|
| related topics |
| {error, code, errors} |
| {qubit, qubits, gate} |
| {time, decoherence, evolution} |
| {vol, operators, histories} |
| {spin, pulse, spins} |
| {entanglement, phys, rev} |
| {trap, ion, state} |
| {operator, operators, space} |
| {cavity, atom, atoms} |
|
Quantum Error Correction of Time-Correlated Errors
Feng Lu, Dan C. Marinescu
abstract: The complexity of the error correction circuitry forces us to design quantum
error correction codes capable of correcting a single error per error
correction cycle. Yet, time-correlated error are common for physical
implementations of quantum systems; an error corrected during the previous
cycle may reoccur later due to physical processes specific for each physical
implementation of the qubits. In this paper we study quantum error correction
for a restricted class of time-correlated errors in a spin-boson model. The
algorithm we propose allows the correction of two errors per error correction
cycle, provided that one of them is time-correlated. The algorithm can be
applied to any stabilizer code when the two logical qubits $\mid 0_L>$ and
$\mid 1_L>$ are entangled states of $2^{n}$ basis states in
$\mathcal{H}_{2^n}$.
- oai_identifier:
- oai:arXiv.org:quant-ph/0605226
- categories:
- quant-ph
- comments:
- 14 pages, 3 figures
- arxiv_id:
- quant-ph/0605226
- created:
- 2006-05-26
- updated:
- 2007-04-06
Full article ▸
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