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Cited by 8Quantum Information and CryptographyQuantum and electron transport phenomenaDiamond and Carbon-based Materials Research

Geometrical optimization of spin clusters for the preservation of quantum coherence

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Gassab, Lea, Pusuluk, Onur, Müstecaplıoğlu, Özgür E.·2024·Physical Review A
DOI 10.1103/physreva.109.012424
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Abstract

We investigate the influence of geometry on the preservation of quantum coherence in spin clusters subjected to a thermal environment. Assuming weak interspin coupling, we explore the various buffer network configurations that can be embedded in a plane. Our findings reveal that the connectivity of the buffer network is crucial in determining the preservation duration of quantum coherence in an individual central spin. Specifically, we observe that the maximal planar graph yields the longest preservation time for a given number of buffer spins. Interestingly, our results demonstrate that the preservation time does not consistently increase with an increasing number of buffer spins. Employing a quantum master equation in our simulations, we further demonstrate that a tetrahedral geometry comprising a four-spin buffer network provides optimal protection against environmental effects.

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  • The tetrahedral geometry characteristic of phosphate in Posner molecules better preserves coherence and maintains entanglement.

    “Our numerical results demonstrate that this specific geometry not only better preserves coherence but also maintains entanglement.”

    From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [29]

  • In a recent article, the authors found that tetrahedral geometry is the best candidate for protection of quantum coherence in a central spin, closely resembling the phosphate molecule.

    “In a recent article, we have explored the preservation of quantum coherence in various geometries [29]. We found that the tetrahedral geometry is the best candidate for the protection of quantum coherence in a central spin, which closely resembles the structure of the phosphate molecule.”

    From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [29]

  • For N≥5, it is physically impossible to construct a fully connected network given the position of the central spin.

    “For N≥5, it is physically impossible to construct a fully connected network, given the position of the central spin (see e.g., [29]), and for instance for N=5 the interaction between spin 2 and spin 6 is missing.”

    From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [29]

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Research works printed but not linked: 1

  1. T. Croucher, J. Wright, A. R. R. Carvalho, S. M. Barnett, J. A. Vaccaro, Information Erasure, Thermodynamics in the Quantum Regime: Fundamental Aspects and New Directions, Springer International Publishing, 29, 713-730, (2018). · DOI

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Authors
Gassab, L., Pusuluk, O., & Müstecaplıoğlu, Ö. E.
Affiliations
  • Koç University (TR)
  • Kadir Has University (TR)
  • Sabancı Üniversitesi (TR)
Corresponding author
Gassab, Lea
ORCID
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2024-01-19
Volume
109
Issue
1
ISSN
  • 0556-2791 (ISSN-L)
  • 2469-9926
  • 2469-9934
DOI
10.1103/physreva.109.012424
OpenAlex
W4391023815
Cited by
8
References
44
Citations by year
2026: 1 · 2025: 6 · 2024: 1
FWCI
1.19
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Sabanci University (submittedVersion)
  • arXiv (Cornell University)
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 › Materials Science › Materials Chemistry › Diamond and Carbon-based Materials Research
Keywords
spin clusters, network geometry, planar graphs, tetrahedral geometry, thermal environment, quantum master equation, decoherence

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