High-Order Noise Filtering in Nontrivial Quantum Logic Gates

被引:62
作者
Green, Todd [1 ]
Uys, Hermann [2 ]
Biercuk, Michael J. [1 ]
机构
[1] Univ Sydney, Sch Phys, Ctr Engn Quantum Syst, Sydney, NSW 2006, Australia
[2] CSIR, Natl Laser Ctr, Pretoria, South Africa
基金
澳大利亚研究理事会;
关键词
DECOHERENCE; SYSTEMS;
D O I
10.1103/PhysRevLett.109.020501
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
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页数:5
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