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Proof of the Orthogonal Measurement Conjecture for Qubit States

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arxiv 0809.0232 v1 pith:UJFJEN5Z submitted 2008-09-01 quant-ph

classification quant-ph
keywords measurementstatesaccessibleinformationorthogonalqubitsignalalphabet
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The accessible information of general signal states is obtained by performing a generalized measurement. In the case that the signal alphabet consists of two states of a qubit system, it is proved that a von Neumann (orthogonal) measurement is sufficient to reach the accessible information.

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Cited by 1 Pith paper

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  1. On Shor's conjecture on the accessible information of quantum dichotomies

    quant-ph 2025-12 conditional novelty 6.0 of 10

    Mutual information is not monotone in guessing probability even for fully binary distributions, and qubit accessible information can be optimized over an explicitly characterized one-parameter family of state-dependen...

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