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Sparse Quantum Codes from Quantum Circuits
2015
Proceedings of the Forty-Seventh Annual ACM on Symposium on Theory of Computing - STOC '15
We describe a general method for turning quantum circuits into sparse quantum subsystem codes. The idea is to turn each circuit element into a set of low-weight gauge generators that enforce the input-output relations of that circuit element. Using this prescription, we can map an arbitrary stabilizer code into a new subsystem code with the same distance and number of encoded qubits but where all the generators have constant weight, at the cost of adding some ancilla qubits. With an additional
doi:10.1145/2746539.2746608
dblp:conf/stoc/BaconFHS15
fatcat:oai67s644vff5nzcfg24og5htu