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J. Math. Phys., 2013, Volume 54, Issue 11, 112201, 19 pages (Mi jmp7)  

Reversibility of a quantum channel: General conditions and their applications to Bosonic linear channels

M. E. Shirokov

Steklov Mathematical Institute, Moscow, Russia

Abstract: The method of complementary channel for analysis of reversibility (sufficiency) of a quantum channel with respect to families of input states (pure states for the most part) are considered and applied to Bosonic linear (quasi-free) channels, in particular, to Bosonic Gaussian channels. The obtained reversibility conditions for Bosonic linear channels have clear physical interpretation and their sufficiency is also shown by explicit construction of reversing channels. The method of complementary channel gives possibility to prove necessity of these conditions and to describe all reversed families of pure states in the Schrodinger representation. Some applications in quantum information theory are considered. Conditions for existence of discrete classical-quantum subchannels and of completely depolarizing subchannels of a Bosonic linear channel are presented.

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 12-01-00319-a
13-01-00295-a
The work is in part supported by the RAS fundamental research programs and by RFBR Grant Nos. 12-01-00319a and 13-01-00295a.


DOI: https://doi.org/10.1063/1.4827436


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Accepted:01.10.2013
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