New parametric entropy inequalities are derived from an accessible-information optimality criterion, reducing the quantum-pyramid conjecture to proving these inequalities.
Proof of the Orthogonal Measurement Conjecture for Qubit States
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abstract
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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Quantum accessible information and classical entropy inequalities
New parametric entropy inequalities are derived from an accessible-information optimality criterion, reducing the quantum-pyramid conjecture to proving these inequalities.