dorsal/arxiv
View SchemaOn Quantum Fidelities and Channel Capacities
| Authors | H. Barnum, E. Knill, M. A. Nielsen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9809010 |
| URL | https://arxiv.org/abs/quant-ph/9809010 |
| DOI | 10.1109/18.850671 |
| Journal | IEEE Trans.Info.Theor. 46 (2000) 1317-1329 |
Abstract
We show the equivalence of two different notions of quantum channel capacity: that which uses the entanglement fidelity as its criterion of success in transmission, and that which uses the minimum fidelity of pure states in a subspace of the input Hilbert space as its criterion. As a corollary, any source with entropy rate less than the capacity may be transmitted with high entanglement fidelity. We also show that a restricted class of encodings is sufficient to transmit any quantum source which may be transmitted on a given channel. This enables us to simplify a known upper bound for the channel capacity. It also enables us to show that the availability of an auxiliary classical channel from encoder to decoder does not increase the quantum capacity.
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"abstract": "We show the equivalence of two different notions of quantum channel capacity:\nthat which uses the entanglement fidelity as its criterion of success in\ntransmission, and that which uses the minimum fidelity of pure states in a\nsubspace of the input Hilbert space as its criterion. As a corollary, any\nsource with entropy rate less than the capacity may be transmitted with high\nentanglement fidelity. We also show that a restricted class of encodings is\nsufficient to transmit any quantum source which may be transmitted on a given\nchannel. This enables us to simplify a known upper bound for the channel\ncapacity. It also enables us to show that the availability of an auxiliary\nclassical channel from encoder to decoder does not increase the quantum\ncapacity.",
"arxiv_id": "quant-ph/9809010",
"authors": [
"H. Barnum",
"E. Knill",
"M. A. Nielsen"
],
"categories": [
"quant-ph"
],
"doi": "10.1109/18.850671",
"journal_ref": "IEEE Trans.Info.Theor. 46 (2000) 1317-1329",
"title": "On Quantum Fidelities and Channel Capacities",
"url": "https://arxiv.org/abs/quant-ph/9809010"
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