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Show simple item record Green, T Uys, H Biercuk, MJ 2012-07-11T08:17:04Z 2012-07-11T08:17:04Z 2012-07
dc.identifier.citation gGreen, T, Uys, H and Biercuk, MJ. 2012. High-order noise filtering in nontrivial quantum logic gates. Physical Review Letters, vol. 109, DOI: 10.1103/PhysRevLett.109.020501 en_US
dc.identifier.issn 0031-9007
dc.identifier.issn 1079-7114
dc.description Creative Commons Attribution 3.0 License (CC-BY), which permits authors and others to copy, distribute, transmit, and adapt the work, provided that proper credit is given. en_US
dc.description.abstract Treating the effects of a time-dependent classical dephasing environment during quantum logic operations poses a theoretical challenge, as the application of noncommuting control operations gives rise to both dephasing and depolarization errors that must be accounted for in order to understand total average error rates. We develop a treatment based on effective Hamiltonian theory that allows us to efficiently model the effect of classical noise on nontrivial single-bit quantum logic operations composed of arbitrary control sequences. We present a general method to calculate the ensemble-averaged entanglement fidelity to arbitrary order in terms of noise filter functions, and provide explicit expressions to fourth order in the noise strength. In the weak noise limit we derive explicit filter functions for a broad class of piecewise-constant control sequences, and use them to study the performance of dynamically corrected gates, yielding good agreement with brute-force numerics. en_US
dc.language.iso en en_US
dc.publisher American Physical Society en_US
dc.relation.ispartofseries Workflow;9245
dc.subject Quantum logic operations en_US
dc.subject Noise filtering en_US
dc.subject Quantum physics en_US
dc.title High-order noise filtering in nontrivial quantum logic gates en_US
dc.type Article en_US

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