|
| related topics |
| {time, decoherence, evolution} |
| {operator, operators, space} |
| {equation, function, exp} |
| {states, state, optimal} |
| {qubit, qubits, gate} |
| {information, entropy, channel} |
| {error, code, errors} |
| {temperature, thermal, energy} |
|
Self-consistent non-Markovian theory of a quantum state evolution for
quantum information processing
Doyeol Ahn, Jinhyoung Lee, S. W. Hwang
abstract: It is shown that the operator sum representation for non-Markovian dynamics
and the Lindblad master equation in Markovian limit can be derived from a
formal solution to quantum Liouville equation for a qubit system in the
presence of decoherence processes self-consistently. Our formulation is the
first principle theory based on projection-operator formalism to obtain an
exact reduced density operator in time-convolutionless form starting from the
quantum Liouville equation for a noisy quantum computer. The advantage of our
approach is that it is general enough to describe a realistic quantum computer
in the presence of decoherence provided details of the Hamiltonians are known.
- oai_identifier:
- oai:arXiv.org:quant-ph/0105065
- categories:
- quant-ph
- comments:
- 5pages
- doi:
- 10.1103/PhysRevA.66.012302
- arxiv_id:
- quant-ph/0105065
- created:
- 2001-05-15
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