9707049v1

related topics
{error, code, errors}
{time, decoherence, evolution}
{operator, operators, space}
{states, state, optimal}
{qubit, qubits, gate}
{equation, function, exp}
{group, space, representation}
{photon, photons, single}
{state, phys, rev}
{measurement, state, measurements}
{let, theorem, proof}

Continuous Error Correction

Juan Pablo Paz, Wojciech Hubert Zurek

abstract: We propose a new approach to study the evolution of a quantum state that is encoded in a system which is continuously subject to the operations required to implement a quantum error correcting code. In the limit of continuous error correction we introduce a Markovian master equation that includes the effects of: a) Hamiltonian evolution, b) errors caused by the interaction with an environment and c) error-correcting operations. The master equation is formally presented for all stabilizer codes and its solution is analyzed for the simplest such code.

oai_identifier:
oai:arXiv.org:quant-ph/9707049
categories:
quant-ph
comments:
10 pages with 2 figures. Submitted to Proc. Roy. Soc. Lond. A
arxiv_id:
quant-ph/9707049
created:
1997-07-24

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