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Main Authors: Vybornyi, Ivan, Chen, Shuying, Spieß, Lukas J., Schmidt, Piet O., Hammerer, Klemens
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.20104
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author Vybornyi, Ivan
Chen, Shuying
Spieß, Lukas J.
Schmidt, Piet O.
Hammerer, Klemens
author_facet Vybornyi, Ivan
Chen, Shuying
Spieß, Lukas J.
Schmidt, Piet O.
Hammerer, Klemens
contents In quantum logic spectroscopy, internal transitions of trapped ions and molecules can be probed by measuring the motional displacement caused by an applied light field of variable frequency. This provides a solution to ``needle in a haystack'' problems, such as the search for narrow clock transitions in highly charged ions, recently discussed by S. Chen et al. (Phys. Rev. Applied 22, 054059). The main bottleneck is the search speed over a frequency bandwidth, which can be increased by enhancing the sensitivity of displacement detection. In this work, we explore two complementary improvements: the use of squeezed motional states, explained using an analytical phase space model and optimal statistical postprocessing of data using a hypothesis testing framework. We demonstrate that each method independently provides a substantial boost to search speed. Their combination effectively mitigates state preparation and measurement errors, improving the search speed by an order of magnitude and fully leveraging the quantum enhancement offered by squeezing.
format Preprint
id arxiv_https___arxiv_org_abs_2505_20104
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Line search by quantum logic spectroscopy enhanced with squeezing and statistical tests
Vybornyi, Ivan
Chen, Shuying
Spieß, Lukas J.
Schmidt, Piet O.
Hammerer, Klemens
Quantum Physics
In quantum logic spectroscopy, internal transitions of trapped ions and molecules can be probed by measuring the motional displacement caused by an applied light field of variable frequency. This provides a solution to ``needle in a haystack'' problems, such as the search for narrow clock transitions in highly charged ions, recently discussed by S. Chen et al. (Phys. Rev. Applied 22, 054059). The main bottleneck is the search speed over a frequency bandwidth, which can be increased by enhancing the sensitivity of displacement detection. In this work, we explore two complementary improvements: the use of squeezed motional states, explained using an analytical phase space model and optimal statistical postprocessing of data using a hypothesis testing framework. We demonstrate that each method independently provides a substantial boost to search speed. Their combination effectively mitigates state preparation and measurement errors, improving the search speed by an order of magnitude and fully leveraging the quantum enhancement offered by squeezing.
title Line search by quantum logic spectroscopy enhanced with squeezing and statistical tests
topic Quantum Physics
url https://arxiv.org/abs/2505.20104