Optimal Displacement Sensing with Spin-Dependent Squeezed States
- URL: http://arxiv.org/abs/2510.25870v1
- Date: Wed, 29 Oct 2025 18:11:52 GMT
- Title: Optimal Displacement Sensing with Spin-Dependent Squeezed States
- Authors: Liam J. Bond, Christophe H. Valahu, Athreya Shankar, Ting Rei Tan, Arghavan Safavi-Naini,
- Abstract summary: We propose novel many-body displacement sensing schemes that use spin-dependent squeezed (SDS) states.<n>We show that SDS states are emphoptimal, i.e. their quantum Cram'er-Rao bound saturates the Heisenberg limit.<n>The potential applications of our sensing protocols range from measuring single-photon scattering to searches for dark matter.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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 Cram\'{e}r-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.
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