36 citations · 63 across the 6 of their papers we have counts for
7 papers · 1 filter
Quantum Computing, NP-complete Problems and Chaotic Dynamics
Masanori Ohya, Igor V. Volovich
An approach to the solution of NP-complete problems based on quantum computing and chaotic dynamics is proposed. We consider the satisfiability problem and argue that the problem,…
Atomic Quantum Computer
I. V. Volovich
The current proposals for the realization of quantum computer such as NMR, quantum dots and trapped ions are based on the using of an atom or an ion as one qubit. In these proposal…
The Large Time Behaviour in Quantum Field Theory and Quantum Chaos
I. Ya. Aref'eva, I. V. Volovich
An exact general formula for the matrix elements of the evolution operator in quantum theory is established. The formul ("ABC-formula") has the form <U(t)>=exp(At+B+C(t)). The cons…
Knots, Feynman Diagrams and Matrix Models
Martin Grothaus, Ludwig Streit, Igor V. Volovich
An U(N)-invariant matrix model with d matrix variables is studied. It was shown that in the limit and the model describes the knot diagrams. We realize the…
Anti-Kaehlerian Manifolds
A. Borowiec, M. Francaviglia, I. Volovich
An anti-Kaehlerian manifold is a complex manifold with an anti-Hermitian metric and a parallel almost complex structure. It is shown that a metric on such a manifold must be the re…
Quantum Decoherence and Higher Order Corrections to the Large Time Exponential Behaviour
I. Ya. Aref'eva, I. V. Volovich
There exists the well known approximate expression describing the large time behaviour of matrix elements of the evolution operator in quantum theory: <U(t)>=exp(at)+... This expre…