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Methodology for quantum logic gate constructions
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Methodology for quantum logic gate constructions
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We present a general method to construct fault-tolerant quantum logic gates with a simple primitive, which is an analog of quantum teleportation. The technique extends previous results based on traditional quantum teleportation (Gottesman and Chuang, Nature {\bf 402}, 390, 1999) and leads to straightforward and systematic construction of many fault-tolerant encoded operations, including the $\pi/8$ and Toffoli gates. The technique can also be applied to the construction of remote quantum operations that cannot be directly performed.
Forward citations
Cited by 2 Pith papers
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Magic Gate Teleportation: Structure, Useful Resource States, and Simpler Feedforward
MGT protocols encode the input into a measurement-heralded stabilizer code then apply a logical non-Clifford gate; useful resource states are Clifford-equivalent to diagonal states, and feedforward can often be Pauli.
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Demonstration of logical qubits and repeated error correction with better-than-physical error rates
Logical error rates in [[7,1,3]] and [[12,2,4]] codes are suppressed 9.8-800 times below physical rates on trapped-ion hardware, with repeated correction cycles approaching the error rate of two physical CNOTs.
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