A Construction of Quantum Error-Locating Codes*
Jihao Fan, Hanwu Chen · Communications in Theoretical Physics · 2017
Abstract We present the construction of quantum error-locating (QEL) codes based on classical error-locating (EL) codes. Similar to classical EL codes, QEL codes lie midway between quantum error-correcting codes and quantum error-detecting codes. Then QEL codes can locate qubit errors within one sub-block of the received qubit symbols but do not need to determine the exact locations of the erroneous qubits. We show that, an e-error-locating code derived from an arbitrary binary cyclic code with generator polynomial g ( x ) , can lead to a QEL code with e error-locating abilities, only if g ( x ) does not contain the ( 1 + x ) -factor .