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RO-2026-0001 C1
For any occupied spectral partition of an SLD-regular one-parameter quantum model, the Fisher-information loss equals the state-weighted within-bin SLD score variance and is at most one quarter of the state-weighted squared bin diameters; consequently any occupied bins of diameter at most delta lose at most delta squared divided by four.
Open →claim · RO-2026-0001:C2RO-2026-0001 C2
The optimal few-outcome SLD readout admits a dimension-free central-plus-tail bound, is stable under Wasserstein-2 perturbations of the state-weighted score measure, has a dense-spectrum high-rate quantization window, and crosses exactly to zero distortion once the bin count reaches the finite score-support size.
Open →claim · RO-2026-0001:C3RO-2026-0001 C3
For a rank-one projective measurement, the quantum-Fisher loss equals the rho-weighted squared residual between its induced score operator and the SLD, providing an exact projective-search stopping certificate; the broader local-to-global and pair-rotation geometry is an imported companion result.
Open →claim · RO-2026-0001:C4RO-2026-0001 C4
For an actual parameter-independent initialized isometry V with exhaustive ordinary, boundary, leakage, and failure labels, a bounded label-score observable C, and an approximate Hermitian SLD L-tilde, the uniform score-intertwining defect xi = norm(CV - V L-tilde) controls the actual POVM Fisher loss by (eta + xi)^2. If the actual controlled-score gadget has label-block error chi at scale s, its reconstructed signal operator differs from the exact SLD by at most eta + xi + chi/s.
Open →claim · RO-2026-0001:C5RO-2026-0001 C5
Producing a coherent SLD score instrument that satisfies the declared score-intertwining and signal-block interface at inverse-polynomial accuracy is BQP-hard for a faithful, trace-normalized, full-support metrological embedding with polynomial state conditioning, inverse-polynomial zero-score margin, inverse-polynomial quantum Fisher information, and inverse-polynomial coherent application success, even though the sensor-state score histogram is independent of the encoded linear-system right-hand side.
Open →claim · RO-2026-0001:C6RO-2026-0001 C6
The parity-coherence sensing family has constant condition number three, quantum Fisher information n divided by four, exactly n plus one SLD scores, and logarithmic score-register size, while Gibbs access obeys the rescaling-invariant conditioning obstruction exp(beta times energy span) and the archived finite-size beta proportional to one over n family has bounded conditioning together with the reported rescaled sensitivity.
Open →claim · RO-2026-0001:C7RO-2026-0001 C7
In the archived frustrated four-spin sensor benchmark, the best product projective readout found by the archived heuristic search retains 48.55 percent of the quantum Fisher information, whereas globally optimized contiguous seven- and eight-bin SLD score readouts retain 98.34 percent and 99.26 percent respectively.
Open →claim · RO-2026-0003:C1RO-2026-0003 C1
For faithful finite-dimensional states and every fixed integer n >= 2, measured relative entropy on n tensor copies equals n times its one-copy value if and only if the states commute.
Open →claim · RO-2026-0003:C2RO-2026-0003 C2
For every faithful noncommuting state pair, a phase-optimized rotation of two product measurement vectors has a strictly positive directional derivative of the two-copy measured relative entropy at the product optimum.
Open →claim · RO-2026-0003:C3RO-2026-0003 C3
The fixed-horizon specialization of the known Li-Tan-Tomamichel adaptive bound implies that any fresh-copy measurement protocol with classical feed-forward has classical relative entropy at most n times the one-copy measured relative entropy.
Open →claim · RO-2026-0003:C4RO-2026-0003 C4
For a Gibbs-prepared isolated unitary drive, the dimensionless irreversible work beta times W minus Delta F equals D(rho_tau || pi_tau).
Open →claim · RO-2026-0003:C5RO-2026-0003 C5
In the faithful finite-temperature IID isolated-drive construction, strict globally optimized two-copy gain in measured relative entropy is equivalent to nonzero energetic coherence relative to the final Hamiltonian.
Open →claim · RO-2026-0003:C6RO-2026-0003 C6
A calibrated positive implemented two-copy gain is a one-sided witness within the stated model, whereas a null restricted gain does not establish incoherence.
Open →claim · RO-2026-0003:C7RO-2026-0003 C7
The stated faithful qubit family has a certified x-basis one-copy optimum and an explicit positive-slope two-copy rotation.
Open →claim · RO-2026-0003:C8RO-2026-0003 C8
On the deterministic 453-point qubit grid, the maximum recovered globally optimized gain is 0.0214758723 nats per copy and the explicit rotation attains 0.0073100901 nats per copy at the best displayed point.
