Self-consistent non-Markovian theory of a quantum-state evolution for quantum-information processing
Abstract
We study non-Markovian decoherence phenomena by employing projection-operator formalism when a quantum system (a quantum bit or a register of quantum bits) is coupled to a reservoir. By projecting out the degree of freedom of the reservoir, we derive a non-Markovian master equation for the system, which is reduced to a Lindblad master equation in Markovian limit, and obtain the operator sum representation for the time evolution. It is found that the system is decohered slower in the non-Markovian reservoir than the Markovian because the quantum information of the system is memorized in the non-Markovian reservoir. We discuss the potential importance of non-Markovian reservoirs for quantum-information processing.
- Publication:
-
Physical Review A
- Pub Date:
- July 2002
- DOI:
- 10.1103/PhysRevA.66.012302
- arXiv:
- arXiv:quant-ph/0105065
- Bibcode:
- 2002PhRvA..66a2302A
- Keywords:
-
- 03.67.-a;
- 89.70.+c;
- Quantum information;
- Information theory and communication theory;
- Quantum Physics
- E-Print:
- 5pages