Fault-tolerant Iceberg code on trapped-ion hardware achieves beyond-break-even error detection for Toffoli and Bell circuits by filtering errors, yielding higher fidelity than unencoded versions.
Both toffoli and controlled-not need little help to do universal quantum computation.arXiv preprint quant-ph/0205115
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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.
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Fault-Tolerant Error Detection Above Break-Even for Multi-Qubit Gates
Fault-tolerant Iceberg code on trapped-ion hardware achieves beyond-break-even error detection for Toffoli and Bell circuits by filtering errors, yielding higher fidelity than unencoded versions.
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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.