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TMF, 2009, Volume 159, Number 2, Pages 283–298 (Mi tmf6349)  

This article is cited in 5 scientific papers (total in 5 papers)

Quantum entanglement in composite systems

A. Sowa

Department of Mathematics and Statistics, University of Saskatchewan

Abstract: We discuss a certain class of models of mesoscopic quantum phenomena that result from associating a particular type of Hamiltonian dynamics with the entangled states of composite systems. Using such models, we can concisely describe the phenomenology of a two-dimensional electron gas, in particular, the quantum Hall effect. We show how such models (if they are regarded as reflecting actual physical principles and not only the phenomenology) can be tested by a quantum teleportation-type experiment. The so-called mesoscopic models stipulate that the dynamics of a two-dimensional gas coupled to an ambient field is captured by a functional of the type $\operatorname{Tr}[H\rho]+\beta\operatorname{Tr} f(\rho)$, where $\rho$ is the density operator and $H$ is a single-particle Hamiltonian. We use the proposed approach to demonstrate that a suitable quantum teleportation experiment can provide information about the analytic function $f$. This leads us to view the composite system of an electron gas and an ambient field as a natural quantum computer.

Keywords: composite system, nonlocal model, quantum entanglement, quantum Hall effect

DOI: https://doi.org/10.4213/tmf6349

Full text: PDF file (430 kB)
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English version:
Theoretical and Mathematical Physics, 2009, 159:2, 654–666

Bibliographic databases:

Received: 24.04.2008

Citation: A. Sowa, “Quantum entanglement in composite systems”, TMF, 159:2 (2009), 283–298; Theoret. and Math. Phys., 159:2 (2009), 654–666

Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6349
  • http://mi.mathnet.ru/eng/tmf/v159/i2/p283

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Sowa A., “Stationary states in nonlocal type dynamics of composite systems”, J. Geom. Phys., 59:12 (2009), 1604–1612  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    2. Sowa A., “A model for non-local bonding in bipartite systems”, J. Mod. Opt., 56:12 (2009), 1363–1368  crossref  zmath  adsnasa  isi  scopus  scopus
    3. Granhen E.R., Linhares C.A., Malbouisson A.P.C., Malbouisson J.M.C., “Behavior of a bipartite system in a cavity”, Phys. Rev. A, 81:5 (2010), 053820, 7 pp.  crossref  adsnasa  isi  elib  scopus  scopus
    4. Sowa A., “Evolving states in nonlocal type dynamics of composite systems”, J. Geom. Phys., 61:1 (2011), 26–36  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    5. Sowa A., “Spectra of nonlocally bound quantum systems”, Russian Journal of Mathematical Physics, 18:2 (2011), 227–241  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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