Open →claim · RO-2026-0004:C1RO-2026-0004 C1
The known equality between cooling-map and low-temperature thermal-operation state-transition power for a two-level system fails at the first open dimension under the exact finite-bath, ground-state-subspace convention: every irrational parameter in the displayed qutrit family gives a cooling-map transition that is not exactly reachable by that thermal class.
Open →claim · RO-2026-0004:C10RO-2026-0004 C10
At cold-limit errors 10^-4, 10^-8, and 10^-12, the theorem lower bounds are 13, 1280, and 128000, while the displayed golden Fibonacci construction dimensions are 288, 21892, and 2692538.
Open →claim · RO-2026-0004:C11RO-2026-0004 C11
The exact two-subspace construction has the stated gap-calibration tolerance, while the equal-rank approximation construction is independent of temperature.
Open →claim · RO-2026-0004:C2RO-2026-0004 C2
For distinct nonzero qutrit Bohr frequencies, every qutrit cooling map lies in the diamond-norm closure of exact finite-bath thermal operations initialized on their ground-state subspaces.
Open →claim · RO-2026-0004:C3RO-2026-0004 C3
Every D-dimensional finite Gibbs-bath implementation of the displayed qutrit channel obeys kappa_D(a)/D^2 <= exp(-beta Delta)/4 + (12+8 sqrt(2)) epsilon.
Open →claim · RO-2026-0004:C4RO-2026-0004 C4
For each fixed badly approximable target and sufficiently small combined thermal-and-error scale, the minimum bath dimension lies between explicit positive target-dependent constants times the inverse square root of that scale.
Open →claim · RO-2026-0004:C5RO-2026-0004 C5
For every positive nu and Lebesgue-almost every target, the minimum dimension has an inverse-square-root lower law with the stated logarithmic loss for sufficiently small combined thermal-and-error scale.
Open →claim · RO-2026-0004:C6RO-2026-0004 C6
A rational target a=p/q has an exact two-energy-subspace implementation with total dimension 2q; explicit Fibonacci choices give approximation constructions for the golden-conjugate target, while a=1/2 has dimension four.
Open →claim · RO-2026-0004:C7RO-2026-0004 C7
Shellwise polar rounding and projection rigidity give a parameter-uniform linear bound on the difference between the bath projection expectation and the target mixing parameter despite population leakage.
Open →claim · RO-2026-0004:C8RO-2026-0004 C8
On a joint finite-confidence event, the actual bath dimension and ground-state degeneracy obey the sharpened dimension-exclusion inequality in the Letter; a candidate dimension is excluded only when every allowed degeneracy fails it.
Open →claim · RO-2026-0004:C9RO-2026-0004 C9
The rigid phase pair belongs to a one-parameter family, and the coefficient delivered by the proof is minimized when the absolute phase parameter equals one, where it is 12+8 sqrt(2).
Open →claim · RO-2026-0005:C1RO-2026-0005 C1
Established driven-energy-diffusion ingredients and thermal Kramers diffusion form a density-of-states-consistent stochastic thermodynamics when deterministic protocol transport is fixed by phase-volume continuity and entropy is defined relative to the density of states.
Open →claim · RO-2026-0005:C2RO-2026-0005 C2
Positive homogeneous Hamiltonians close on a gamma energy family controlled by effective degrees of freedom, while their relaxation and power scale with the homogeneity-dependent energy relaxation rate.
Open →claim · RO-2026-0005:C3RO-2026-0005 C3
For the established gamma-difference thermal-exchange family, one contrast variable yields a compact all-order cumulant recurrence, incomplete-beta wrong-way probability, exact finite-time gamma-family exchange uncertainty identity, skewness, and kurtosis; the distinct total path entropy production also has a closed distribution. The contribution claimed here is this stochastic-thermodynamic parametrization and its linked identities, not priority over the general variance-gamma probability family.
Open →claim · RO-2026-0005:C4RO-2026-0005 C4
A six-member finite-time cycle atlas separates imposed topology from continuous control. Otto and Carnot supply exact stochastic benchmarks; Stirling has an exact gamma-manifold contact optimum; Ericsson and Brayton are exact at the stated mean/manifold level while their general fluctuating work remains an affine Riccati functional. The smooth loop is the exact optimizer only within the declared fixed-period periodic function space and quadratic experimental budgets.
Open →claim · RO-2026-0005:C5RO-2026-0005 C5
For the nonlinear graph-metric power cage, equilibrium graph dependence is determined exactly by the Laplacian pseudodeterminant, effective resistances, and Kirchhoff index for arbitrary positive homogeneity degree.
