Cited by 39Quantum Information and CryptographyQuantum and electron transport phenomenaQuantum Computing Algorithms and Architecture

Control of open quantum systems: case study of the central spin model

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Arenz, Christian, Gualdi, Giulia, Burgarth, Daniel·2014·New Journal of Physics

Abstract

We study the controllability of a central spin guided by a classical field and interacting with a spin bath and show that the central spin is fully controllable independently of the number of bath spins. Additionally we find that for unequal system-bath couplings even the bath becomes controllable by acting on the central spin alone. We then analyze numerically how the time to implement gates on the central spin scales with the number of bath spins and conjecture that for equal system-bath couplings it reaches a saturation value. We provide evidence that sometimes noise can be effectively suppressed through control.

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Research works printed but not linked: 5

  1. Breuer H-P and Petruccione F 2002 The Theory of Open Quantum Systems (Oxford: Oxford University Press)
  2. OʼMeara C, Dirr G and Schulte-Herbrüggen T 2012 Automatic Control IEEE Trans. 57 2050-6
  3. Jurdjevic V 1997 Geometric Control Theory (Cambridge: Cambridge University Press)
  4. Elliot D L 2000 Bilinear Control Systems (Applied Mathematical Science vol 169) (Berlin: Springer)
  5. Nielsen M A and Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)

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Authors
Arenz, C., Gualdi, G., & Burgarth, D.
Affiliations
  • Aberystwyth University (GB)
  • Quantum Science and Technology in Arcetri (IT)
Venue
New Journal of Physics
Published
2014-06-26
Volume
16
Issue
6
Pages
065023
ISSN
1367-2630 (ISSN-L)
OpenAlex
W2129194736
Cited by
39
References
45
Citations by year
2026: 3 · 2025: 3 · 2024: 3 · 2023: 2 · 2022: 2 · 2021: 1 · 2020: 4 · 2019: 6 · 2018: 4 · 2017: 3 · 2016: 6 · 2015: 2
FWCI
3.65
Type
journal article
Language
en
Open access
Locations
  • New Journal of Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Science Foundation (25915)
  • Ministero dell’Istruzione, dell’Università e della Ricerca (2010LLKJBX)
  • Università degli Studi di Firenze
  • Kavli Institute for Theoretical Physics, University of California, Santa Barbara (PHY-11-25915)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
Keywords
open quantum systems, controllability, central spin model, spin bath, system-bath coupling, noise reduction, quantum control

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