Optimum phase-shift estimation and the quantum description of the phase difference
| dc.contributor.author | Luis Aina, Alfredo | |
| dc.contributor.author | Peřina, J. | |
| dc.date.accessioned | 2023-06-20T20:09:59Z | |
| dc.date.available | 2023-06-20T20:09:59Z | |
| dc.date.issued | 1996-11 | |
| dc.description | © 1996 The American Physical Society. A.L. acknowledges the support of a grant from the Dirección General de Investigación Científica y Técnica del Ministerio Español de Educación y Ciencia and the kind hospitality from the Optics Department of the Palacký University. | |
| dc.description.abstract | The problem of a correct quantum description of the phase difference is examined from the perspective of parameter estimation theory. It is shown that an optimum phase-shift measurement defines a phase difference operator which coincides with other approaches to the same problem. We also study the fundamental limit to the accuracy of a phase difference shift detection. We show that this limit can be reached by a measurement having countable outcomes despite the fact that a phase shift can take any value. We show that this is the case of the phase difference operator defined by an optimum phase-shift measurement. | |
| dc.description.department | Depto. de Óptica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Educación y Ciencia (MEC), España | |
| dc.description.sponsorship | Dirección General de Investigación Científica y Técnica (DGICYT), España | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/32864 | |
| dc.identifier.doi | 10.1103/PhysRevA.54.4564 | |
| dc.identifier.issn | 1050-2947 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevA.54.4564 | |
| dc.identifier.relatedurl | http://journals.aps.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59726 | |
| dc.issue.number | 5 | |
| dc.journal.title | Physical review A | |
| dc.language.iso | eng | |
| dc.page.final | 4570 | |
| dc.page.initial | 4564 | |
| dc.publisher | American Physical Society | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 535 | |
| dc.subject.keyword | Optical-phase | |
| dc.subject.keyword | Operator | |
| dc.subject.keyword | Uncertainty | |
| dc.subject.keyword | States | |
| dc.subject.keyword | Light | |
| dc.subject.ucm | Óptica (Física) | |
| dc.subject.unesco | 2209.19 Óptica Física | |
| dc.title | Optimum phase-shift estimation and the quantum description of the phase difference | |
| dc.type | journal article | |
| dc.volume.number | 54 | |
| dcterms.references | [1] P. Carruthers and M. M. Nieto, Rev. Mod. Phys. 40, 411 (1968). [2] J. Bergou and B. G. Englert, Ann. Phys. (N.Y.) 209, 479 (1991); Special issue on quantum phase, Phys. Scr. T48 (1993); A. Lukš and V. Peřinová, Quantum Opt. 6, 125 (1994); R. Lynch, Phys. Rep. 256, 367 (1995). [3] U. Leonhardt, J. A. Vaccaro, B. Böhmer, and H. Paul, Phys. Rev. A 51, 84 (1995); M. J. W. Hall, Quantum Opt. 3, 7 (1991). [4] C. W. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976). [5] J. H. Shapiro and S. R. Shepard, Phys. Rev. A 43, 3795 (1991); M. J. W. Hall and I. G. Fuss, Quantum Opt. 3, 147 (1991). [6] A. Luis and L. L. Sánchez-Soto, Phys. Rev A 48, 4702 (1993); L. L. Sánchez-Soto and A. Luis, Opt. Commun. 105, 84 (1994). [7] A. Luis and L. L. Sánchez-Soto, Phys. Rev A 53, 495 (1996); Acta Phys. Slov. 45, 387 (1995). [8] A. Bandilla, H. Paul, and H. H. Ritze, Quantum Opt. 3, 267 (1991). [9] Z. Hradil, Quantum Opt. 4, 93 (1992). [10] A. S. Lane, S. L. Braunstein, and C. M. Caves, Phys. Rev. A 47, 1667 (1993). [11] J. Peřina, Z. Hradil, and B. Jurčo, Quantum Optics and Fundamentals of Physics (Kluwer, Dordrecht, 1994). [12] H. P. Yuen, Phys. Lett. 91A, 101 (1982). [13] A. Luis and J. Peřina, Quantum Semiclass. Opt. 8, 873 (1996). [14] B. C. Sanders and G. J. Milburn, Phys. Rev. Lett. 75, 2944 (1995); Z. Hradil, R. Myška, J. Peřina, M. Zawisky, Y. Hasegawa, and H. Rauch, ibid. 76, 4295 (1996). [15] Z. Hradil, Phys. Rev. A 46, R2217 (1992). [16] J. M. Lévy-Leblond, Ann. Phys. (N.Y.) 101, 319 (1996). [17] T. Opatrný, J. Phys. A 27, 7201 (1994); A. Lukš and V. Peřinová, Czech. J. Phys. 41, 1205 (1991). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | b6f1fe2b-ee48-4add-bb0d-ffcbfad10da2 | |
| relation.isAuthorOfPublication.latestForDiscovery | b6f1fe2b-ee48-4add-bb0d-ffcbfad10da2 |
Download
Original bundle
1 - 1 of 1
