Quantum metrology with superposition spin coherent states: Insights from Fisher information

被引：5

作者：

Maleki, Yusef ^{[1
]}

Scully, Marlan O. ^{[1
]}

Zheltikov, Aleksei M. ^{[1
,2
,3
,4
]}

机构：

[1] Inst Quantum Sci & Engn, Dept Phys & Astron, College Stn, TX 77843 USA

[2] Moscow MV Lomonosov State Univ, Phys Dept, Moscow 119992, Russia

[3] Russian Quantum Ctr, Int Ctr Quantum Technol, Skolkovo 143025, Moscow Region, Russia

[4] AN Tupolev Kazan Natl Res Tech Univ, Kazan Quantum Ctr, Kazan 420126, Russia

来源：

PHYSICAL REVIEW A | 2021年 / 104卷 / 05期

基金：

俄罗斯基础研究基金会; 俄罗斯科学基金会;

关键词：

NOON STATES; ENTANGLEMENT; LITHOGRAPHY; PHOTONS;

D O I：

10.1103/PhysRevA.104.053712

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present a closed-form analytical description for the metrological performance of a generic superposition of spin coherent states (SSCS) used as probes for quantum phase estimation. Working in this framework, we derive transparent analytical expressions for the pertinent quantum Fisher information and identify a general class of spin coherent states enabling quantum metrology with Heisenberg-limit precision. Bloch-sphere analysis of antipodal SSCS shows that the phase-estimation precision attainable with such states increases with the distance from the equator of the Bloch sphere, growing from the shot-noise limit level for the equatorial states all the way up to the Heisenberg limit for SSCS that can be represented as superpositions of the poles of the Bloch sphere.

引用

页数：6

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