|
| related topics |
| {classical, space, random} |
| {qubit, qubits, gate} |
| {time, wave, function} |
| {measurement, state, measurements} |
| {state, algorithm, problem} |
| {operator, operators, space} |
| {algorithm, log, probability} |
| {spin, pulse, spins} |
| {trap, ion, state} |
|
Quantum computing and information extraction for a dynamical quantum
system
Giuliano Benenti, Giulio Casati, Simone Montangero
abstract: We discuss the simulation of a complex dynamical system, the so-called
quantum sawtooth map model, on a quantum computer. We show that a quantum
computer can be used to efficiently extract relevant physical information for
this model. It is possible to simulate the dynamical localization of classical
chaos and extract the localization length of the system with quadratic speed up
with respect to any known classical computation. We can also compute with
algebraic speed up the diffusion coefficient and the diffusion exponent both in
the regimes of Brownian and anomalous diffusion. Finally, we show that it is
possible to extract the fidelity of the quantum motion, which measures the
stability of the system under perturbations, with exponential speed up.
- oai_identifier:
- oai:arXiv.org:quant-ph/0402010
- categories:
- quant-ph cond-mat.other nlin.CD
- comments:
- 11 pages, 5 figures, submitted to Quantum Information Processing,
Special Issue devoted to the Physics of Quantum Computing
- doi:
- 10.1007/s11128-004-0415-2
- arxiv_id:
- quant-ph/0402010
- journal_ref:
- Quantum Information Processing 3, 273 (2004)
- created:
- 2004-02-02
Full article ▸
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