Detected-jump-error correcting quantum codes, quantum error designs and quantum computation

G. Alber, Th. Beth, Ch. Charnes, A. Delgado, M. Grassl, M. Mussinger

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


The recently introduced detected-jump-correcting quantum codes are capable of stabilizing qubit systems against spontaneous decay processes arising from couplings to statistically independent reservoirs. These embedded quantum codes exploit classical information about which qubit has emitted spontaneously and correspond to an active error-correcting code embedded in a passive error-correcting code. The construction of a family of one-detected-jump-error-correcting quantum codes is shown and the optimal redundancy, encoding, and recovery as well as general properties of detected-jump-error-correcting quantum codes are discussed. By the use of design theory, multiple-jump-error-correcting quantum codes can be constructed. The performance of one-jump-error-correcting quantum codes under nonideal conditions is studied numerically by simulating a quantum memory and Grover’s algorithm.
Original languageEnglish
Article number012316
Pages (from-to)012316-1-012316-10
Number of pages10
JournalPhysical Review A. Atomic, Molecular, and Optical Physics
Issue number1
Publication statusPublished - 2003
Externally publishedYes


  • quantum codes
  • decay processes
  • design theory
  • Grover's alogithm


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