Capacity of quantum channels using product measurements
- 1 January 2001
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 42 (1) , 87-98
- https://doi.org/10.1063/1.1327598
Abstract
The capacity of a quantum channel for transmission of classical information depends in principle on whether product states or entangled states are used at the input, and whether product or entangled measurements are used at the output. We show that when product measurements are used, the capacity of the channel is achieved with product input states, so that entangled inputs do not increase capacity. We show that this result continues to hold if sequential measurements are allowed, whereby the choice of successive measurements may depend on the results of previous measurements. We also present a new simplified expression which gives an upper bound for the Shannon capacity of a channel, and which bears a striking resemblance to the well-known Holevo bound. (C) 2001 American Institute of Physics.All Related Versions
This publication has 13 references indexed in Scilit:
- Entanglement-Assisted Classical Capacity of Noisy Quantum ChannelsPhysical Review Letters, 1999
- Quantum information theoryIEEE Transactions on Information Theory, 1998
- The capacity of the quantum channel with general signal statesIEEE Transactions on Information Theory, 1998
- Nonorthogonal Quantum States Maximize Classical Information CapacityPhysical Review Letters, 1997
- Sending classical information via noisy quantum channelsPhysical Review A, 1997
- Classical information capacity of a quantum channelPhysical Review A, 1996
- Limitation on the Amount of Accessible Information in a Quantum ChannelPhysical Review Letters, 1996
- Ultimate information carrying limit of quantum systemsPhysical Review Letters, 1993
- General properties of entropyReviews of Modern Physics, 1978
- A Fundamental Property of Quantum-Mechanical EntropyPhysical Review Letters, 1973