On the optimal error exponents for classical and quantum antidistinguishability

Mishra, Hemant K.; Nussbaum, Michael; Wilde, Mark M.

doi:10.1007/s11005-024-01821-z

Lett Math Phys

2024

DOI: 10.1007/s11005-024-01821-z

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On the optimal error exponents for classical and quantum antidistinguishability

Hemant K. Mishra,

Michael Nussbaum,

Mark M. Wilde

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2024

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Cited by 3 publications

References 47 publications

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Geometric relative entropies and barycentric Rényi divergences

Mosonyi,

Bunth,

Vrana

2024

Linear Algebra and its Applications

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Geometric relative entropies and barycentric Rényi divergences

Mosonyi,

Bunth,

Vrana

2024

Linear Algebra and its Applications

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Quantum state exclusion through offset measurement

McIrvin,

Mohan,

Sikora

2024

Phys. Rev. A

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Operational interpretation of the Choi rank through exclusion tasks

Stratton,

Hsieh,

Skrzypczyk

2024

Phys. Rev. A

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The Choi state is an indispensable tool in the study and analysis of quantum channels. Considering a channel in terms of its associated Choi state can greatly simplify problems. It also offers an alternative approach to the characterization of a channel, with properties of the Choi state providing novel insight into a channel's behavior. The rank of a Choi state, termed the Choi rank, has proven to be an important characterizing property, and here, its significance is further elucidated through an operational interpretation. The Choi rank is shown to provide a universal bound on how successfully two agents, Alice and Bob, can perform an entanglement-assisted exclusion task. The task can be considered an extension of superdense coding, where Bob can only output information about Alice's encoded bit string with certainty. Conclusive state exclusion, in place of state discrimination, is therefore considered at the culmination of the superdense coding protocol. In order to prove this result, a necessary condition for conclusive k-state exclusion of a set of states is presented in order to achieve this result, and the notions of weak and strong exclusion are introduced. Published by the American Physical Society 2024

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On the optimal error exponents for classical and quantum antidistinguishability

Cited by 3 publications

References 47 publications

Geometric relative entropies and barycentric Rényi divergences

Geometric relative entropies and barycentric Rényi divergences

Quantum state exclusion through offset measurement

Operational interpretation of the Choi rank through exclusion tasks

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