144 citations · 1.1k across the 84 of their papers we have counts for
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Semiclassical properties and chaos degree for the quantum baker's map
K. Inoue, M. Ohya, I. V. Volovich
We study the chaotic behaviour and the quantum-classical correspondence for the baker's map. Correspondence between quantum and classical expectation values is investigated and it…
Quantum Computing and Shor`s Factoring Algorithm
Igor V. Volovich
Lectures on quantum computing. Contents: Algorithms. Quantum circuits. Quantum Fourier transform. Elements of number theory. Modular exponentiation. Shor`s algorithm for finding th…
On Classical and Quantum Cryptography
I. V. Volovich, Ya. I. Volovich
Lectures on classical and quantum cryptography. Contents: Private key cryptosystems. Elements of number theory. Public key cryptography and RSA cryptosystem. Shannon`s entropy and…
On Quantum - Classical Correspondence for Baker's Map
K. Inoue, M. Ohya, I. V. Volovich
Quantum baker`s map is a model of chaotic system. We study quantum dynamics for the quantum baker's map. We use the Schack and Caves symbolic description of the quantum baker`s map…
Quantum Information in Space and Time
Igor V. Volovich
Many important results in modern quantum information theory have been obtained for an idealized situation when the spacetime dependence of quantum phenomena is neglected. However t…
p-Adic and Adelic Minisuperspace Quantum Cosmology
G. S. Djordjevic, B. Dragovich, Lj. D. Nesic +1
We consider the formulation and some elaboration of p-adic and adelic quantum cosmology. The adelic generalization of the Hartle-Hawking proposal does not work in models with matte…