Duality in Entanglement-Assisted Quantum Error Correction

Publisher:
IEEE-Inst Electrical Electronics Engineers Inc
Publication Type:
Journal Article
Citation:
IEEE Transactions On Information Theory, 2013, 59 (6), pp. 4020 - 4024
Issue Date:
2013-01
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The dual of an entanglement-assisted quantum error-correcting (EAQEC) code is defined from the orthogonal group of a simplified stabilizer group. From the Poisson summation formula, this duality leads to the MacWilliams identities and linear programming bounds for EAQEC codes. We establish a table of upper and lower bounds on the minimum distance of any maximal-entanglement EAQEC code with length up to 15 channel qubits.
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