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Quantum Foundations

Bell State Analysis Provides an Optimal Basis Saturating the Quantum Cramer-Rao in Rotation Sensing

arXiv

Authors: Zhuoran Bao, Daniel F. V. James

Year

2026

Paper ID

68382

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

Abstract

The second-order anti-coherent state of light is known to saturate the Cramer-Rao Bound (QCRB) for rotation sensing around an arbitrary axis. However, due to the complexity of the state and the inefficiency of state tomography, parameter extraction remains an open problem. In this manuscript, we approach the problem of parameter extraction using pair-wise Bell state analysis with an additional path degree of freedom. Due to the transformation property of rotation, only the symmetric Bell states will show up in projection in the final state. We exploit this advantage to develop a scheme for extracting the rotation angle for N=4 and N=6 second-order anti-coherent states.

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The second-order anti-coherent state of light is known to saturate the Cramer-Rao Bound (QCRB) for rotation sensing around an arbitrary axis.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2605.24108 [2] arXiv https://arxiv.org/abs/2605.24108 [3] Publisher https://arxiv.org/abs/2605.24108

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External citation index: OpenAlex citation signal • updated 2026-06-11 06:18:34

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