Dependence of the quantum speed limit on system size and control complexity

Lee, Juneseo; Arenz, Christian; Rabitz, Herschel; Russell, Benjamin

doi:10.1088/1367-2630/aac6f3

Title: Dependence of the quantum speed limit on system size and control complexity

Journal Article · Fri Jun 01 00:00:00 EDT 2018 · New Journal of Physics

DOI:https://doi.org/10.1088/1367-2630/aac6f3· OSTI ID:1440380

Lee, Juneseo; Arenz, Christian;

;

We extend the work in 2017 New J. Phys. 19 103015 by deriving a lower bound for the minimum time necessary to implement a unitary transformation on a generic, closed quantum system with an arbitrary number of classical control fields. This bound is explicitly analyzed for a specific N-level system similar to those used to represent simple models of an atom, or the first excitation sector of a Heisenberg spin chain, both of which are of interest in quantum control for quantum computation. Specifically, it is shown that the resultant bound depends on the dimension of the system, and on the number of controls used to implement a specific target unitary operation. The value of the bound determined numerically, and an estimate of the true minimum gate time are systematically compared for a range of system dimension and number of controls; special attention is drawn to the relationship between these two variables. Here, it is seen that the bound captures the scaling of the minimum time well for the systems studied, and quantitatively is correct in the order of magnitude.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-02ER15344

OSTI ID:: 1440380

Alternate ID(s):: OSTI ID: 1500091

Journal Information:: New Journal of Physics, Journal Name: New Journal of Physics Vol. 20 Journal Issue: 6; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 11 works

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Cited By (2)

Tight, robust, and feasible quantum speed limits for open dynamics Campaioli, Francesco; Pollock, Felix A.; Modi, Kavan Quantum, Vol. 3 https://doi.org/10.22331/q-2019-08-05-168	journal	August 2019
Controlling Decoherence Speed Limit of a Single Impurity Atom in a Bose-Einstein-Condensate Reservoir Song, Ya-Ju; Kuang, Le-Man Annalen der Physik, Vol. 531, Issue 2 https://doi.org/10.1002/andp.201800423	journal	January 2019

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
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quantum control
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quantum computation