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Quantum entanglement
, 2007
"... Contents All our former experience with application of quantum theory seems to say: what is predicted by quantum formalism must occur in laboratory. But the essence of quantum formalism — entanglement, recognized by Einstein, Podolsky, Rosen and Schrödinger — waited over 70 years to enter to laborat ..."
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Cited by 88 (1 self)
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Contents All our former experience with application of quantum theory seems to say: what is predicted by quantum formalism must occur in laboratory. But the essence of quantum formalism — entanglement, recognized by Einstein, Podolsky, Rosen and Schrödinger — waited over 70 years to enter to laboratories as a new resource as real as energy.
The capacity of a quantum channel for simultaneous transmission of classical and quantum information
, 2008
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Gaussian quantum channels
, 2005
"... This article provides an elementary introduction to Gaussian channels and their capacities. We review results on the classical, quantum, and entanglement assisted capacities and discuss related entropic quantities as well as additivity issues. Some of the known results are extended. In particular, i ..."
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Cited by 21 (7 self)
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This article provides an elementary introduction to Gaussian channels and their capacities. We review results on the classical, quantum, and entanglement assisted capacities and discuss related entropic quantities as well as additivity issues. Some of the known results are extended. In particular, it is shown that the quantum conditional entropy is maximized by Gaussian states and that some implications for additivity problems can be extended to the Gaussian setting.
The private classical information capacity and quantum information capacity of a quantum channel
, 2008
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Distilling common randomness from bipartite quantum states
, 2008
"... The problem of converting noisy quantum correlations between two parties into noiseless classical ones using a limited amount of oneway classical communication is addressed. A singleletter formula for the optimal tradeoff between the extracted common randomness and classical communication rate is ..."
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Cited by 18 (8 self)
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The problem of converting noisy quantum correlations between two parties into noiseless classical ones using a limited amount of oneway classical communication is addressed. A singleletter formula for the optimal tradeoff between the extracted common randomness and classical communication rate is obtained for the special case of classicalquantum correlations. The resulting curve is intimately related to the quantum compression with classical side information tradeoff curve Q ∗ (R) of Hayden, Jozsa and Winter. For a general initial state we obtain a similar result, with a singleletter formula, when we impose a tensor product restriction on the measurements performed by the sender; without this restriction the tradeoff is given by the regularization of this function. Of particular interest is a quantity we call “distillable common randomness ” of a state: the maximum overhead of the common randomness over the oneway classical communication if the latter is unbounded. It is an operational measure of (total) correlation in a quantum state. For classicalquantum correlations it is given by the Holevo mutual information of its associated ensemble, for pure states it is the entropy of entanglement. In general, it is given by an optimization problem over measurements and regularization; for the case of separable states we show that this can be singleletterized.
Classical data compression with quantum side information,” quantph/0209029
"... The problem of classical data compression when the decoder has quantum side information at his disposal is considered. This is a quantum generalization of the classical SlepianWolf theorem. The optimal compression rate is found to be reduced from the Shannon entropy of the source by the Holevo info ..."
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Cited by 18 (6 self)
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The problem of classical data compression when the decoder has quantum side information at his disposal is considered. This is a quantum generalization of the classical SlepianWolf theorem. The optimal compression rate is found to be reduced from the Shannon entropy of the source by the Holevo information between the source and side information. Generalizing classical information theory to the quantum setting has had varying success depending on the type of problem considered. Quantum problems hitherto solved (in the asymptotic sense of Shannon theory) may be divided into three classes. The first comprises pure bipartite entanglement manipulation, such as Schumacher compression [1] and entanglement concentration/dilution [2, 3, 4]. Their tractability is due to the formal similarities between a pair of perfectly correlated random variables and the Schmidt decomposition of bipartite quantum states. The second, and largest, is the class of “hybrid ” classicalquantum problems, where only a subset (usually of size one) of the terminals in the problem is quantum and the others are classical. The simplest example is the HolevoSchumacherWestmoreland (HSW) theorem [5], which deals with the capacity of a classical → quantum channel (abbreviated {c → q}; see [6]). This carries