|
| related topics |
| {group, space, representation} |
| {time, decoherence, evolution} |
| {qubit, qubits, gate} |
| {operator, operators, space} |
| {phase, path, phys} |
| {state, phys, rev} |
| {error, code, errors} |
| {spin, pulse, spins} |
| {measurement, state, measurements} |
| {state, algorithm, problem} |
| {state, states, entangled} |
|
Symmetrizing Evolutions
Paolo Zanardi
abstract: We introduce quantum procedures for making $\cal G$-invariant the dynamics of
an arbitrary quantum system S, where $\cal G$ is a finite group acting on the
space state of S. Several applications of this idea are discussed. In
particular when S is a N-qubit quantum computer interacting with its
environment and $\cal G$ the symmetric group of qubit permutations, the
resulting effective dynamics admits noiseless subspaces. Moreover it is shown
that the recently introduced iterated-pulses schemes for reducing decoherence
in quantum computers fit in this general framework. The noise-inducing
component of the Hamiltonian is filtered out by the symmetrization procedure
just due to its transformation properties.
- oai_identifier:
- oai:arXiv.org:quant-ph/9809064
- categories:
- quant-ph
- comments:
- Presentation improved, to appear in Phys. Lett. A. 5 pages LaTeX, no
figures
- doi:
- 10.1016/S0375-9601(99)00365-5
- arxiv_id:
- quant-ph/9809064
- journal_ref:
- Phys.Lett. A258 (1999) 77
- created:
- 1998-09-22
- updated:
- 1999-06-09
Full article ▸
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