Modular-value-based metrology with spin coherent pointers

Abstract

Modular values are quantities that described by pre- and postselected states of quantum systems like weak values but are different from them: The associated interaction is not necessary to be weak. We discuss an optimal modular-value-based measurement with a spin coherent pointer: A quantum system is exposed to a field in which strength is to be estimated through its modular value. We consider two cases, with a two-dimensional and a higher-dimensional pointer, and evaluate the quantum Fisher information. The modular-value-based measurement has no merit in the former case, while its sensitivity can be enhanced in the latter case. We also consider the pointer under a phase-flip error. Our study should motivate researchers to apply the modular-value-based measurements for quantum metrology.

6 pages, 3 figures

References in corpus (9)

• Twin matter waves for interferometry beyond the classical limit
• Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states
• General optimality of the Heisenberg limit for quantum metrology
• Modular values and weak values of quantum observables
• Weak-value amplification as an optimal metrological protocol
• Quantum sensors based on weak-value amplification cannot overcome decoherence
• Tensor Representation of Spin States
• Phase magnification by two-axis countertwisting for detection noise robust interferometry
• Overcoming experimental limitations in a non-linear two-qubit gate through postselection

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• Multiparameter quantum metrology with postselection measurements