18 citations · 43 across the 14 of their papers we have counts for
14 papers
Kramers-Moyall cumulant expansion for the probability distribution of parallel transporters in quantum gauge fields
P. V. Buividovich, V. I. Kuvshinov
A general equation for the probability distribution of parallel transporters on the gauge group manifold is derived using the cumulant expansion theorem. This equation is shown to…
Asymptotic behavior of Wilson loops from Schroedinger equation on the gauge group
P. V. Buividovich, V. I. Kuvshinov
Probability distribution of non-Abelian parallel transporters on the group manifold and the corresponding amplitude are investigated for quantum Yang-Mills fields. It is shown that…
Fidelity of holonomic quantum computations in the case of random errors in the values of control parameters
P. V. Buividovich, V. I. Kuvshinov
We investigate the influence of random errors in external control parameters on the stability of holonomic quantum computation in the case of arbitrary loops and adiabatic connecti…
Mixed colour states in QCD confining vacuum
P. V. Buividovich, V. I. Kuvshinov
We show that confinement of spinless heavy quarks in fundamental representation of gauge group can be treated as decoherence of pure colour state into a white mixture o…
Fidelity and Wilson loop for quarks in confinement region
V. I. Kuvshinov, P. V. Buividovich
Connection between the stability of quantum motion in random fields and quark confinement in QCD is investigated. The analogy between the fidelity and the Wilson loop is conjecture…
Fidelity, quantum computations and Wilson loop
V. I. Kuvshinov, P. V. Buividovich
General properties of quantum systems which interact with stochastic environment are studied with a strong emphasis on the role of physical symmetries. The similarity between the f…