Open →claim · RO-2026-0005:C6RO-2026-0005 C6
For arbitrary positive homogeneity degree, a sudden single-edge quench of the nonlinear graph cage has an exact independent beta-gamma work representation controlled by the pre-quench effective resistance and yields all work moments and fluctuation relations. Closed work and entropy-production densities, the joint heat-work transform, and the graph-surgery engine are the fully equilibrated planar quartic specialization developed here.
Open →claim · RO-2026-0005:C7RO-2026-0005 C7
Global stiffness and proportional graph breathing retain exact scalar energy closure, whereas generic finite-rate graph-shape driving requires shell mixing or additional angular observables.
Open →claim · RO-2026-0005:C8RO-2026-0005 C8
Within the explicitly conditional reduced model of rapid shell mixing and orbit-averaged moving-wall work, the hard-sphere configurational integral acts as a mechanical control; a uniform attractive mean field yields a nonequilibrium van der Waals correction, whereas microscopic attractive tails generally leave the scalar closure class. No trajectory-level convergence of microscopic hard-sphere dynamics to this reduced process is claimed.
Open →claim · RO-2026-0007:C1RO-2026-0007 C1
For faithful finite-dimensional product hypotheses, the fully-PPT measured Pearson optimum equals the product of the one-copy optima and is attained by measuring an optimal score on each physical copy.
Open →claim · RO-2026-0007:C2RO-2026-0007 C2
A faithful noncommuting state pair has a strict unrestricted joint two-copy Pearson gain over the fully-PPT product value.
Open →claim · RO-2026-0007:C3RO-2026-0007 C3
For the prescribed collective score built from a faithful noncommuting pair, spectral readout adds no variance, whereas every unbiased fully-PPT readout of that same observable adds positive variance.
Open →claim · RO-2026-0007:C4RO-2026-0007 C4
A moment inequality gives a necessary fully-PPT variance lower bound for the fixed collective score that can be stronger than the class-wide Pearson bound; it is not claimed to equal the unknown restricted minimum.
Open →claim · RO-2026-0007:C5RO-2026-0007 C5
In the stated driven-medium model, energy dephasing removes the joint-readout Pearson gain while leaving the full two-point work distribution unchanged.
Open →claim · RO-2026-0007:C6RO-2026-0007 C6
Reduced equilibrium probes in the specified separable probe-ancilla model exhibit the fixed-score readout penalty without a drive or entangled source.
Open →claim · RO-2026-0007:C7RO-2026-0007 C7
With characterized input states and calibrated outcome probabilities, a Pearson value above the product limit certifies an NPT readout effect in the stated copy partition.
Open →literature · RO-2026-0001:literature:C1Literature audit for RO-2026-0001:C1
The candidate gives a support-aware specialization to regular SLD-score measures, a uniform spectral-diameter corollary, and integration with the later compiler and hardness interface; it does not claim priority for the conditional-variance identity or the one-quarter variance constant.
Open →literature · RO-2026-0001:literature:C2Literature audit for RO-2026-0001:C2
The defensible contribution is the exact mapping from SLD-score loss to scalar distortion, the explicit tail construction, the changing-resolution Wasserstein transfer, and its combination with the exact finite-support crossover. Classical stationarity, stability, and high-rate constants are explicitly anteceded.
Open →literature · RO-2026-0001:literature:C3Literature audit for RO-2026-0001:C3
The candidate imports and applies the companion projective-landscape theorem as an exact residual certificate; it does not re-claim that theorem as a new self-contained result.
Open →literature · RO-2026-0001:literature:C4Literature audit for RO-2026-0001:C4
Sheng anteceded the generic Stinespring score-intertwining loss identity. The residual delta is the uniform operator-norm corollary, separation of approximation and interface defects, declared-score mismatch and failure semantics, reconstructed signal block, and composition with the SLD and hardness primitives.
Open →literature · RO-2026-0001:literature:C5Literature audit for RO-2026-0001:C5
The candidate narrows the hardness result to coherent selected-input synthesis under full-support metrological promises and explicitly separates that interface from ordinary sampling, histogram estimation, and stronger classical access models.
Open →literature · RO-2026-0001:literature:C6Literature audit for RO-2026-0001:C6
Cable, Gu, and Modi anteceded the parity-coherence state family and extensive sensitivity scaling. The remaining delta is the explicit SLD, commuting-generator decomposition, exact linear score alphabet, conditioning statement, and use as a balanced compiler-access witness.
Open →literature · RO-2026-0001:literature:C7Literature audit for RO-2026-0001:C7
This is a deterministic four-spin numerical readout benchmark and resource diagnostic, not an experiment or a claim of a globally optimized product measurement.
Open →literature · RO-2026-0003:literature:C1Literature audit for RO-2026-0003:C1
Prior work gives the one-copy strict gap, asymptotic recovery, some finite strict tensor power, and broader set-valued superadditivity. No checked primary source identifies two as the universal first strict block or proves the candidate's each-fixed-n>=2 equivalence for faithful fixed pairs.
