35,443 research outputs found

    Additive Extensions of a Quantum Channel

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    We study extensions of a quantum channel whose one-way capacities are described by a single-letter formula. This provides a simple technique for generating powerful upper bounds on the capacities of a general quantum channel. We apply this technique to two qubit channels of particular interest--the depolarizing channel and the channel with independent phase and amplitude noise. Our study of the latter demonstrates that the key rate of BB84 with one-way post-processing and quantum bit error rate q cannot exceed H(1/2-2q(1-q)) - H(2q(1-q)).Comment: 6 pages, one figur

    Electronic Books for Evangelical Libraries A Progress Report

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    In recent years, members of the Association of Christian Librarians (ACL) have clearly stated their interest in seeing publishers – especially those with evangelical affiliation – offer electronic book products in formats that are friendly to libraries. This subject has generated conversation at our business meetings and on our listserv. In the summer of 2006, some 100 members of ACL’s Christian Library Consortium purchased a collection of 400 religion-oriented electronic books from NetLibrary®. At the 2007 conference, which convened in Grand Rapids, Michigan, representatives of four local Christian publishers participated in a panel discussion that was dominated by the subject of electronic distribution

    Classical signature of quantum annealing

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    A pair of recent articles concluded that the D-Wave One machine actually operates in the quantum regime, rather than performing some classical evolution. Here we give a classical model that leads to the same behaviors used in those works to infer quantum effects. Thus, the evidence presented does not demonstrate the presence of quantum effects.Comment: 8 pages, 3 pdf figure

    1951 survey of consumer finances: part IV. distribution of consumer saving in 1950

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    Consumer surveys ; Consumer behavior ; Consumer credit

    The quantum capacity with symmetric side channels

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    We present an upper bound for the quantum channel capacity that is both additive and convex. Our bound can be interpreted as the capacity of a channel for high-fidelity quantum communication when assisted by a family of channels that have no capacity on their own. This family of assistance channels, which we call symmetric side channels, consists of all channels mapping symmetrically to their output and environment. The bound seems to be quite tight, and for degradable quantum channels it coincides with the unassisted channel capacity. Using this symmetric side channel capacity, we find new upper bounds on the capacity of the depolarizing channel. We also briefly indicate an analogous notion for distilling entanglement using the same class of (one-way) channels, yielding one of the few entanglement measures that is monotonic under local operations with one-way classical communication (1-LOCC), but not under the more general class of local operations with classical communication (LOCC).Comment: 10 pages, 4 figure

    A simple family of nonadditive quantum codes

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    Most known quantum codes are additive, meaning the codespace can be described as the simultaneous eigenspace of an abelian subgroup of the Pauli group. While in some scenarios such codes are strictly suboptimal, very little is understood about how to construct nonadditive codes with good performance. Here we present a family of nonadditive quantum codes for all odd blocklengths, n, that has a particularly simple form. Our codes correct single qubit erasures while encoding a higher dimensional space than is possible with an additive code or, for n of 11 or greater, any previous codes.Comment: 3 pages, new version with slight clarifications, no results are change
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