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Quantum Error Correction and Quantum Computation with Detected‐jump Correcting Quantum Codes
Author(s) -
Alber G.,
Delgado A.,
Mussinger M.
Publication year - 2001
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/1521-3978(200110)49:10/11<901::aid-prop901>3.0.co;2-a
Subject(s) - quantum error correction , quantum convolutional code , quantum computer , quantum algorithm , computer science , qubit , quantum capacity , error detection and correction , quantum , quantum information , quantum network , quantum mechanics , algorithm , mathematics , physics
A new class of embedded error correcting quantum codes is discussed. These detected‐jump correcting quantum codes are capable of stabilizing distinguishable qubits against spontaneous decay. Due to their low redundancy and due to the small number of control measurements and recovery operations required these new error‐correcting quantum codes offer interesting perspectives for quantum computation. In this contribution main ideas underlying these embedded error correcting quantum codes and their links to fundamental concepts of combinatorial design theory are discussed. In addition, possibilities are explored for implementing universal quantum gates within these code spaces.