|
| related topics |
| {spin, pulse, spins} |
| {time, decoherence, evolution} |
| {error, code, errors} |
| {time, wave, function} |
| {let, theorem, proof} |
| {qubit, qubits, gate} |
| {classical, space, random} |
| {operator, operators, space} |
| {algorithm, log, probability} |
| {equation, function, exp} |
| {information, entropy, channel} |
| {phase, path, phys} |
| {group, space, representation} |
|
Fault-Tolerant Quantum Dynamical Decoupling
K. Khodjasteh, D. A. Lidar
abstract: Dynamical decoupling pulse sequences have been used to extend coherence times
in quantum systems ever since the discovery of the spin-echo effect. Here we
introduce a method of recursively concatenated dynamical decoupling pulses,
designed to overcome both decoherence and operational errors. This is important
for coherent control of quantum systems such as quantum computers. For
bounded-strength, non-Markovian environments, such as for the spin-bath that
arises in electron- and nuclear-spin based solid-state quantum computer
proposals, we show that it is strictly advantageous to use concatenated, as
opposed to standard periodic dynamical decoupling pulse sequences. Namely, the
concatenated scheme is both fault-tolerant and super-polynomially more
efficient, at equal cost. We derive a condition on the pulse noise level below
which concatenated is guaranteed to reduce decoherence.
- oai_identifier:
- oai:arXiv.org:quant-ph/0408128
- categories:
- quant-ph
- comments:
- 5 pages, 4 color eps figures. v3: Minor changes. To appear in Phys.
Rev. Lett
- doi:
- 10.1103/PhysRevLett.95.180501
- arxiv_id:
- quant-ph/0408128
- journal_ref:
- Phys. Rev. Lett. 95, 180501 (2005)
- created:
- 2004-08-20
- updated:
- 2005-09-08
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