An early fault-tolerant quantum computer architecture that uses teleportation between the [[4,2,2]] and [[8,3,2]] color codes for a universal transversal gate set, plus a mirror-circuit benchmarking protocol.
Flag fault-tolerant error correction for any stabilizer code
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abstract
Conventional fault-tolerant quantum error-correction schemes require a number of extra qubits that grows linearly with the code's maximum stabilizer generator weight. For some common distance-three codes, the recent "flag paradigm" uses just two extra qubits. Chamberland and Beverland (2018) provide a framework for flag error correction of arbitrary-distance codes. However, their construction requires conditions that only some code families are known to satisfy. We give a flag error-correction scheme that works for any stabilizer code, unconditionally. With fast qubit measurement and reset, it uses $d+1$ extra qubits for a distance-$d$ code.
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A small and interesting architecture for early fault-tolerant quantum computers
An early fault-tolerant quantum computer architecture that uses teleportation between the [[4,2,2]] and [[8,3,2]] color codes for a universal transversal gate set, plus a mirror-circuit benchmarking protocol.