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Cited by 28Quantum optics and atomic interactionsQuantum Mechanics and ApplicationsQuantum Information and Cryptography

Quantum random walk of the field in an externally driven cavity

Open access
Agarwal, G. S., Pathak, P. K.·2005·Physical Review A
DOI 10.1103/physreva.72.033815
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Abstract

Using a resonant interaction between atoms and the field in a high-quality cavity, we show how to realize quantum random walks as proposed by Aharonov et al. [Phys. Rev. A 48, 1687 (1993)]. The atoms are driven strongly by a classical field. Under conditions of strong driving we could realize an effective interaction of the form $i{S}^{x}(a\ensuremath{-}{a}^{\ifmmode\dagger\else\textdagger\fi{}})$ in terms of the spin operator associated with the two-level atom and the field operators. This effective interaction generates displacement in the field's wave function depending on the state of the two-level atom. Measurements of the state of the two-level atom would then generate an effective state of the field. Using a homodyne technique, the state of the quantum random walker can be monitored.

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Crossref · 10.1103/physreva.72.033815

Cites

26 of 26 references verified0 citation errors · 0 not checkable

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Claims other papers make about this one

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  • Our model of quantum random walk is different from that of Ref. [16] because our system can produce entanglement even if initially there is none.

    “Our model of QRW is different from that of Ref [16] as our system can produce entanglement even if initially there is none.”

    From Quantum random walk of two photons in separable and entangled states (2007) · cites this paper as [16]

    Section III (page not available in our copy), Eqs. (11)–(13), starts with a product state of the atom and cavity field, then gives a joint state pairing different atomic states with differently displaced field states. For generic coefficients, that state is entangled, contrary to the sentence’s implied distinction that the cited model cannot generate entanglement from an initially unentangled state. The paper does not discuss entanglement between multiple walkers, if that is what the citing authors intended. (LLM, conf=0.78)

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  • In Ref. [16], the correlation between the walkers is completely because of their correlated initial state only; the walkers are nonidentical and evolve completely independently, so if the initial state is separable there is no correlation in QRW and it can be produced using walkers in coherent states.

    “In Ref. [16], the correlation between the walkers is completely because of their correlated initial state only. The walkers are nonidentical and evolve completely independent to each other. Thus if the initial state will be a separable state there will be no correlation in QRW and can be produced using walkers in coherent states.”

    From Quantum random walk of two photons in separable and entangled states (2007) · cites this paper as [16]

    Split into 2 atoms — 0 confirmed, 1 partially supported, 0 disputed, 0 misattributed, 1 unverifiable. Expand the claim to see per-atom verdicts.

    Experimental — accuracy not yet measured

  • Omar et al. studied quantum random walk of two nonidentical walkers with entangled initial state and showed that the final state is entangled depending on the initial entanglement.

    “Omar et al [16] have studied QRW of two nonidentical walkers with entangled initial state and have shown that the final state is entangled depending on the initial entanglement.”

    From Quantum random walk of two photons in separable and entangled states (2007) · cites this paper as [16]

    The Introduction and Conclusions describe this paper as a cavity-QED study of a quantum random walk of the field. Searches for Omar, two nonidentical walkers, and initial entanglement found no passage in our copy addressing the attributed finding. (LLM, conf=0.76)

    Experimental — accuracy not yet measured

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Cites

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Research works printed but not linked: 1

  1. [6]6. K. Eckert, J. Mompart, G. Birkl, and M. Lewenstein, e-print quant-ph/0503084. · arXiv

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Related

Authors
Agarwal, G. S., & Pathak, P. K.
Affiliations
Oklahoma State University (US)
ORCID
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2005-09-16
Volume
72
Issue
3
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.72.033815
OpenAlex
W2964188127
Cited by
28
References
26
Citations by year
2026: 2 · 2024: 1 · 2022: 2 · 2020: 1 · 2019: 2 · 2018: 1 · 2017: 1 · 2016: 2 · 2013: 3
FWCI
1.43
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • SHAREOK (University of Oklahoma; Oklahoma State University; Central Oklahoma University) (acceptedVersion, other-oa)
  • arXiv (Cornell University) (submittedVersion)
  • SHAREOK (University of Oklahoma; Oklahoma State University; Central Oklahoma University) (submittedVersion, other-oa)
  • arXiv (Cornell University)
Funders
National Science Foundation (0524673)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
Keywords
quantum walks, atom-field interaction, two-level atom, homodyne detection, quantum states of light

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