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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 35, Iss. 9 — May. 1, 2010
  • pp: 1464–1466

Photonic entanglement-assisted quantum low-density parity-check encoders and decoders

Ivan B. Djordjevic  »View Author Affiliations


Optics Letters, Vol. 35, Issue 9, pp. 1464-1466 (2010)
http://dx.doi.org/10.1364/OL.35.001464


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Abstract

I propose encoder and decoder architectures for entanglement-assisted (EA) quantum low-density parity-check (LDPC) codes suitable for all-optical implementation. I show that two basic gates needed for EA quantum error correction, namely, controlled-NOT (CNOT) and Hadamard gates can be implemented based on Mach–Zehnder interferometer. In addition, I show that EA quantum LDPC codes from balanced incomplete block designs of unitary index require only one entanglement qubit to be shared between source and destination.

© 2010 Optical Society of America

OCIS Codes
(130.3120) Integrated optics : Integrated optics devices
(270.5565) Quantum optics : Quantum communications
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Quantum Optics

History
Original Manuscript: March 1, 2010
Manuscript Accepted: March 13, 2010
Published: April 30, 2010

Citation
Ivan B. Djordjevic, "Photonic entanglement-assisted quantum low-density parity-check encoders and decoders," Opt. Lett. 35, 1464-1466 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-9-1464


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References

  1. M. A. Neilsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, 2000).
  2. D. J. C. MacKay, G. Mitchison, and P. L. McFadden, IEEE Trans. Inf. Theory 50, 2315 (2004). [CrossRef]
  3. T. Brun, I. Devetak, and M.-H. Hsieh, Science 314, 436 (2006). [CrossRef] [PubMed]
  4. T. C. Ralph, N. K. Langford, T. B. Bell, and A. G. White, Phys. Rev. A 65, 062324 (2002). [CrossRef]

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