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• W2155758105 abstract "In analogy with its classical counterpart, a noisy quantum channel is characterized by a loss, a quantity that depends on the channel input and the quantum operation performed by the channel. The loss reflects the transmission quality: if the loss is zero, quantum information can be perfectly transmitted at a rate measured by the quantum source entropy. By using block coding based on sequences of n entangled symbols, the average loss (defined as the overall loss of the joint n-symbol channel divided by n, when n tends to infinity) can be made lower than the loss for a single use of the channel. In this context, we examine several upper bounds on the rate at which quantum information can be transmitted reliably via a noisy channel, that is, with an asymptotically vanishing average loss while the one-symbol loss of the channel is non-zero. These bounds on the channel capacity rely on the entropic Singleton bound on quantum error-correcting codes [Phys. Rev. A 56, 1721 (1997)]. Finally, we analyze the Singleton bounds when the noisy quantum channel is supplemented with a classical auxiliary channel." @default.
• W2155758105 created "2016-06-24" @default.
• W2155758105 creator A5069751126 @default.
• W2155758105 date "1998-05-01" @default.
• W2155758105 modified "2023-10-18" @default.
• W2155758105 title "Entropic bounds on coding for noisy quantum channels" @default.
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• W2155758105 doi "https://doi.org/10.1103/physreva.57.3330" @default.
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