Completely positive post-Markovian master equation via a measurement approach
2005; American Physical Society; Volume: 71; Issue: 2 Linguagem: Inglês
10.1103/physreva.71.020101
ISSN1538-4446
AutoresAlireza Shabani, Daniel A. Lidar,
Tópico(s)Quantum Computing Algorithms and Architecture
ResumoA post-Markovian quantum master equation is derived, which includes bath memory effects via a phenomenologically introduced memory kernel $k(t)$. The derivation uses as a formal tool a probabilistic single-shot bath-measurement process performed during the coupled system-bath evolution. The resulting analytically solvable master equation interpolates between the exact Nakajima-Zwanzig equation and the Markovian Lindblad equation. A necessary and sufficient condition for complete positivity in terms of properties of $k(t)$ is presented, in addition to a prescription for the experimental determination of $k(t)$. The formalism is illustrated with examples.
Referência(s)