Single- versus two-parameter Fisher information in quantum interferometry

被引：32

作者：

Ataman, Stefan ^{[1
]}

机构：

[1] Horia Hulubei Natl R&D Inst Phys & Nucl Engn IFIN, Extreme Light Infrastruct Nucl Phys ELI NP, 30 Reactorului St, Magurele 077125, Jud Ilfov, Romania

来源：

PHYSICAL REVIEW A | 2020年 / 102卷 / 01期

关键词：

2-PHOTON COHERENT STATES; NOISE; SENSITIVITY; DETECTOR;

D O I：

10.1103/PhysRevA.102.013704

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper we reconsider the single-parameter quantum Fisher information (QFI) and compare it with the two-parameter one. We find simple relations connecting the single-parameter QFI (both in the asymmetric and symmetric phase shift cases) to the two-parameter Fisher matrix coefficients. Following some clarifications about the role of an external phase [Phys. Rev. A 85, 011801(R) (2012)], the single-parameter QFI and its overoptimistic predictions have been disregarded in the literature. We show in this paper that both the single- and two-parameter QFI have physical meaning, and their predicted quantum Cramer-Rao bounds are often attainable with the appropriate experimental setup. Moreover, we give practical situations of interest in quantum metrology, where the phase sensitivities of a number of input states approach the quantum Cramer-Rao bound induced by the single-parameter QFI, outperforming the two-parameter QFI.

引用

页数：16

共 59 条

[1]

Aasi J, 2013, NAT PHOTONICS, V7, P613, DOI [10.1038/NPHOTON.2013.177, 10.1038/nphoton.2013.177]

[2] Search for Tensor, Vector, and Scalar Polarizations in the Stochastic Gravitational-Wave Background [J].

Abbott, B. P. ;

Abbott, R. ;

Abbott, T. D. ;

Acernese, F. ;

Ackley, K. ;

Adams, C. ;

Adams, T. ;

Addesso, P. ;

Adhikari, R. X. ;

Adya, V. B. ;

Affeldt, C. ;

Afrough, M. ;

Agarwal, B. ;

Agathos, M. ;

Agatsuma, K. ;

Aggarwal, N. ;

Aguiar, O. D. ;

Aiello, L. ;

Ain, A. ;

Ajith, P. ;

Allen, B. ;

Allen, G. ;

Allocca, A. ;

Altin, P. A. ;

Amato, A. ;

Ananyeva, A. ;

Anderson, S. B. ;

Anderson, W. G. ;

Angelova, S., V ;

Antier, S. ;

Appert, S. ;

Arai, K. ;

Araya, M. C. ;

Areeda, J. S. ;

Arnaud, N. ;

Ascenzi, S. ;

Ashton, G. ;

Ast, M. ;

Aston, S. M. ;

Astone, P. ;

Atallah, D., V ;

Aufmuth, P. ;

Aulbert, C. ;

AultONeal, K. ;

Austin, C. ;

Avila-Alvarez, A. ;

Babak, S. ;

Bacon, P. ;

Bader, M. K. M. ;

Bae, S. .

PHYSICAL REVIEW LETTERS, 2018, 120 (20)

[3] LIGO: the Laser Interferometer Gravitational-Wave Observatory [J].

Abbott, B. P. ;

Abbott, R. ;

Adhikari, R. ;

Ajith, P. ;

Allen, B. ;

Allen, G. ;

Amin, R. S. ;

Anderson, S. B. ;

Anderson, W. G. ;

Arain, M. A. ;

Araya, M. ;

Armandula, H. ;

Armor, P. ;

Aso, Y. ;

Aston, S. ;

Aufmuth, P. ;

Aulbert, C. ;

Babak, S. ;

Baker, P. ;

Ballmer, S. ;

Barker, C. ;

Barker, D. ;

Barr, B. ;

Barriga, P. ;

Barsotti, L. ;

Barton, M. A. ;

Bartos, I. ;

Bassiri, R. ;

Bastarrika, M. ;

Behnke, B. ;

Benacquista, M. ;

Betzwieser, J. ;

Beyersdorf, P. T. ;

Bilenko, I. A. ;

Billingsley, G. ;

Biswas, R. ;

Black, E. ;

Blackburn, J. K. ;

Blackburn, L. ;

Blair, D. ;

Bland, B. ;

Bodiya, T. P. ;

Bogue, L. ;

Bork, R. ;

Boschi, V. ;

Bose, S. ;

Brady, P. R. ;

Braginsky, V. B. ;

Brau, J. E. ;

Bridges, D. O. .

REPORTS ON PROGRESS IN PHYSICS, 2009, 72 (07)

[4] Reconstruction of the gravitational wave signal h(t) during the Virgo science runs and independent validation with a photon calibrator [J].

Accadia, T. ;

Acernese, F. ;

Agathos, M. ;

Allocca, A. ;

Astone, P. ;

Ballardin, G. ;

Barone, F. ;

Barsuglia, M. ;

Basti, A. ;

Bauer, Th S. ;

Bejger, M. ;

Beker, M. G. ;

Belczynski, C. ;

Bersanetti, D. ;

Bertolini, A. ;

Bitossi, M. ;

Bizouard, M. A. ;

Blom, M. ;

Boer, M. ;

Bondu, F. ;

Bonelli, L. ;

Bonnand, R. ;

Boschi, V. ;

Bosi, L. ;

Bradaschia, C. ;

Branchesi, M. ;

Briant, T. ;

Brillet, A. ;

Brisson, V. ;

Bulik, T. ;

Bulten, H. J. ;

Buskulic, D. ;

Buy, C. ;

Cagnoli, G. ;

Calloni, E. ;

Canuel, B. ;

Carbognani, F. ;

Cavalier, F. ;

Cavalieri, R. ;

Cella, G. ;

Cesarini, E. ;

Chassande-Mottin, E. ;

Chincarini, A. ;

Chiummo, A. ;

Cleva, F. ;

Coccia, E. ;

Cohadon, P. F. ;

Colla, A. ;

Colombini, M. ;

Conte, A. .

CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (16)

[5]

Agarwal GS, 2013, QUANTUM OPTICS, P1

[6] 30 years of squeezed light generation [J].

Andersen, Ulrik L. ;

Gehring, Tobias ;

Marquardt, Christoph ;

Leuchs, Gerd .

PHYSICA SCRIPTA, 2016, 91 (05)

[7] Optimal Mach-Zehnder phase sensitivity with Gaussian states [J].

Ataman, Stefan .

PHYSICAL REVIEW A, 2019, 100 (06)

[8] Phase sensitivity of a Mach-Zehnder interferometer with single-intensity and difference-intensity detection [J].

Ataman, Stefan ;

Preda, Anca ;

Ionicioiu, Radu .

PHYSICAL REVIEW A, 2018, 98 (04)

[9] Ultimate quantum limits for resolution of beam displacements [J].

Barnett, SM ;

Fabre, C ;

Maître, A .

EUROPEAN PHYSICAL JOURNAL D, 2003, 22 (03) :513-519

[10] STATISTICAL DISTANCE AND THE GEOMETRY OF QUANTUM STATES [J].

BRAUNSTEIN, SL ;

CAVES, CM .

PHYSICAL REVIEW LETTERS, 1994, 72 (22) :3439-3443

← 1 2 3 4 5 6 →