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.
Class of quantum error-correcting codes saturating the quantum hamming bound.Physical Review A, 54(3):1862
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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.