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quant-phJun 14, 2007
19
citations (OpenAlex)
authors
  • Vasily E. Tarasov
institutions
  • Lomonosov Moscow State University
  • Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
arXiv abstractPDF
paper

Path Integral for Quantum Operations

arXiv:0706.2142 · doi:10.1088/0305-4470/37/9/013

Abstract

In this paper we consider a phase space path integral for general time-dependent quantum operations, not necessarily unitary. We obtain the path integral for a completely positive quantum operation satisfied Lindblad equation (quantum Markovian master equation). We consider the path integral for quantum operation with a simple infinitesimal generator.

24 pages, LaTeX

References in corpus (5)

  • Quantum Computer with Mixed States and Four-Valued Logic
  • Pure Stationary States of Open Quantum Systems
  • Stationary States of Dissipative Quantum Systems
  • Bosonic String in Affine-Metric Curved Space
  • Classical Canonical Distribution for Dissipative Systems

Cited by in corpus (8)

  • Trends, Directions for Further Research, and Some Open Problems of Fractional Calculus
  • Fractional Generalization of Gradient and Hamiltonian Systems
  • Fractional Heisenberg Equation
  • Fractional Derivative as Fractional Power of Derivative
  • Transport Equations from Liouville Equations for Fractional Systems
  • Dirac Particle with Memory: Proper Time Non-Locality
  • On the Study of Chaos and Memory Effects in the Bonhoeffer-van der Pol Oscillator with a Non-Ideal Capacitor
  • Fractional Generalization of Quantum Markovian Master Equation
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