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This research presents a significant breakthrough in digital quantum computing by introducing adaptive local-circuit protocols that efficiently generate spin squeezed states, a critical resource for quantum metrology. The study demonstrates an exponential improvement in circuit depth compared to non-adaptive methods and proves optimality through rigorous entanglement entropy bounds. Notably, classical simulations under realistic noise models predict a 4.2 dB metrological gain using near-term superconducting devices, validating the practical utility of these algorithms for future quantum sensors.
Digital Quantum Algorithms for Generating and Utilizing Spin Squeezed States
arXiv:2609.36004v1 Announce Type: new 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 $\xi$ in depth $\mathrm{O}\left(\log{1/\xi}\right)$, 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.
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 $\xi$ in depth $\mathrm{O}\left(\log{1/\xi}\right)$, 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.
Quantum Physics (quant-ph); Strongly Correlated Electrons (cond-mat.str-el)
arXiv:2609.36004 [quant-ph]
(or arXiv:2609.36004v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2609.36004 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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