Estimation / CONCEPT
In-between states need not be optimal for a beta prior
At mean photon number one quarter and beta parameters alpha=3, beta=1, a vacuum–two-photon probe has strictly smaller Bayesian error over bounded self-adjoint Fock-space observables than every phased in-between state.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH5
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Integral error in terms of the prior moments
RELATIONSHIP ATLAS
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Proof dependencyStructural affinityDocument link
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Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Attenuatorstructural-affinity · Closed
- Binary measurement incompatibility under pure lossstructural-affinity · Closed
- Binomial and kappa states do not exhaust truncated entropy minimizersstructural-affinity · Closed
- Entropystructural-affinity · Closed
- Entropy Derivative Equals the Modular Gapstructural-affinity · Closed
- Finite-Fock beam-splitter non-extremalitystructural-affinity · Closed
- In-between states do not always minimize Bayesian transmissivity errorstructural-affinity · Closed
- The equiprobable pretty-good-measurement comparison of Cha and Lee failsstructural-affinity · Closed
- Thermofield Marginal and Modular Spectrumstructural-affinity · Closed
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