Skip to content
DraconiticResearch
Search Sources API
186,086 studies31 sourcesUpdated 45 min ago
PreprintarXiv licencearXiv

Associative Memory for Quantum Entangled States

  • Qiyuan Hu
  • Kartiek Agarwal
  • Ivar Martin
Open at sourcePDFDOICite

Abstract

We generalize the canonical Hopfield model of associative memory, which stores classical states of individual spins, to store entangled quantum states. The construction is based on truncated projector-sum Hamiltonian, and we explicitly consider a special case that stores dimer singlet coverings of a spin-1/2 system. We analyze the stability of the stored memories and find that the capacity -- the number of stable patterns -- scales faster with the system size than one would expect from a naive analogy with the standard Hopfield model, suggesting a possible quantum advantage.

Related

  1. Alignment of the amplitudes of stored states for solving the associative memory problem using quantum annealing
    Vladimir E. Zobov, Ivan S. Pichkovskiy
    arXivPreprintarXiv licenceFull textQuantum physics & quantum informationarXiv
  2. Simulation of quantum entangled states by classical probabilistic models
    Andrey Akhmeteli
    HALPreprintPublisher termsFull textGeneral physicsHAL
  3. Fluctuation-free Quantum Battery Charging Enabled by Bell-like Entangled and Separable Charger States
    Longyan Gong, Jing Zhang, Yongtao Li
    arXivPreprintarXiv licenceFull textCondensed matterQuantum physics & quantum informationarXiv
  4. Ergotropy of multipartite entangled states in the quantum atmosphere
    Ruopu Sun, Xiaofen Huang
    arXivPreprintCC BY 4.0Full textQuantum physics & quantum informationarXiv
  5. Fast Neural Noise Stabilizes Associative Memory against Slow Synaptic Noise
    Tomoki Kurikawa, Kunihiko Kaneko
    arXivPreprintCC BY-NC-SA 4.0Full textBiological & medical physicsCondensed matterarXiv

Cite

BibTeXRIS
BibTeX
@misc{hu2026associative,
  title = {{Associative Memory for Quantum Entangled States}},
  author = {Qiyuan Hu and Kartiek Agarwal and Ivar Martin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.28726},
  eprint = {2609.28726},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.28726},
}
RIS
TY  - UNPB
TI  - Associative Memory for Quantum Entangled States
AU  - Qiyuan Hu
AU  - Kartiek Agarwal
AU  - Ivar Martin
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.28726
UR  - https://arxiv.org/abs/2609.28726
AB  - We generalize the canonical Hopfield model of associative memory, which stores classical states of individual spins, to store entangled quantum states. The construction is based on truncated projector-sum Hamiltonian, and we explicitly consider a special case that stores dimer singlet coverings of a spin-1/2 system. We analyze the stability of the stored memories and find that the capacity -- the number of stable patterns -- scales faster with the system size than one would expect from a naive analogy with the standard Hopfield model, suggesting a possible quantum advantage.
ER  -