Quantum-limited Euler angle measurements using anticoherent states

被引：41

作者：

Goldberg, Aaron Z. ^{[1
]}

James, Daniel F., V ^{[1
]}

机构：

[1] Univ Toronto, Dept Phys, Toronto, ON M5S 1A7, Canada

来源：

PHYSICAL REVIEW A | 2018年 / 98卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

NOISE; ROTATION; SU(2); ATOM;

D O I：

10.1103/PhysRevA.98.032113

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Many protocols require precise rotation measurement. Here we present a general class of states that surpass the shot-noise limit for measuring rotation around arbitrary axes. We then derive a quantum Cramer-Rao bound for simultaneously estimating all three parameters of a rotation (e.g., the Euler angles) and discuss states that achieve Heisenberg-limited sensitivities for all parameters; the bound is saturated by "anticoherent" states [Zimba, Electron. J. Theor. Phys. 3, 143 (2006)] (we are reluctant to use "anticoherent" to describe the states, but the name has become commonplace over the last decade). Anticoherent states have garnered much attention in recent years, and we elucidate a geometrical technique for finding new examples of such states. Finally, we discuss the potential for divergences in multiparameter estimation due to singularities in spherical coordinate systems. Our results are useful for a variety of quantum metrology and quantum communication applications.

引用

页数：9

共 64 条

[1] Observation of Gravitational Waves from a Binary Black Hole Merger [J].

Abbott, B. P. ;

Abbott, R. ;

Abbott, T. D. ;

Abernathy, M. R. ;

Acernese, F. ;

Ackley, K. ;

Adams, C. ;

Adams, T. ;

Addesso, P. ;

Adhikari, R. X. ;

Adya, V. B. ;

Affeldt, C. ;

Agathos, M. ;

Agatsuma, K. ;

Aggarwal, N. ;

Aguiar, O. D. ;

Aiello, L. ;

Ain, A. ;

Ajith, P. ;

Allen, B. ;

Allocca, A. ;

Altin, P. A. ;

Anderson, S. B. ;

Anderson, W. G. ;

Arai, K. ;

Arain, M. A. ;

Araya, M. C. ;

Arceneaux, C. C. ;

Areeda, J. S. ;

Arnaud, N. ;

Arun, K. G. ;

Ascenzi, S. ;

Ashton, G. ;

Ast, M. ;

Aston, S. M. ;

Astone, P. ;

Aufmuth, P. ;

Aulbert, C. ;

Babak, S. ;

Bacon, P. ;

Bader, M. K. M. ;

Baker, P. T. ;

Baldaccini, F. ;

Ballardin, G. ;

Ballmer, S. W. ;

Barayoga, J. C. ;

Barclay, S. E. ;

Barish, B. C. ;

Barker, D. ;

Barone, F. .

PHYSICAL REVIEW LETTERS, 2016, 116 (06)

[2]

[Anonymous], 2000, Principles of optics: electromagnetic theory of propagation, interference and diffraction of light

[3]

[Anonymous], THESIS

[4]

[Anonymous], 1955, ADDISON WESLEY SERIE

[5]

[Anonymous], NAT PHYS

[6]

[Anonymous], 1887, AM J SCI

[7] Precision bounds for gradient magnetometry with atomic ensembles [J].

Apellaniz, Iagoba ;

Urizar-Lanz, Inigo ;

Zimboras, Zoltan ;

Hyllus, Philipp ;

Toth, Geza .

PHYSICAL REVIEW A, 2018, 97 (05)

[8] The maximally entangled symmetric state in terms of the geometric measure [J].

Aulbach, Martin ;

Markham, Damian ;

Murao, Mio .

NEW JOURNAL OF PHYSICS, 2010, 12

[9] Aligning reference frames with quantum states -: art. no. 257903 [J].

Bagan, E ;

Baig, M ;

Muñoz-Tapia, R .

PHYSICAL REVIEW LETTERS, 2001, 87 (25) :257903-1

[10] Anticoherence measures for pure spin states [J].

Baguette, D. ;

Martin, J. .

PHYSICAL REVIEW A, 2017, 96 (03)

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