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Characterization of control noise effects in optimal quantum unitary dynamics

Author(s): Hocker, David; Brif, Constantin; Grace, Matthew D.; Donovan, Ashley; Ho, Tak-San; et al

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Abstract: This work develops measures for quantifying the effects of field noise upon targeted unitary transformations. Robustness to noise is assessed in the framework of the quantum control landscape, which is the mapping from the control to the unitary transformation performance measure (quantum gate fidelity). Within that framework, a geometric interpretation of stochastic noise effects naturally arises, where more robust optimal controls are associated with regions of small overlap between landscape curvature and the noise correlation function. Numerical simulations of this overlap in the context of quantum information processing reveal distinct noise spectral regimes that better support robust control solutions. This perspective shows the dual importance of both noise statistics and the control form for robustness, thereby opening up new avenues of investigation on how to mitigate noise effects in quantum systems.
Publication Date: 2-Dec-2014
Citation: Hocker, David, Brif, Constantin, Grace, Matthew D, Donovan, Ashley, Ho, Tak-San, Tibbetts, Katharine Moore, Wu, Rebing, Rabitz, Herschel. (2014). Characterization of control noise effects in optimal quantum unitary dynamics. PHYSICAL REVIEW A, 90 (10.1103/PhysRevA.90.062309
DOI: doi:10.1103/PhysRevA.90.062309
ISSN: 1050-2947
EISSN: 1094-1622
Pages: 062309-1 - 062309-9
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW A
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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