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Fault-tolerant quantum computation against biased noise

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arxiv 0710.1301 v3 pith:6TLR6GBD submitted 2007-10-06 quant-ph cond-mat.mes-hallcond-mat.supr-con

Fault-tolerant quantum computation against biased noise

classification quant-ph cond-mat.mes-hallcond-mat.supr-con
keywords noisequantumbiasedcomputationcphasegatesaccuracydephasing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We formulate a scheme for fault-tolerant quantum computation that works effectively against highly biased noise, where dephasing is far stronger than all other types of noise. In our scheme, the fundamental operations performed by the quantum computer are single-qubit preparations, single-qubit measurements, and conditional-phase (CPHASE) gates, where the noise in the CPHASE gates is biased. We show that the accuracy threshold for quantum computation can be improved by exploiting this noise asymmetry; e.g., if dephasing dominates all other types of noise in the CPHASE gates by four orders of magnitude, we find a rigorous lower bound on the accuracy threshold higher by a factor of five than for the case of unbiased noise.

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    Twirling amplitude-damping noise into uniform Pauli/depolarising channels reduces expressivity and gradient magnitudes, while preserving the noise bias yields better VQA optimisation in the studied models.