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19962026
most citedCoding Theorems for Quantum Channels

230 citations · 2.4k across the 68 of their papers we have counts for

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5 papers · 1 filter

quant-ph2010★ 31 cited

The optimal unitary dilation for bosonic Gaussian channels

Filippo Caruso, Jens Eisert, Vittorio Giovannetti +1

A generic quantum channel can be represented in terms of a unitary interaction between the information-carrying system and a noisy environment. Here, the minimal number of quantum…

quant-ph2010★ 36 cited

Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results

V. Giovannetti, A. S. Holevo, S. Lloyd +1

A formulation of the generalized minimal output entropy conjecture for Gaussian channels is presented. It asserts that, for states with fixed input entropy, the minimal value of th…

math-ph2010★ 1 cited

Mutual and coherent informations for infinite-dimensional quantum channels

A. S. Holevo, M. E. Shirokov

The work is devoted to study of quantum mutual information and coherent information -- the two important characteristics of quantum communication channel. Appropriate definitions o…

math-ph2010★ 43 cited

On the Choi-Jamiolkowski Correspondence in Infinite Dimensions

A. S. Holevo

We give a mathematical formulation for the Choi-Jamiolkowski (CJ) correspondence in the infinite-dimensional case in the form close to one used in quantum information theory. We sh…

math-ph2010★ 34 cited

The entropy gain of infinite-dimensional quantum channels

A. S. Holevo

In the present paper we study the entropy gain for infinite-dimensional channels . We show that unlike finite-dimensional case where the minimal entropy gain is a…