Optimal Displacement Sensing with Spin-Dependent Squeezed States

Fuente: arXiv
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Autori principali: Bond, Liam J., Valahu, Christophe H., Shankar, Athreya, Tan, Ting Rei, Safavi-Naini, Arghavan
Natura: Preprint
Pubblicazione: 2025
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author Bond, Liam J.
Valahu, Christophe H.
Shankar, Athreya
Tan, Ting Rei
Safavi-Naini, Arghavan
author_facet Bond, Liam J.
Valahu, Christophe H.
Shankar, Athreya
Tan, Ting Rei
Safavi-Naini, Arghavan
contents Displacement sensing is a fundamental task in metrology. However, the development of quantum-enhanced sensors that fully utilize the available degrees of freedom in many-body quantum systems remains an outstanding challenge. We propose novel many-body displacement sensing schemes that use spin-dependent squeezed (SDS) states -- hybrid spin-boson states whose bosonic squeezed quadrature is conditioned on an auxiliary spin. We prove that SDS states are \emph{optimal}, i.e. their quantum Cramér-Rao bound saturates the Heisenberg limit. We propose explicit measurement sequences that can be readily implemented in systems such as trapped ions. We also introduce a scalable state-preparation protocol and numerically demonstrate the preparation of $8.7$~dB of spin-dependent squeezing $15$ times faster than the standard approach using second-order sidebands in trapped ions. The potential applications of our sensing protocols range from measuring single-photon scattering to searches for dark matter.
format Preprint
id arxiv_https___arxiv_org_abs_2510_25870
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal Displacement Sensing with Spin-Dependent Squeezed States
Bond, Liam J.
Valahu, Christophe H.
Shankar, Athreya
Tan, Ting Rei
Safavi-Naini, Arghavan
Quantum Physics
Displacement sensing is a fundamental task in metrology. However, the development of quantum-enhanced sensors that fully utilize the available degrees of freedom in many-body quantum systems remains an outstanding challenge. We propose novel many-body displacement sensing schemes that use spin-dependent squeezed (SDS) states -- hybrid spin-boson states whose bosonic squeezed quadrature is conditioned on an auxiliary spin. We prove that SDS states are \emph{optimal}, i.e. their quantum Cramér-Rao bound saturates the Heisenberg limit. We propose explicit measurement sequences that can be readily implemented in systems such as trapped ions. We also introduce a scalable state-preparation protocol and numerically demonstrate the preparation of $8.7$~dB of spin-dependent squeezing $15$ times faster than the standard approach using second-order sidebands in trapped ions. The potential applications of our sensing protocols range from measuring single-photon scattering to searches for dark matter.
title Optimal Displacement Sensing with Spin-Dependent Squeezed States
topic Quantum Physics
url https://arxiv.org/abs/2510.25870