Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions |
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Authors: | A S Holevo |
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Institution: | 1.Steklov Mathematical Institute,RAS,Moscow,Russia |
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Abstract: | We consider the entropy gain for infinite-dimensional evolutions and show that unlike in the finitedimensional case, there
are many channels with positive minimal entropy gain. We obtain a new lower bound and compute the minimal entropy gain for
a broad class of bosonic Gaussian channels. We mathematically formulate the Choi-Jamiolkowski (CJ) correspondence between channels and states in the infinite-dimensional case in a form close to the form used in quantum
information theory. In particular, we obtain an explicit expression for the CJ operator defining a general nondegenerate bosonic
Gaussian channel and compute its norm. |
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Keywords: | |
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