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- Alexander S. Holevo
- IEEE Trans. Information Theory
- 1998

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. This completesâ€¦ (More)

- Alexander S. Holevo
- Quantum Information Processing
- 2007

Quantum information theory, the emergence of which traces back to the second half of the past century, is reaching the age of maturity. The past decade was marked with outstanding theoreticalâ€¦ (More)

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 classicalâ€¦ (More)

- Alexander S. Holevo
- IEEE Trans. Information Theory
- 2000

â€“ In information theory the reliability function and its bounds, describing the exponential behavior of the error probability, are important quantitative characteristics of the channel performance.â€¦ (More)

Let H be a Hilbert space. We consider quantum channel [6] with a finite input alphabet {1, ..., d} and with pure signal states Si = |Ïˆi >< Ïˆi|; i = 1, ..., d. We assume that the vectors Ïˆi; i = 1,â€¦ (More)

- Alexander S. Holevo, Steklov
- 1999

â€“ The more than thirty years old issue of the (classical) information capacity of quantum communication channels was dramatically clarified during the last years, when a number of direct quantumâ€¦ (More)

Quantum information theory [2] is not merely a theoretical basis for physics of information and computation. It is also a source of challenging mathematical problems, often having elementaryâ€¦ (More)

- Andrea Mari, Vittorio Giovannetti, Alexander S. Holevo
- Nature communications
- 2014

Quantum communication theory explores the implications of quantum mechanics to the tasks of information transmission. Many physical channels can be formally described as quantum Gaussian operationsâ€¦ (More)

A survey of probabilistic approaches to quantum dynamical semigroups with unbounded generators is given. An emphasis is made upon recent advances in the structural theory of covariant Markovianâ€¦ (More)

Several equivalent formulations of the additivity conjecture for constrained channels, which formally is substantially stronger than the unconstrained additivity, are given. To this end aâ€¦ (More)