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PreprintCC BY 4.0arXiv

Digital Quantum Algorithms for Generating and Utilizing Spin Squeezed States

  • Mingru Yang
  • Ruby Wei
  • Chao Yin
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Abstract

Spin squeezed states (SSSs) are conventionally viewed as analog resources for quantum metrology. Here we develop algorithms to efficiently generate and exploit SSSs on a digital quantum computer. We introduce an adaptive local-circuit protocol that prepares SSSs with squeezing parameter ξ in depth O(log1/ξ), yielding an exponential improvement over non-adaptive approaches. We prove that this depth is optimal for permutation symmetric SSSs by deriving a matching lower bound on entanglement entropy. We further leverage the squeezing paradigm to deterministically prepare the Dicke states using asymptotically fewer resources than prior methods. Remarkably, classical simulations of our preparation protocols under realistic noise models predicts a metrological gain of 4.2 dB beyond the standard quantum limit with 55 superconducting qubits in total including ancillae. Our work paves the way for performing quantum metrology on near-term digital quantum devices.

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Cite

BibTeXRIS
BibTeX
@misc{yang2026digital,
  title = {{Digital Quantum Algorithms for Generating and Utilizing Spin Squeezed States}},
  author = {Mingru Yang and Ruby Wei and Chao Yin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.36004},
  eprint = {2609.36004},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.36004},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Digital Quantum Algorithms for Generating and Utilizing Spin Squeezed States
AU  - Mingru Yang
AU  - Ruby Wei
AU  - Chao Yin
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.36004
UR  - https://arxiv.org/abs/2609.36004
AB  - Spin squeezed states (SSSs) are conventionally viewed as analog resources for quantum metrology. Here we develop algorithms to efficiently generate and exploit SSSs on a digital quantum computer. We introduce an adaptive local-circuit protocol that prepares SSSs with squeezing parameter ξ in depth O(log1/ξ), yielding an exponential improvement over non-adaptive approaches. We prove that this depth is optimal for permutation symmetric SSSs by deriving a matching lower bound on entanglement entropy. We further leverage the squeezing paradigm to deterministically prepare the Dicke states using asymptotically fewer resources than prior methods. Remarkably, classical simulations of our preparation protocols under realistic noise models predicts a metrological gain of 4.2 dB beyond the standard quantum limit with 55 superconducting qubits in total including ancillae. Our work paves the way for performing quantum metrology on near-term digital quantum devices.
ER  -