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Publications Influence

Probabilistic and Statistical Aspects of Quantum Theory

- A. Holevo, L. Ballentine
- Mathematics
- 1982

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- PDF

The Capacity of the Quantum Channel with General Signal States

- A. Holevo
- Physics, Computer Science
- IEEE Trans. Inf. Theory
- 14 November 1996

TLDR

878 43- PDF

Statistical structure of quantum theory

- A. Holevo
- Mathematics
- 2001

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

- A. Holevo
- Mathematics
- 1973

436 30- PDF

Quantum Systems, Channels, Information: A Mathematical Introduction

- A. Holevo
- Computer Science
- 8 July 2019

TLDR

179 22

Statistical decision theory for quantum systems

- A. Holevo
- Mathematics
- 1 December 1973

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

- M. Burnashev, A. Holevo
- Mathematics
- 8 March 1997

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

- V. Giovannetti, R. García-Patrón, N. Cerf, A. Holevo
- Physics
- 1 October 2014

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