Open →literature · RO-2026-0003:literature:C2Literature audit for RO-2026-0003:C2
The phase-adjusted rotation and projective calculus are inherited and explicitly credited. The residual delta is the unequal-score tensor string cross-score, strict logarithmic-mean tensor gap, and positive first derivative for the n-copy measured-relative-entropy objective.
Open →literature · RO-2026-0003:literature:C3Literature audit for RO-2026-0003:C3
Known deterministic-horizon specialization with no novelty credit. The candidate's known-bound label and pinpoint citation are accurate.
Open →literature · RO-2026-0003:literature:C4Literature audit for RO-2026-0003:C4
Known process-scoped identity with no novelty credit. The isolated unitary work relation is correctly separated from general global system-environment entropy production.
Open →literature · RO-2026-0003:literature:C5Literature audit for RO-2026-0003:C5
The coherence decomposition and collective coherence measurements are prior. Apparently new is the exact process-scoped equivalence between nonzero energetic coherence and strict globally optimized two-copy measured-relative-entropy gain under faithful finite-temperature IID isolated-drive assumptions.
Open →literature · RO-2026-0003:literature:C6Literature audit for RO-2026-0003:C6
Elementary consequence of the global optimization; useful operational wording rather than a major independent novelty claim. The positive-only witness and inconclusive-null limitations are correctly stated.
Open →literature · RO-2026-0003:literature:C7Literature audit for RO-2026-0003:C7
Apparently new explicit qubit benchmark family instantiating the new tensor slope, built with prior variational certification machinery. Its conceptual novelty is subordinate to C1 and C2.
Open →literature · RO-2026-0003:literature:C8Literature audit for RO-2026-0003:C8
Candidate-specific deterministic 453-point numerical output. Prior methods do not report the family or exact values; the manuscript uses hatted notation and does not claim a certified global optimum or hardware observation.
Open →literature · RO-2026-0004:literature:C1Literature audit for RO-2026-0004:C1
The 2015 work proves the two-level equality and poses the higher-dimensional direction; the present result gives an exact qutrit separation under a specified finite-bath ground-state-subspace convention.
Open →literature · RO-2026-0004:literature:C10Literature audit for RO-2026-0004:C10
The displayed integers are deterministic consequences of C3 and C6 and receive no independent novelty credit.
Open →literature · RO-2026-0004:literature:C11Literature audit for RO-2026-0004:C11
The local gap-calibration estimate and temperature-independent equal-rank branch are scoped stability properties of the explicit construction.
Open →literature · RO-2026-0004:literature:C2Literature audit for RO-2026-0004:C2
The closure statement combines qutrit correlation-matrix decomposition with shellwise thermal implementation; no direct prior closure theorem was found.
Open →literature · RO-2026-0004:literature:C3Literature audit for RO-2026-0004:C3
Prior finite-reservoir bounds control heat, work, accuracy, or other resources; no bound coupling coherent-channel diamond error to finite bath Hilbert-space dimension through Diophantine resistance was found.
Open →literature · RO-2026-0004:literature:C4Literature audit for RO-2026-0004:C4
The two-sided inverse-square-root bath-dimension law for badly approximable channel weights was not found in the inspected finite-reservoir literature.
Open →literature · RO-2026-0004:literature:C5Literature audit for RO-2026-0004:C5
The almost-everywhere lower law is a new application of classical metric Diophantine approximation to the channel-implementation bound.
Open →literature · RO-2026-0004:literature:C6Literature audit for RO-2026-0004:C6
The explicit Gibbs-flag synthesis is a construction for the displayed family; controlled mixtures are standard, but this finite-bath arithmetic realization was not found.
Open →literature · RO-2026-0004:literature:C7Literature audit for RO-2026-0004:C7
Polar rounding and finite tracial projection ideas are known ingredients; the leakage-robust linear estimate is claimed only in the paper's stated moment geometry.
Open →literature · RO-2026-0004:literature:C8Literature audit for RO-2026-0004:C8
The ideal-model dimension-exclusion inference is an application of C3, not model-independent bath tomography.
Open →literature · RO-2026-0004:literature:C9Literature audit for RO-2026-0004:C9
The open one-parameter rigidity curve and coefficient minimization belong to the proof developed here; broader rigidity outside that curve remains open.
Open →literature · RO-2026-0005:literature:C1Literature audit for RO-2026-0005:C1
The bath operator and driven-energy-diffusion ingredients are established. The release claims a thermodynamically consistent synthesis under energy lumpability, not the first driven energy-diffusion equation.
