Classical capacity of a noiseless quantum channel assisted by noisy entanglement

Michal Horodecki; Pawel Horodecki; Ryszard Horodecki; Debbie W. Leung; Barbara M. Terhal

Classical capacity of a noiseless quantum channel assisted by noisy entanglement

Michal Horodecki^*, Pawel Horodecki, Ryszard Horodecki, Debbie W. Leung, Barbara M. Terhal

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

63 Citations (Scopus)

Abstract

We derive the general formula for the capacity of a noiseless quantum channel assisted by an arbitrary amount of noisy entanglement. In this capacity formula, the ratio of the quantum mutual information and the von Neumann entropy of the sender's share of the noisy entanglement plays the role of mutual information in the completely classical case. A consequence of our results is that bound entangled states cannot increase the capacity of a noiseless quantum channel.

Original language	English
Pages (from-to)	70-78
Number of pages	9
Journal	Quantum Information and Computation
Volume	1
Issue number	3
Publication status	Published - 2001
Externally published	Yes

Keywords

Capacity of a quantum channel
Quantum entanglement
Superdense coding

Cite this

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title = "Classical capacity of a noiseless quantum channel assisted by noisy entanglement",

abstract = "We derive the general formula for the capacity of a noiseless quantum channel assisted by an arbitrary amount of noisy entanglement. In this capacity formula, the ratio of the quantum mutual information and the von Neumann entropy of the sender's share of the noisy entanglement plays the role of mutual information in the completely classical case. A consequence of our results is that bound entangled states cannot increase the capacity of a noiseless quantum channel.",

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AU - Horodecki, Michal

AU - Horodecki, Pawel

AU - Horodecki, Ryszard

AU - Leung, Debbie W.

AU - Terhal, Barbara M.

PY - 2001

Y1 - 2001

N2 - We derive the general formula for the capacity of a noiseless quantum channel assisted by an arbitrary amount of noisy entanglement. In this capacity formula, the ratio of the quantum mutual information and the von Neumann entropy of the sender's share of the noisy entanglement plays the role of mutual information in the completely classical case. A consequence of our results is that bound entangled states cannot increase the capacity of a noiseless quantum channel.

AB - We derive the general formula for the capacity of a noiseless quantum channel assisted by an arbitrary amount of noisy entanglement. In this capacity formula, the ratio of the quantum mutual information and the von Neumann entropy of the sender's share of the noisy entanglement plays the role of mutual information in the completely classical case. A consequence of our results is that bound entangled states cannot increase the capacity of a noiseless quantum channel.

KW - Capacity of a quantum channel

KW - Quantum entanglement

KW - Superdense coding

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M3 - Article

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SN - 1533-7146

VL - 1

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JO - Quantum Information and Computation

JF - Quantum Information and Computation

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ER -

Classical capacity of a noiseless quantum channel assisted by noisy entanglement

Abstract

Keywords

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