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pro vyhledávání: '"Volovich, Igor V."'
Autor:
Volovich, Igor V.
It is noted that the Schrodinger equation with any self-adjoint Hamiltonian is unitary equivalent to a set of non-interacting classical harmonic oscillators and in this sense any quantum dynamics is completely integrable. Higher order integrals of mo
Externí odkaz:
http://arxiv.org/abs/1911.01335
Autor:
Aref'eva, Irina Ya., Volovich, Igor V.
The OPERA collaboration has claimed the discovery of supeluminal neutrino propagation. However the superluminal interpretation of the OPERA result was refuted by Cohen and Glashow because it was shown that such superluminal neutrinos would lose energ
Externí odkaz:
http://arxiv.org/abs/1110.0456
Autor:
Volovich, Igor V.
We discuss some mathematical aspects of photon antibunching and sub-Poisson photon statistics. It is known that Bell's inequalities for entangled states can be reduced to the Cauchy-Bunyakovsky inequalities. In this note some rigorous results on impo
Externí odkaz:
http://arxiv.org/abs/1106.1892
Autor:
Volovich, Igor V.
The Copenhagen interpretation of quantum mechanics assumes the existence of the classical deterministic Newtonian world. We argue that in fact the Newton determinism in classical world does not hold and in classical mechanics there is fundamental and
Externí odkaz:
http://arxiv.org/abs/0910.5391
Autor:
Volovich, Igor V.
The time irreversibility problem is the dichotomy of the reversible microscopic dynamics and the irreversible macroscopic physics. This problem was considered by Boltzmann, Poincar\'e, Bogolyubov and many other authors and though some researchers cla
Externí odkaz:
http://arxiv.org/abs/0907.2445
Autor:
Ohya, Masanori, Volovich, Igor V.
Publikováno v:
Infinite Dimensional Analysis and Quantum Probability, Vol. 6,No.2 301-310, 2003
The quantum capacity of a pure quantum channel and that of classical-quantum-classical channel are discussed in detail based on the fully quantum mechanical mutual entropy. It is proved that the quantum capacity generalizes the so-called Holevo bound
Externí odkaz:
http://arxiv.org/abs/quant-ph/0406215
Autor:
Ohya, Masanori, Volovich, Igor V.
Publikováno v:
Rep.Math.Phys.,52, No.1,25-33, 2003
Ordinary approach to quantum algorithm is based on quantum Turing machine or quantum circuits. It is known that this approach is not powerful enough to solve NP-complete problems. In this paper we study a new approach to quantum algorithm which is a
Externí odkaz:
http://arxiv.org/abs/quant-ph/0406216
Autor:
Volovich, Igor V.
The list of basic axioms of quantum mechanics as it was formulated by von Neumann includes only the mathematical formalism of the Hilbert space and its statistical interpretation. We point out that such an approach is too general to be considered as
Externí odkaz:
http://arxiv.org/abs/quant-ph/0212126
Autor:
Volovich, Igor V.
In modern quantum information theory one deals with an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a physical process in spacetime. Therefore
Externí odkaz:
http://arxiv.org/abs/quant-ph/0207050
Autor:
Volovich, Igor V.
Modern quantum information theory deals with an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a physical process in spacetime. Therefore such b
Externí odkaz:
http://arxiv.org/abs/quant-ph/0203030