Forgetfulness of continuous Markovian quantum channels

Details Forgetfulness of continuous Markovian quantum channels Forgetfulness of continuous Markovian quantum channels

2009-07-09

arxiv.org/abs/0907.1544v3

Phys. Rev. A 80, 042328 (2009)

Physics

Quantum Physics

6 pages, 2 figures, comments are welcome. Minor corrections and acknoledgment added

Scientific paper

10.1103/PhysRevA.80.042328

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.

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