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Cited by 30Quantum Mechanics and ApplicationsQuantum Computing Algorithms and ArchitectureCellular Automata and Applications

From Dirac to Diffusion: Decoherence in Quantum Lattice Gases

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Love, Peter J., Boghosian, Bruce M.·2005·Quantum Information Processing
DOI 10.1007/s11128-005-7852-4
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Crossref · 10.1007/s11128-005-7852-4

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  • Consistency of the (1+1)-dimensional Dirac QW has been observed numerically in [9] and in (3+1)-dimensions in [10-12].

    “It has been observed numerically in + (1 1) -dimensions in [9] and in + (3 1)-dimensions in [10-12].”

    From The Dirac equation as a quantum walk: higher dimensions, observational convergence (2014) · cites this paper as [9]

    The Introduction and Quantum Lattice-Gas Model sections say that the one-dimensional quantum lattice gas yields the Dirac propagator in the continuum limit. The Simulations section reports numerical evolution, but does not describe it as a numerical test of consistency with the Dirac equation. The paper treats models in multiple dimensions as future work, so it does not support the (3+1)-dimensional part. (LLM, conf=0.82)

    Experimental — accuracy not yet measured

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Cites

Flagged first, then by citations

Research works printed but not linked: 38

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Cited by

Sorted by citations

Authors
Love, P. J., & Boghosian, B. M.
Affiliations
Tufts University (US)
Corresponding author
Love, Peter J.
ORCID
Venue
Quantum Information Processing
Publisher
Springer Science and Business Media LLC
Published
2005-10
Volume
4
Issue
4
Pages
335-354
ISSN
  • 1570-0755 (ISSN-L)
  • 1573-1332
DOI
10.1007/s11128-005-7852-4
OpenAlex
W1988083700
Cited by
30
References
1
Citations by year
2026: 1 · 2023: 1 · 2022: 1 · 2019: 4 · 2018: 2 · 2017: 1 · 2016: 1 · 2014: 2 · 2013: 2 · 2012: 5
FWCI
0.82
Type
journal article
Language
en
Open access
Licence
www.springer.com/tdm (tdm)
Locations
  • Quantum Information Processing (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • Defense Advanced Research Projects Agency
  • Air Force Office of Scientific Research (FA9550-, F49620, FA9550-04)
  • Army Research Office (W911NF)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Cellular Automata and Applications
Keywords
decoherence, parity invariance, spin degrees of freedom, random walks, quantum diffusion, quantum noise, open quantum systems

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