Maximum privacy without coherence, zero-error
Authors:
- 1 September 2016
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 57 (9) , 092202
Abstract
We study the possible difference between the quantum and the private capacities of a quantum channel in the zero-error setting. For a family of channels introduced by Leung et al. [Phys. Rev. Lett. 113, 030512 (2014)], we demonstrate an extreme difference: the zero-error quantum capacity is zero, whereas the zero-error private capacity is maximum given the quantum output dimension.Keywords
All Related Versions
Funding Information
- Canadian Institute for Advanced Research
- Natural Sciences and Engineering Research Council of Canada
This publication has 16 references indexed in Scilit:
- On Superactivation of Zero-Error Capacities and Reversibility of a Quantum ChannelCommunications in Mathematical Physics, 2015
- Maximal Privacy without CoherencePhysical Review Letters, 2014
- On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurementsProblems of Information Transmission, 2014
- Exact and approximate unitary 2-designs and their application to fidelity estimationPhysical Review A, 2009
- Secure Key from Bound EntanglementPhysical Review Letters, 2005
- QUANTUM ZERO-ERROR CAPACITYInternational Journal of Quantum Information, 2005
- The Private Classical Capacity and Quantum Capacity of a Quantum ChannelIEEE Transactions on Information Theory, 2005
- The Shannon Capacity of a UnionCombinatorica, 1998
- On the Shannon capacity of a graphIEEE Transactions on Information Theory, 1979
- The zero error capacity of a noisy channelIEEE Transactions on Information Theory, 1956