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Title: Searching for quantum optimal controls under severe constraints

Journal Article · · Physical Review A - Atomic, Molecular, and Optical Physics
 [1];  [2];  [3];  [1];  [4];  [1];  [1]
  1. Princeton Univ., NJ (United States). Dept. of Chemistry
  2. Princeton Univ., NJ (United States). Dept. of Chemistry; Temple Univ., Philadelphia, PA (United States). Dept. of Chemistry
  3. Sandia National Lab. (SNL-CA), Livermore, CA (United States). Dept. of Scalable & Secure Systems Research
  4. Tsinghua Univ., Beijing (China). Center for Quantum Information Science and Technology, Dept. of Automation

The success of quantum optimal control for both experimental and theoretical objectives is connected to the topology of the corresponding control landscapes, which are free from local traps if three conditions are met: (1) the quantum system is controllable, (2) the Jacobian of the map from the control field to the evolution operator is of full rank, and (3) there are no constraints on the control field. This paper investigates how the violation of assumption (3) affects gradient searches for globally optimal control fields. The satisfaction of assumptions (1) and (2) ensures that the control landscape lacks fundamental traps, but certain control constraints can still prevent successful optimization of the objective. Using optimal control simulations, we show that the most severe field constraints are those that limit essential control resources, such as the number of control variables, the control duration, and the field strength. Proper management of these resources is an issue of great practical importance for optimization in the laboratory. For each resource, we show that constraints exceeding quantifiable limits can introduce artificial traps to the control landscape and prevent gradient searches from reaching a globally optimal solution. These results demonstrate that careful choice of relevant control parameters helps to eliminate artificial traps and facilitate successful optimization.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); US Army Research Office (ARO); NSFC
Grant/Contract Number:
AC04-94AL85000; FG02-02ER15344; W911NF-13-1-0237; 61374091; 61134008; 60904034
OSTI ID:
1340253
Alternate ID(s):
OSTI ID: 1179324
Report Number(s):
SAND-2014-19558J; PLRAAN; 642791
Journal Information:
Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Issue 4; ISSN 1050-2947
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 20 works
Citation information provided by
Web of Science

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  • Prokhorenko, Valentyn I.; Nagy, Andrea M.; Miller, R. J. Dwayne
  • The Journal of Chemical Physics, Vol. 122, Issue 18, Article No. 184502 https://doi.org/10.1063/1.1886750
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Cited By (6)

Quantum Optimal Control for Mixed State Squeezing in Cavity Optomechanics journal January 2019
Optimal and robust control of quantum state transfer by shaping the spectral phase of ultrafast laser pulses journal January 2018
Controlling open quantum systems: tools, achievements, and limitations journal May 2016
Frequency domain quantum optimal control under multiple constraints journal March 2016
Training Schrödinger’s cat: quantum optimal control: Strategic report on current status, visions and goals for research in Europe journal December 2015
Dressing the chopped-random-basis optimization: a bandwidth-limited access to the trap-free landscape text January 2015

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