A. Holevo

Publications162
h-index37
Citations8,109
Highly Influential Citations495
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Probabilistic and Statistical Aspects of Quantum Theory
Foreword to 2nd English edition.- Foreword to 2nd Russian edition.- Preface.- Chapters: I. Statistical Models.- II. Mathematics of Quantum Theory.- III. Symmetry Groups in Quantum Mechanics.- IV.… Expand
  • 1,930
  • 154
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The Capacity of the Quantum Channel with General Signal States
  • A. Holevo
  • Physics, Computer Science
  • IEEE Trans. Inf. Theory
  • 14 November 1996
TLDR
It is shown that the capacity of a classical-quantum channel with arbitrary (possibly mixed) states equals the maximum of the entropy bound with respect to all a priori distributions. Expand
  • 878
  • 43
  • PDF
Statistical structure of quantum theory
The course presents some basic concepts and rigorous results of a new scientiflc discipline { quantum information theory. It starts with a thorough reconsideration of the mathematical foundations of… Expand
  • 509
  • 33
Bounds for the quantity of information transmitted by a quantum communication channel
  • 436
  • 30
  • PDF
Quantum Systems, Channels, Information: A Mathematical Introduction
TLDR
This book gives an accessible, albeit mathematically rigorous and self-contained introduction to quantum information theory, starting from primary structures and leading to fundamental results and exiting open problems. Expand
  • 179
  • 22
Statistical decision theory for quantum systems
Quantum statistical decision theory arises in connection with applied problems of optimal detection and processing of quantum signals. In this paper we give a systematic treatment of this theory,… Expand
  • 360
  • 21
  • PDF
Evaluating capacities of bosonic Gaussian channels
We show how to compute or at least to estimate various capacity-related quantities for bosonic Gaussian channels. Among these are the coherent information, the entanglement-assisted classical… Expand
  • 355
  • 19
  • PDF
Counterexample to an additivity conjecture for output purity of quantum channels
A conjecture arising naturally in the investigation of additivity of classical information capacity of quantum channels states that the maximal purity of outputs from a quantum channel, as measured… Expand
  • 157
  • 14
  • PDF
On Reliability Function of Quantum Communication Channel
The reliability function gives the rate of exponential convergence to zero of the error probability in a communication channel. In this paper bounds for the reliability function of a quantum pure… Expand
  • 61
  • 10
Ultimate classical communication rates of quantum optical channels
The Gaussian minimum entropy conjecture—a long-standing open question—has now been proved for single-mode phase-insensitive bosonic Gaussian channels. This establishes the ultimate achievable bit… Expand
  • 121
  • 9
  • PDF