Gauge symmetry combined with quantum spatial distribution in a 3+2 particle stabilizer code corrects unified decoherence and dephasing noise while enabling local implementations of error detection, Hadamard, Toffoli, and quantum addition.
Stabilizer formalism for operator quantum error correction.Physical review letters, 95(23):230504
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Quantum Error Correction Exploiting Quantum Spatial Distribution and Gauge Symmetry
Gauge symmetry combined with quantum spatial distribution in a 3+2 particle stabilizer code corrects unified decoherence and dephasing noise while enabling local implementations of error detection, Hadamard, Toffoli, and quantum addition.