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Quantum finite-depth memory channels: Case study

Source: Phys. Rev. A 80, 042306 (2009); doi:10.1103/PhysRevA.80.042306

Published 7 October 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.67.Hk
    Quantum communication
  • 03.65.Ta
    Foundations of quantum mechanics; measurement theory
  • 03.65.Yz
    Decoherence; open systems; quantum statistical methods
  • YEAR: 2009
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PUBLICATION DATA
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Tomáš Rybár1 and Mário Ziman1,2
1Research Center for Quantum Information, Institute of Physics, Slovak Academy of Sciences, Dúbravská Cesta 9, 845 11 Bratislava, Slovakia
2Faculty of Informatics, Masaryk University, Botanická 68a, 602 00 Brno, Czech Republic
We analyze the depth of the memory of quantum memory channels generated by a fixed unitary transformation describing the interaction between the principal system and internal degrees of freedom of the process device. We investigate the simplest case of a qubit memory channel with a two-level memory system. In particular, we explicitly characterize all interactions for which the memory depth is finite. We show that the memory effects are either infinite, or they disappear after at most two uses of the channel. Memory channels of finite depth can be to some extent controlled and manipulated by so-called reset sequences. We show that actions separated by the sequences of inputs of the length of the memory depth are independent and constitute memoryless channels. ©2009 The American Physical Society
History: Received 31 July 2009; published 7 October 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e042306

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