Journal
PHYSICAL REVIEW A
Volume 90, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.90.062309
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Funding
- National Science Foundation Graduate Research Fellowship Program [DGE 1148900]
- National Science Foundation [CHE-1058644]
- ARO-MURI [W911NF-11-1-2068]
- Laboratory Directed Research and Development program at Sandia National Laboratories
- United States Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
- NSFC [61374091, 61134008]
- Direct For Mathematical & Physical Scien
- Division Of Chemistry [1058644] Funding Source: National Science Foundation
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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.
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