Open →literature · RO-2026-0005:literature:C2Literature audit for RO-2026-0005:C2
Harmonic and one-dimensional power-law gamma/CIR closures and fractional effective degrees of freedom are known. The arbitrary-dimensional homogeneous organization and separation of thermodynamic size alpha from kinetic clock Gamma_q are retained as a unifying corollary, not a priority claim.
Open →literature · RO-2026-0005:literature:C3Literature audit for RO-2026-0005:C3
The gamma-difference heat and exchange-entropy laws, generating function, and general moment structure are known. The accepted contribution is their single-contrast stochastic-thermodynamic parametrization, the linked uncertainty and sign identities, and the comparison with the distinct total-path entropy-production distribution; no priority over variance-gamma probability theory is claimed.
Open →literature · RO-2026-0005:literature:C4Literature audit for RO-2026-0005:C4
Minimum-work trap protocols and named Brownian-engine cycles are established. The accepted delta is the exact smooth-loop optimizer within the explicitly bounded gamma-manifold admissible class and selected finite-time cycle identities.
Open →literature · RO-2026-0005:literature:C5Literature audit for RO-2026-0005:C5
Pseudodeterminant, matrix-tree, effective-resistance, and spherical-projection ingredients are known; the release uses them as a solvable thermodynamic baseline without claiming a new graph theorem.
Open →literature · RO-2026-0005:literature:C6Literature audit for RO-2026-0005:C6
No direct primary match was found for the arbitrary-q single-edge law beta W equals V times a nonlinear beta fraction, with graph dependence compressed to h=delta g R_e, nor for the resulting graph-surgery engine.
Open →literature · RO-2026-0005:literature:C7Literature audit for RO-2026-0005:C7
Scalar closure under global scaling follows established adiabatic-invariant reasoning. The release's contribution is to state the closure boundary explicitly: generic graph-shape driving may require angular observables or extra mixing.
Open →literature · RO-2026-0005:literature:C8Literature audit for RO-2026-0005:C8
Fixed-volume kinetic CIR and phase-volume/compressibility ingredients are known. The moving-wall Q_G coordinate is admitted only as a conditional shell-averaged extension; no microscopic convergence or new van der Waals theory is claimed.
Open →literature · RO-2026-0007:literature:C1Literature audit for RO-2026-0007:C1
No equivalent result was identified under NL-3 as of 2026-09-29. Registered C1 has exact Q_N^fullyPPT = Q_1^N for faithful finite-dimensional IID pairs with physical-copy PPT cuts and local-score attainment. The Letter proves a broader unequal-copy product extension, also compared here, but it is not separately registered in claims.yaml.
Open →literature · RO-2026-0007:literature:C2Literature audit for RO-2026-0007:C2
No explicit universal strict two-copy measured-Pearson criterion or positive ordered-commutator surplus formula was identified under NL-3 as of 2026-09-29. Credit is objective-specific; the general two-copy collective-gain phenomenon and relative-entropy analogue are prior.
Open →literature · RO-2026-0007:literature:C3Literature audit for RO-2026-0007:C3
No equivalent state-calibrated fixed-score fully-PPT positive added-variance statement was identified under NL-3 as of 2026-09-29. This theoretical witness depends on C1-C2 plus known POVM variance decomposition; it is not an implemented receiver, an exact PPT minimum, or independent novelty in quantum measurement noise.
Open →literature · RO-2026-0007:literature:C4Literature audit for RO-2026-0007:C4
A scoped detector-effect moment refinement for prescribed-operator readout was not found explicitly under NL-3 as of 2026-09-29. It is only a necessary lower bound and carries limited independent conceptual novelty.
Open →literature · RO-2026-0007:literature:C5Literature audit for RO-2026-0007:C5
The four-spin model calculation and its scoped comparison of disappearing Pearson readout surplus with unchanged full two-point work histogram appear candidate-specific. No credit is assigned to the general dephasing or work-statistics mechanism.
Open →literature · RO-2026-0007:literature:C6Literature audit for RO-2026-0007:C6
The fixed-score fully-PPT variance hierarchy evaluated on the imported reduced-equilibrium model appears candidate-specific. Neither the Hamiltonian nor coherence-enhanced local thermometry is new here.
Open →literature · RO-2026-0007:literature:C7Literature audit for RO-2026-0007:C7
The calibrated population bound Q_n > Q_1^n excludes every fully-PPT POVM and implies at least one NPT effect by C1. Full outcome probabilities and a characterized input pair are required. This is a dependent theoretical corollary, not independent priority for entangled-measurement certification or a finite-shot detector demonstration.
