The capacity of the quantum channel with general signal states
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In this article, the capacity of a classical-quantum channel with arbitrary (possibly mixed) states was shown to be the maximum of the entropy bound with respect to all a priori distributions.Abstract:
It is shown that the capacity of a classical-quantum channel with arbitrary (possibly mixed) states equals the maximum of the entropy bound with respect to all a priori distributions. This completes the recent result of Hausladen, Jozsa, Schumacher, Westmoreland, and Wootters (1996), who proved the equality for the pure state channel.read more
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Quantum Information with Continuous Variables
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Gaussian quantum information
Christian Weedbrook,Stefano Pirandola,Raúl García-Patrón,Nicolas J. Cerf,Timothy C. Ralph,Jeffrey H. Shapiro,Seth Lloyd +6 more
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References
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Quantum detection and estimation theory
TL;DR: In this article, the optimum procedure for choosing between two hypotheses, and an approximate procedure valid at small signal-to-noise ratios and called threshold detection, are presented, and a quantum counterpart of the Cramer-Rao inequality of conventional statistics sets a lower bound to the mean-square errors of such estimates.
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Speakable and Unspeakable in Quatum Mechanics
J. S. Bell,N. David Mermin +1 more
TL;DR: Koestler's book The Sleepwalkers as discussed by the authors is an account of the Copernican revolution, with Copernicus, Kepler, and Galilei as heroes, and he concluded that they were not really aware of what they were doing.
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General properties of entropy
TL;DR: This paper discusses properties of entropy, as well as related concepts such as relative entropy, skew entropy, dynamical entropy, etc, in detail with reference to their implications in statistical mechanics, to get a glimpse of systems with infinitely many degrees of freedom.
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Sending classical information via noisy quantum channels
TL;DR: Previous results about the classical information capacity of a noiseless quantum-mechanical communication channel are extended to situations in which the final signal states are mixed states, that is, to channels with noise.
Journal ArticleDOI
Classical information capacity of a quantum channel
Paul Hausladen,Richard Jozsa,Benjamin Schumacher,Michael D. Westmoreland,William K. Wootters +4 more
TL;DR: If the sender uses a block coding scheme consisting of a choice of code words that respects the a priori probabilities of the letter states, and the receiver distinguishes whole words rather than individual letters, then the information transmitted can be made arbitrarily close to H and never exceeds H, providing a precise information-theoretic interpretation of von Neumann entropy in quantum mechanics.