|
| related topics |
| {time, decoherence, evolution} |
| {equation, function, exp} |
| {let, theorem, proof} |
| {phase, path, phys} |
| {cos, sin, state} |
| {states, state, optimal} |
| {state, algorithm, problem} |
| {operator, operators, space} |
| {error, code, errors} |
| {time, wave, function} |
| {qubit, qubits, gate} |
| {vol, operators, histories} |
|
Adiabatic Approximation for weakly open systems
Patrik Thunström, Johan Åberg, Erik Sjöqvist
abstract: We generalize the adiabatic approximation to the case of open quantum
systems, in the joint limit of slow change and weak open system disturbances.
We show that the approximation is ``physically reasonable'' as under wide
conditions it leads to a completely positive evolution, if the original master
equation can be written on a time-dependent Lindblad form. We demonstrate the
approximation for a non-Abelian holonomic implementation of the Hadamard gate,
disturbed by a decoherence process. We compare the resulting approximate
evolution with numerical simulations of the exact equation.
- oai_identifier:
- oai:arXiv.org:quant-ph/0504046
- categories:
- quant-ph
- comments:
- New material added, references added and updated, journal reference
added
- doi:
- 10.1103/PhysRevA.72.022328
- arxiv_id:
- quant-ph/0504046
- journal_ref:
- Phys. Rev. A 72, 022328 (2005)
- created:
- 2005-04-07
- updated:
- 2005-08-23
Full article ▸
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