Quantum error correction for continuously detected errors

Ahn, C., Wiseman, H. M. and Milburn, G. J. (2003) Quantum error correction for continuously detected errors. Physical Review A, 67 5: 052310-1-052310-11. doi:10.1103/PhysRevA.67.052310

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Author Ahn, C.
Wiseman, H. M.
Milburn, G. J.
Title Quantum error correction for continuously detected errors
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2003
Year available 2003
Sub-type Article (original research)
DOI 10.1103/PhysRevA.67.052310
Open Access Status File (Publisher version)
Volume 67
Issue 5
Start page 052310-1
End page 052310-11
Total pages 11
Place of publication New York
Publisher American Physical Society
Language eng
Subject 240000 Physical Sciences
240201 Theoretical Physics
Abstract We show that quantum feedback control can be used as a quantum-error-correction process for errors induced by a weak continuous measurement. In particular, when the error model is restricted to one, perfectly measured, error channel per physical qubit, quantum feedback can act to perfectly protect a stabilizer codespace. Using the stabilizer formalism we derive an explicit scheme, involving feedback and an additional constant Hamiltonian, to protect an (n-1)-qubit logical state encoded in n physical qubits. This works for both Poisson (jump) and white-noise (diffusion) measurement processes. Universal quantum computation is also possible in this scheme. As an example, we show that detected-spontaneous emission error correction with a driving Hamiltonian can greatly reduce the amount of redundancy required to protect a state from that which has been previously postulated [e.g., Alber , Phys. Rev. Lett. 86, 4402 (2001)].
Keyword Optics
Physics, Atomic, Molecular & Chemical
Feedback-control
Codes
Systems
State
Computation
Dots
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

 
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Created: Mon, 13 Aug 2007, 13:35:40 EST