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Classical capacity of quantum channels, coherent quantum information and quantum privacy

B. Schjumacher, Michael D. Westmorland

We derive a relation between a quantum channel's capacity to convey classical information and its ability to convey quantum information. This relation is applied to the analysis of the privacy of a quantum channel.

IEEE International Symposium on Information Theory (ISIT)Nov 27, 20020 citations

Coherent Information and Quantum Cryptography

Michael D. Westmoreland, Benjamin W. Schumacher

APSOct 1, 19970 citations

Capacities of Quantum Channels and Quantum Coherent Information

Michael D. Westmoreland, Benjamin W. Schumacher

Lecture notes in computer scienceJan 1, 19993 citations

The Private Classical Capacity and Quantum Capacity of a Quantum Channel

Igor Devetak

A formula for the capacity of a quantum channel for transmitting private classical information is derived. This is shown to be equal to the capacity of the channel for generating a secret key, and neither capacity is enhanced by forward public classical communication. Motivated by the work of Schumacher and Westmoreland on quantum privacy and quantum coherence, parallels between private classical information and quantum information are exploited to obtain an expression for the capacity of a quantum channel for generating pure bipartite entanglement. The latter implies a new proof of the quantum channel coding theorem and a simple proof of the converse. The coherent information plays a role in all of the above mentioned capacitiesA formula for the capacity of a quantum channel for transmitting private classical information is derived. This is shown to be equal to the capacity of the channel for generating a secret key, and neither capacity is enhanced by forward public classical communication. Motivated by the work of Schumacher and Westmoreland on quantum privacy and quantum coherence, parallels between private classical information and quantum information are exploited to obtain an expression for the capacity of a quantum channel for generating pure bipartite entanglement. The latter implies a new proof of the quantum channel coding theorem and a simple proof of the converse. The coherent information plays a role in all of the above mentioned capacities

arXiv:quant-ph/0304127IEEE Transactions on Information TheoryJan 1, 2005817 citations

Unconditional Privacy over Channels which Cannot Convey Quantum Information

Karol Horodecki, Michał Horodecki, Paweł Horodecki +2 more

Quantum cryptography enables one to verify that the state of the quantum system has not been tampered with and thus one can obtain privacy regardless of the power of the eavesdropper. All previous protocols relied on the ability to faithfully send quantum states or equivalently to share pure entanglement. Here we show this need not be the case-one can obtain verifiable privacy even through some channels which cannot be used to reliably send quantum states.

arXiv:quant-ph/0702077Physical Review LettersMar 17, 200831 citations

Decoherence can help quantum cryptographic security

Vishal Sharma, Shrikant Utagi, R. Srikanth +1 more

arXiv:1712.06519Quantum Information ProcessingJul 9, 201823 citations

Quantum Privacy and Quantum Coherence

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Quantum Privacy and Quantum Coherence

Abstract

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