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 in a 3+2-particle nested-square system corrects a unified noise model on spin/position states and permits stacked implementations of stabilizer measurements, logical Hadamard, Toffoli, and adder gates using only nearest- and next-nearest-neighbor interactions.
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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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Toward fault-tolerant quantum computation exploiting quantum spatial distribution and gauge symmetry
Gauge symmetry in a 3+2-particle nested-square system corrects a unified noise model on spin/position states and permits stacked implementations of stabilizer measurements, logical Hadamard, Toffoli, and adder gates using only nearest- and next-nearest-neighbor interactions.