Adaptive quantum metrology with large dynamic range using short one-axis twists

• URL: http://arxiv.org/abs/2603.14095v1
• Date: Sat, 14 Mar 2026 19:43:39 GMT
• Title: Adaptive quantum metrology with large dynamic range using short one-axis twists
• Abstract summary: A recently proposed phase estimation scheme approaches the Heisenberg scaling in this global setting.<n>We first observe that the pattern of increase in the squeezing of the probes is applicable even to states with some non-Gaussian features.<n>We show that these states are suitable for use in the phase estimation scheme, and highlight the protocols to achieve $=17/9$ and $53/27$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Phase estimation with potentially large phase values, i.e., with large dynamic range, has many applications in quantum metrology, for example to atomic clocks. A recently proposed phase estimation scheme approaches the Heisenberg scaling in this global setting using sequences of increasingly squeezed Gaussian states as probes and adaptively chosen, potentially mid-circuit, measurements. In this work, we first observe that the pattern of increase in the squeezing of the probes is applicable even to states with some non-Gaussian features. We then propose an experimentally feasible version of this phase estimation scheme, based on the alternating application of one-axis twist (OAT) operations and rotations. Our protocols are explicitly described in terms of multiple OAT angles whose durations decrease polynomially with system size and spin-squeezing parameters that decay as $N^{-μ}$, with $μ>2/3$ in most cases. Using numerical computation of the system-size dependence $N^{-ν}$ of the Bayesian mean-squared error of an estimator, we show that these states are suitable for use in the phase estimation scheme, and highlight the protocols to achieve $ν=17/9$ and $53/27$ using two and three OAT operations respectively in the last adaptation stage. We also analyze the limited non-Gaussianity of the resulting probe states and discuss the role of non-Gaussianity in this protocol more generally. Finally, we analyze how robust these protocols are with respect to imperfections such as particle number fluctuations and coherent control fluctuations.

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