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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/5992

Title: High-order noise filtering in nontrivial quantum logic gates
Authors: Green, T
Uys, H
Biercuk, MJ
Keywords: Quantum logic operations
Noise filtering
Quantum physics
Issue Date: Jul-2012
Publisher: American Physical Society
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
Series/Report no.: Workflow;9245
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.
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.
URI: http://prl.aps.org/pdf/PRL/v109/i2/e020501
ISSN: 0031-9007
Appears in Collections:Laser physics and technology
General science, engineering & technology

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