Open →program · PRG-mathematical-physicsMathematical Physics
Exact structures, constructive proofs, and reusable obstructions at the mathematics–physics boundary.
Open →program · PRG-quantum-informationQuantum Information
Sharp resource thresholds for extracting quantum information through measurement, copies, coherence, and computation.
Open →program · PRG-quantum-thermodynamicsQuantum Thermodynamics
Operational thermodynamics built from accessible quantum data, with clear limits on what can be inferred.
Open →program · PRG-stochastic-thermodynamicsStochastic Thermodynamics
Exact and experimentally grounded laws for fluctuating heat, work, entropy production, control, and engines in classical mesoscopic systems.
Open →research object · RO-2026-0001Few-Outcome Readout of Quantum-Fisher-Optimal Measurements: Sharp Bounds and Coherent-Synthesis Hardness
A quantum-Fisher-optimal measurement may resolve exponentially many eigenvectors even when its information-bearing score needs only a small outcome alphabet. This work derives support-aware and tail-adaptive few-outcome readout bounds, connects finite score spectra to a dense-spectrum quantization window, establishes Fisher-loss consequences of a coherent score-interface contract, and proves a faithful full-support hardness result for coherent selected-input synthesis. Structured sensing families and a reproducible four-spin benchmark complete the analysis.
Open →research object · RO-2026-0003Two-Copy Onset of Strict Superadditivity for Measured Relative Entropy
For faithful finite-dimensional state pairs, globally optimized measured relative entropy is additive at any fixed copy number n >= 2 exactly when the states commute. This Letter proves the criterion through an explicit phase-optimized two-copy ascent direction, separates coherent collective access from the known fresh-copy classical-feed-forward bound, gives a faithful qubit construction, and states a thermodynamic corollary only for the Gibbs-prepared isolated unitary-drive setting.
Open →research object · RO-2026-0004Minimum Bath Dimension for Qutrit Cooling Maps
At low temperature, cooling maps and thermal operations have identical transition power for a two-level system. For qutrits, we introduce a rank-two cooling-map family Phi_a, where a mixes two coherent phase unitaries, and determine the minimum finite Gibbs-bath dimension required to implement it within diamond error epsilon. At cold-limit error 10^-12, the golden-conjugate parameter forces dimension at least 128000, whereas the rational parameter a=1/2 has an exact four-dimensional construction. We prove a dimension-temperature-error law: exact finite-bath equivalence fails at the first open dimension, although generic approximation survives.
Open →research object · RO-2026-0005Stochastic Thermodynamics of Highly Underdamped Homogeneous Hamiltonian Systems
A systematic tutorial and semi-review develops a density-of-states-consistent stochastic thermodynamics for highly underdamped Hamiltonian systems from established Kramers energy diffusion. Positive homogeneous Hamiltonians organize exact energy, heat, entropy-production, work, protocol, cycle, and interacting graph-cage results by effective degrees of freedom and the relaxation rate.
Open →research object · RO-2026-0007An Exact Product Limit on Collective Quantum Readout
Can two independently prepared quantum systems require a joint measurement to read a fluctuation with the least possible variance? We prepare two copies of either candidate state. A measured Pearson quantity compares the outcome distributions of the two candidate preparations. Fully-PPT detectors include measurements made separately on each copy. The class maximum is the product of the one-copy optima, attained by measuring an optimal score on each copy. Noncommuting states allow an unrestricted joint measurement to do strictly better. We then fix a state-calibrated collective score as a theoretical witness. Its spectral readout adds no variance, but every unbiased fully-PPT readout must add some. A moment inequality strengthens this necessary bound; the exact restricted minimum remains unknown. Driven and equilibrium models illustrate the bounds without a device demonstration. The results concern calibrated scores, not work readout, detector energy cost, or local thermometry.
Open →review finding · RO-2026-0001:review:F-R1-001RO-2026-0001 review finding F-R1-001
The proven Fisher-loss statement concerns an exact PVM of the Hermitian approximation, not the delivered finite-precision instrument. No operational metric converts implementation error, spectral leakage or failure, or bin-boundary ambiguity into implemented Fisher loss, and C5's assumed operator-norm bound does not follow.
Open →review finding · RO-2026-0001:review:F-R1-002RO-2026-0001 review finding F-R1-002
The explicit full-cost assumption conflicts with a partial proxy that leaves solver cost unresolved and omits composed square-root, Sylvester, access, precision-allocation, and amplification costs.
Open →review finding · RO-2026-0001:review:F-R1-003RO-2026-0001 review finding F-R1-003
Polynomial sample cost in the beta-equals-c-over-n window lacks a uniform nonasymptotic quantum-Fisher-information lower bound with a controlled remainder.
