Noise filtering in nontrivial quantum logic gates

Details Noise filtering in nontrivial quantum logic gates Noise filtering in nontrivial quantum logic gates

2011-10-31

arxiv.org/abs/1110.6686v2

Physics

Quantum Physics

Updated references. Related manuscripts available from http://www.physics.usyd.edu.au/~mbiercuk

Scientific paper

Treating the effects of a time-dependent classical dephasing environment during quantum logic operations poses a theoretical challenge, as the application of non-commuting 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. The calculation employs physically realistic bounded-strength controls and a filter-design framework to accurately predict error rates due to classical noise, a key capability in quantum information. We derive explicit filter functions for flexible control sequences, and use them to study the performance of dynamically corrected gates. Our analytic calculations -- validated by brute-force numerics -- show that these control sequences can provide many orders of magnitude in error suppression in the presence of Non-Markovian time-varying classical noise.

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