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PreprintarXiv licencearXiv

Efficient preparation of spin-squeezed states with Grover's algorithm

  • Zhi-Yuan Zeng
  • Wen-Long Ma
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Abstract

We propose a scheme for preparing spin-squeezed states in an ensemble of N spin-1/2 particles based on Grover's algorithm. With only a few oracles, the scheme can exactly prepare superpositions of a few neighboring Dicke states with the Wineland squeezing parameter scaling as N−1. The scheme requires only global rotations and Dicke-selective phase shifts, thus avoiding the need to engineer a dedicated many-body Hamiltonian for the squeezing dynamics. We further discuss the feasibility of realizing the scheme in cavity QED systems, with the phase-matched Grover iterations realized by single-photon reflection from a dispersively coupled cavity. Full-sequence scattering calculations accounting for finite photon bandwidth and loss show that appreciable spin squeezing can be achieved with high fidelity for suitable system parameters.

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Cite

BibTeXRIS
BibTeX
@misc{zeng2026efficient,
  title = {{Efficient preparation of spin-squeezed states with Grover's algorithm}},
  author = {Zhi-Yuan Zeng and Wen-Long Ma},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07766},
  eprint = {2611.07766},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07766},
}
RIS
TY  - UNPB
TI  - Efficient preparation of spin-squeezed states with Grover's algorithm
AU  - Zhi-Yuan Zeng
AU  - Wen-Long Ma
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07766
UR  - https://arxiv.org/abs/2611.07766
AB  - We propose a scheme for preparing spin-squeezed states in an ensemble of N spin-1/2 particles based on Grover's algorithm. With only a few oracles, the scheme can exactly prepare superpositions of a few neighboring Dicke states with the Wineland squeezing parameter scaling as N^−1. The scheme requires only global rotations and Dicke-selective phase shifts, thus avoiding the need to engineer a dedicated many-body Hamiltonian for the squeezing dynamics. We further discuss the feasibility of realizing the scheme in cavity QED systems, with the phase-matched Grover iterations realized by single-photon reflection from a dispersively coupled cavity. Full-sequence scattering calculations accounting for finite photon bandwidth and loss show that appreciable spin squeezing can be achieved with high fidelity for suitable system parameters.
ER  -