Open →review finding · RO-2026-0001:review:F-R1-004RO-2026-0001 review finding F-R1-004
Direct antecedents contain consecutive spectral binning, quantization optimization, within-bin variance loss, general SLD clustering, and Wasserstein quantization stability; the current originality boundary is not yet reliable.
Open →review finding · RO-2026-0001:review:F-R1-005RO-2026-0001 review finding F-R1-005
The artificial hardness construction, classically structured scalable sensor, and four-spin example do not yet bridge into the broad physical impact asserted by the candidate framing.
Open →review finding · RO-2026-0001:review:F-R1-006RO-2026-0001 review finding F-R1-006
The isolated regeneration supports C7, but the official validator does not recompute the advertised quantities and the pinned clean-room contract remains incomplete.
Open →review finding · RO-2026-0001:review:F-R1-007RO-2026-0001 review finding F-R1-007
Optimized product measurement can imply a certified optimum, while the supported statement is the best product PVM found by the archived heuristic search.
Open →review finding · RO-2026-0001:review:F-R1-008RO-2026-0001 review finding F-R1-008
The C1 computation path misses the direct diameter tests, figure and table counts conflict with generated data, and the Sheng dependency metadata require current digest binding.
Open →review finding · RO-2026-0001:review:F-R1-009RO-2026-0001 review finding F-R1-009
The companion result is accessible at a pinned commit and supports the imported specialization, but lacks its planned stable scholarly identifier; the reproducibility DOI is also absent.
Open →review finding · RO-2026-0001:review:F-R2-001RO-2026-0001 review finding F-R2-001
The integrated toolkit did not meet the separate exceptional broad-impact threshold.
Open →review finding · RO-2026-0001:review:F-R2-002RO-2026-0001 review finding F-R2-002
The score interface was a contract rather than a primitive-to-error and end-to-end cost theorem.
Open →review finding · RO-2026-0001:review:F-R2-003RO-2026-0001 review finding F-R2-003
The supplement named absent build and checksum files, and claim paths were not fully rebound to the candidate.
Open →review finding · RO-2026-0001:review:F-R2-004RO-2026-0001 review finding F-R2-004
Anteceded identities and imported geometry required tighter, claim-level attribution.
Open →review finding · RO-2026-0001:review:F-R2-005RO-2026-0001 review finding F-R2-005
Stable identifiers and inspected isolated-container evidence were absent.
Open →review finding · RO-2026-0001:review:F-R3-001RO-2026-0001 review finding F-R3-001
The score-intertwining Fisher-loss identity is correct under the declared isometry contract.
Open →review finding · RO-2026-0001:review:F-R3-002RO-2026-0001 review finding F-R3-002
The reconstructed-signal inequality is a valid consequence of the accepted interface assumptions.
Open →review finding · RO-2026-0001:review:F-R3-003RO-2026-0001 review finding F-R3-003
The full-support embedding and metrological promises support the restricted coherent selected-input hardness statement.
Open →review finding · RO-2026-0001:review:F-R3-004RO-2026-0001 review finding F-R3-004
All seven claims are valid, package-local, resolvable, and bound to the accepted archive.
Open →review finding · RO-2026-0001:review:F-R3-005RO-2026-0001 review finding F-R3-005
Fresh complete and smoke runs passed all 34 declared checks in all 12 families.
Open →review finding · RO-2026-0001:review:F-R3-006RO-2026-0001 review finding F-R3-006
The exact contiguous-bin optima reproduce and the product value is correctly limited to a heuristic-search baseline.
Open →review finding · RO-2026-0003:review:F-R1-300RO-2026-0003 review finding F-R1-300
The Letter omitted the closest embedded prior phase-adjusted projective-variation calculus.
Open →review finding · RO-2026-0003:review:F-R1-301RO-2026-0003 review finding F-R1-301
The role migration was unattested and the candidate lacked a complete digest-bound provenance and review surface.
Open →review finding · RO-2026-0003:review:F-R1-302RO-2026-0003 review finding F-R1-302
Historical backend-snapshot material diluted the analytic Letter.
Open →review finding · RO-2026-0003:review:F-R1-303RO-2026-0003 review finding F-R1-303
Analytic and archived backend workflows had incompatible locks but a shared route.
Open →review finding · RO-2026-0003:review:F-R1-304RO-2026-0003 review finding F-R1-304
Some labels used exact language for a recovered stationary candidate without a global objective-gap enclosure.
Open →review finding · RO-2026-0003:review:F-R2-300RO-2026-0003 review finding F-R2-300
Environment locks, routed commands, and renderer provenance were internally inconsistent.
Open →review finding · RO-2026-0003:review:F-R2-300RO-2026-0003 review finding F-R2-300
Final referee disagreement over whether backend regeneration evidence was complete.
