Phys. Rev. A 80, 042328 (2009) [6 pages]Forgetfulness of continuous Markovian quantum channelsReceived 8 July 2009; published 27 October 2009 The notion of forgetfulness, used in discrete quantum memory channels, is slightly weakened in order to be applied to the case of continuous channels. This is done in the context of quantum memory channels with Markovian noise. As a case study, we apply the notion of weak forgetfulness to a bosonic memory channel with additive noise. A suitable encoding and decoding unitary transformation allows us to unravel the effects of the memory, hence the channel capacities can be computed using known results from the memoryless setting. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.042328
DOI:
10.1103/PhysRevA.80.042328
PACS:
03.67.Hk, 05.40.Ca, 42.50.−p, 89.70.−a
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