Characterization of control noise effects in optimal quantum unitary dynamics

David Hocker, Constantin Brif, Matthew D. Grace, Ashley Donovan, Tak San Ho, Katharine Moore Tibbetts, Rebing Wu, Herschel Rabitz

Research output: Contribution to journalArticle

14 Scopus citations

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.

Original languageEnglish (US)
Article number062309
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume90
Issue number6
DOIs
StatePublished - Dec 2 2014

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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