Classical capacity of a noiseless quantum channel assisted by noisy entanglement

Authors:
Michał Horodecki;Paweł Horodecki;Ryszard Horodecki;Debbie W. Leung;Barbara M. Terhal
Affiliations:
Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Gdańsk, Poland;Faculty of Applied Physics and Mathematics, Technical University of Gdańsk, Gdańsk, Poland;Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Gdańsk, Poland;IBM T.J. Watson Research Center, Yorktown Heights, New York;IBM T.J. Watson Research Center, Yorktown Heights, New York
Venue:
Quantum Information & Computation
Year:
2001

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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.