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claim

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.

RO-2026-0001:C1

11 relationsasserts · depends on · explains · supported by
claim

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.

RO-2026-0001:C2

11 relationsasserts · depends on · explains · supported by
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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.

RO-2026-0001:C3

7 relationsasserts · depends on · supported by
claim

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.

RO-2026-0001:C4

11 relationsasserts · depends on · explains · supported by
claim

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.

RO-2026-0001:C5

8 relationsasserts · depends on · explains · supported by
claim

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.

RO-2026-0001:C6

7 relationsasserts · depends on · explains · supported by
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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.

RO-2026-0001:C7

10 relationsasserts · depends on · explains · supported by
evidence

data/gap_identity.csv

RO-2026-0001:evidence:data/gap_identity.csv

1 relationsupported by
evidence

data/gibbs_conditioning.csv

RO-2026-0001:evidence:data/gibbs_conditioning.csv

1 relationsupported by
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data/hardness_reduction.csv

RO-2026-0001:evidence:data/hardness_reduction.csv

1 relationsupported by
evidence

data/parity_sensor.csv

RO-2026-0001:evidence:data/parity_sensor.csv

1 relationsupported by
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data/physical_chain.csv

RO-2026-0001:evidence:data/physical_chain.csv

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data/physical_product_parameters.npy

RO-2026-0001:evidence:data/physical_product_parameters.npy

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data/physical_resolution.csv

RO-2026-0001:evidence:data/physical_resolution.csv

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data/resolution_raw.csv

RO-2026-0001:evidence:data/resolution_raw.csv

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data/resolution_summary.csv

RO-2026-0001:evidence:data/resolution_summary.csv

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data/resource_estimate.json

RO-2026-0001:evidence:data/resource_estimate.json

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data/resource_operators.csv

RO-2026-0001:evidence:data/resource_operators.csv

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data/saddle_landscape.npz

RO-2026-0001:evidence:data/saddle_landscape.npz

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data/score_compression.csv

RO-2026-0001:evidence:data/score_compression.csv

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data/tail_bound.csv

RO-2026-0001:evidence:data/tail_bound.csv

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data/thermodynamic_quantization.csv

RO-2026-0001:evidence:data/thermodynamic_quantization.csv

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figures/figure3.pdf

RO-2026-0001:evidence:figures/figure3.pdf

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src/appendices.tex

RO-2026-0001:evidence:src/appendices.tex

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evidence

src/references.bib

RO-2026-0001:evidence:src/references.bib

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src/sections/03-compression.tex

RO-2026-0001:evidence:src/sections/03-compression.tex

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src/sections/03-landscape.tex

RO-2026-0001:evidence:src/sections/03-landscape.tex

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src/sections/05-compiler.tex

RO-2026-0001:evidence:src/sections/05-compiler.tex

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src/sections/06-hardness.tex

RO-2026-0001:evidence:src/sections/06-hardness.tex

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src/sections/07-numerics.tex

RO-2026-0001:evidence:src/sections/07-numerics.tex

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src/sections/08-physical.tex

RO-2026-0001:evidence:src/sections/08-physical.tex

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program

Mathematical Physics

PRG-mathematical-physics

4 relationsadvances · classified as
program

Quantum Information

PRG-quantum-information

5 relationsadvances · classified as
program

Quantum Thermodynamics

PRG-quantum-thermodynamics

6 relationsadvances · classified as
research object

Few-Outcome Readout of Quantum-Fisher-Optimal Measurements: Sharp Bounds and Coherent-Synthesis Hardness

RO-2026-0001

23 relationsadvances · asserts · classified as · communicates
source

src/qsa_core.py

code:src/qsa_core.py

1 relationdepends on
source

src/simulate.py

code:src/simulate.py

1 relationdepends on
source

data/physical_chain.csv

dataset:data/physical_chain.csv

1 relationdepends on
source

Benign-Projective-Landscapes-for-Measured-Quantum-Divergences

external_result:Benign-Projective-Landscapes-for-Measured-Quantum-Divergences

1 relationdepends on
source

BQP-hard-quantum-linear-systems

external_result:BQP-hard-quantum-linear-systems

1 relationdepends on
source

Cable-Gu-Modi-2016-one-clean-qubit-metrology

external_result:Cable-Gu-Modi-2016-one-clean-qubit-metrology

1 relationdepends on
source

Graf-Luschgy-2000-Theorem-6.2

external_result:Graf-Luschgy-2000-Theorem-6.2

1 relationdepends on
source

Liu-Pages-2020-Wasserstein-root-distortion

external_result:Liu-Pages-2020-Wasserstein-root-distortion

1 relationdepends on
source

quantum-Sylvester-solver

external_result:quantum-Sylvester-solver

1 relationdepends on
source

qubitization-and-quantum-signal-processing

external_result:qubitization-and-quantum-signal-processing

1 relationdepends on
source

scalar-quantization-high-rate-theory

external_result:scalar-quantization-high-rate-theory

1 relationdepends on
source

Sheng-2026-Stinespring-score-intertwining-QFI-loss

external_result:Sheng-2026-Stinespring-score-intertwining-QFI-loss

1 relationdepends on
source

Sheng-2026-task-dependent-syndrome-memory

external_result:Sheng-2026-task-dependent-syndrome-memory

1 relationdepends on
story

Why a Quantum Detector Might Need Fewer Answers

STORY-2026-0001

7 relationscommunicates · explains
taxonomy

Block encoding

method:block-encoding

1 relationclassified as
taxonomy

Independent reproduction

method:independent-reproduction

2 relationsclassified as
taxonomy

Literature audit

method:literature-audit

2 relationsclassified as
taxonomy

Numerical validation

method:numerical-validation

2 relationsclassified as
taxonomy

Proof construction

method:proof-construction

4 relationsclassified as
taxonomy

Score quantization

method:score-quantization

1 relationclassified as
taxonomy

Mathematical physics

subject:mathematical-physics

1 relationclassified as
taxonomy

Quantum computational complexity

subject:quantum-complexity

1 relationclassified as
taxonomy

Quantum information

subject:quantum-information

3 relationsclassified as
taxonomy

Quantum measurement

subject:quantum-measurement

1 relationclassified as
taxonomy

Quantum metrology

subject:quantum-metrology

1 relationclassified as
taxonomy

Quantum thermodynamics

subject:quantum-thermodynamics

1 relationclassified as
taxonomy

Open quantum systems

system:open-quantum-systems

1 relationclassified as
taxonomy

Quantum sensors

system:quantum-sensors

2 relationsclassified as
taxonomy

Qubit spin systems

system:qubit-spin-systems