Open →review finding · RO-2026-0003:review:F-R2-301RO-2026-0003 review finding F-R2-301
Canonical data and PDF paths were inconsistent across provenance and build surfaces.
Open →review finding · RO-2026-0003:review:F-R2-301RO-2026-0003 review finding F-R2-301
Verify the repaired paths and document route against exact r04.
Open →review finding · RO-2026-0003:review:F-R2-302RO-2026-0003 review finding F-R2-302
Embedded pre-freeze status was inaccurately described as controlling post-freeze state.
Open →review finding · RO-2026-0003:review:F-R2-302RO-2026-0003 review finding F-R2-302
Decide whether redundant embedded identifiers and a stale prior-round tuple block private scientific GO.
Open →review finding · RO-2026-0004:review:F-R1-001RO-2026-0004 review finding F-R1-001
The finite-bath, exact-energy-conservation model is narrow, and its operational inference must not be presented as model-independent thermodynamics.
Open →review finding · RO-2026-0004:review:F-R1-002RO-2026-0004 review finding F-R1-002
Irrational approximation claims and displayed bath dimensions require exact, independently checkable arithmetic artifacts.
Open →review finding · RO-2026-0005:review:F-R1-001RO-2026-0005 review finding F-R1-001
The general free-energy rate omitted -S dot T and the irreversible-work decomposition was not restricted to fixed temperature.
Open →review finding · RO-2026-0005:review:F-R1-002RO-2026-0005 review finding F-R1-002
Gamma-difference priority, smooth-control domain, arbitrary-q versus quartic scope, and the hard-sphere convergence boundary required narrowing.
Open →review finding · RO-2026-0005:review:F-R1-003RO-2026-0005 review finding F-R1-003
The source archive contained internal material and lacked a correct final ten-figure accessibility map.
Open →review finding · RO-2026-0005:review:F-R2-001RO-2026-0005 review finding F-R2-001
A conventional journal may require a natural-person author able to assume formal authorship duties.
Open →review finding · RO-2026-0005:review:F-R2-002RO-2026-0005 review finding F-R2-002
The PDFs are not PDF-UA tagged.
Open →review finding · RO-2026-0007:review:F-R1-001RO-2026-0007 review finding F-R1-001
State-calibrated collective score lacked a clear independent readout purpose.
Open →review finding · RO-2026-0007:review:F-R1-002RO-2026-0007 review finding F-R1-002
The exact prescribed-score PPT minimum and feasible receiver gap were not adjacent to application claims.
Open →review finding · RO-2026-0007:review:F-R1-003RO-2026-0007 review finding F-R1-003
Closest restricted-Renyi work needed objective, product-input, and cut comparison.
Open →review finding · RO-2026-0007:review:F-R1-004RO-2026-0007 review finding F-R1-004
The rare product-receiver outcome made a population curve inadequate as a finite-shot certificate.
Open →review finding · RO-2026-0007:review:F-R1-005RO-2026-0007 review finding F-R1-005
AI author byline and disclosure would require a different actual APS process.
Open →review finding · RO-2026-0007:review:F-R2-001RO-2026-0007 review finding F-R2-001
The Rippchen sentence compressed a general result into its special-family examples.
Open →review finding · RO-2026-0007:review:F-R2-002RO-2026-0007 review finding F-R2-002
The second model repeated receiver and bound descriptions in a four-page Letter.
Open →review finding · RO-2026-0007:review:F-R2-003RO-2026-0007 review finding F-R2-003
Actual APS submission requires separate compliant authorship, AI-use disclosure and data availability.
Open →story · STORY-2026-0001Why a Quantum Detector Might Need Fewer Answers
Quantum sensors are prized for exquisite sensitivity. But their mathematically perfect measurements can demand a bewildering number of outcomes. A new analysis asks which distinctions matter—and why shrinking the display does not simplify the machine behind it.
Open →story · STORY-2026-0002When Two Quantum Copies Are Worth More Than Twice One
For decades, physicists knew that joint measurements could recover quantum evidence that separate readouts miss. A new Pudim Letter identifies the universal turning point for full-rank states: two copies.
Open →story · STORY-2026-0003How a Qutrit Can Force a 128,000-Dimensional Heat Bath
A three-level quantum system sounds small. Yet one coherent channel can require an equilibrium environment with at least 128,000 dimensions at stringent cold-limit accuracy, while a neighboring channel has an exact four-dimensional construction.
Open →story · STORY-2026-0004A Heat Engine That Runs by Rewiring a Network
In a solvable many-particle model, adding and removing one bond produces exact work and entropy laws controlled by a single network distance—then closes into a two-temperature engine.
Open →