Cited by 48Quantum Mechanics and ApplicationsQuantum Computing Algorithms and ArchitectureNeural Networks and Applications

A recurrent quantum neural network model to describe eye tracking of moving targets

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Behera, Laxmidhar, Kar, Indrani, Elitzur, Avshalom C.·2005·Foundations of Physics Letters

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Crossref · 10.1007/s10702-005-7125-6

Cites

26 of 26 references verified0 citation errors · 0 not checkable

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  • A quantum model of visual pursuit dramatically outperforms comparable classical algorithms.

    “This vague conjecture is realized in an impressive concrete form in a fascinating quantum model of visual pursuit—how our brain moves our eyes to follow a moving visual target (Behera et al. 2005). The quantum model dramatically outperforms comparable classical algorithms.”

    From A quantum microtubule substrate of consciousness is experimentally supported and solves the binding and epiphenomenalism problems (2025) · cites this paper as Behera et al. 2005

    The Simulation Results (pp. 3–4) report substantially lower tracking error for the RQNN than for a Kalman filter when tracking a fixed target in Gaussian noise. The Conclusion (p. 5) calls its stochastic filtering of a DC signal 1000 times more accurate. This supports a dramatic advantage in that comparison, but not the broader claim that the model outperforms comparable classical algorithms generally, including for moving-target pursuit. (LLM, conf=0.85)

    Experimental — accuracy not yet measured
  • Unlike classical algorithms, the quantum model of visual pursuit predicts occasionally discontinuous jumps (saccades) in eye position, as is observed experimentally.

    “Moreover, unlike the classical algorithms, the quantum model predicts occasionally discontinuous jumps (saccades) in eye position, as is observed experimentally.”

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Cites

Flagged first, then by citations

6 of the 32 references couldn’t be matched to a known paper.

Research works printed but not linked: 6

  1. [10]R. Penrose, Shadows of the Mind (Oxford University Press, 1994).
  2. [11]L. Behera, B. Sundaram, G. Singhal, and M. Agarawal, IEEE Trans. Neural Networks (2003), revised and submitted.
  3. [13]S. Gupta and R. Zia, Journal of Computer and System Sciences 63 , 355 (2001).
  4. [14]R. Boyd, Nonlinear Optics (Academic Press, 1991).
  5. [16]I. Bialynicki-Birula and J. Mycielski, Annals of Physics 100 , 62 (1976).
  6. [18]A. C. Scott, F. Y. F. Chu, and D. W. McLaughlin (1973), vol. 61.

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Authors
Behera, L., Kar, I., & Elitzur, A. C.
Affiliations
Indian Institute of Technology Kanpur (IN)
Corresponding author
Elitzur, Avshalom C.
Venue
Foundations of Physics Letters
Published
2005-07-25
Volume
18
Issue
4
Pages
357-370
ISSN
  • 0894-9875 (ISSN-L)
  • 1572-9524
OpenAlex
W1812431251
Cited by
48
References
32
Citations by year
2026: 3 · 2025: 3 · 2024: 3 · 2023: 1 · 2022: 1 · 2021: 1 · 2020: 4 · 2019: 3 · 2018: 2 · 2017: 1 · 2016: 2 · 2015: 3 · 2014: 2 · 2013: 2 · 2012: 1
FWCI
0.82
Type
journal article
Language
en
Open access
Locations
  • Foundations of Physics Letters (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
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 › Artificial Intelligence › Neural Networks and Applications
Keywords
eye tracking, moving targets, nonlinear Schrödinger equation, wave packets, saccades, smooth pursuit eye movements, Kalman filter comparison

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