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Crawford J, Dolzhenko D, Keach M, Mueninghoff A, Abrahao RA, Martinez-Rincon J, Stankus P, Vintskevich S, Nomerotski A. Towards quantum telescopes: demonstration of a two-photon interferometer for precision astrometry. OPTICS EXPRESS 2023; 31:44246-44258. [PMID: 38178500 DOI: 10.1364/oe.486342] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/24/2023] [Accepted: 09/06/2023] [Indexed: 01/06/2024]
Abstract
Classical optical interferometry requires maintaining live, phase-stable links between telescope stations. This requirement greatly adds to the cost of extending to long baseline separations and limits on baselines will in turn limit the achievable angular resolution. Here we describe a novel type of two-photon interferometer for astrometry, which uses photons from two separate sky sources and does not require an optical link between stations. Such techniques may make large increases in interferometric baselines practical, even by orders of magnitude, with a corresponding improvement in astrometric precision benefiting numerous fields in astrophysics. We tested a benchtop analogue version of the two-source interferometer and unambiguously observe correlated behavior in detections of photon pairs from two thermal light sources, in agreement with theoretical predictions. This work opens new possibilities in future astronomical measurements.
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Zhao W, Shi R, Huang D. Practical Security Analysis of Reference Pulses for Continuous-Variable Quantum Key Distribution. Sci Rep 2019; 9:18155. [PMID: 31796759 PMCID: PMC6890703 DOI: 10.1038/s41598-019-54249-0] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/12/2019] [Accepted: 10/30/2019] [Indexed: 11/15/2022] Open
Abstract
By manipulating the reference pulses amplitude, a security vulnerability is caused by self-reference continuous-variable quantum key distribution. In this paper, we formalize an attack strategy for reference pulses, showing that the proposed attack can compromise the practical security of CVQKD protocol. In this scheme, before the beam splitter attack, Eve intercepts the reference pulses emitted by Alice, using Bayesian algorithm to estimate phase shifts. Subsequently, other reference pulses are re-prepared and resubmitted to Bob. In simulations, Bayesian algorithm effectively estimates the phase drifts and has the high robustness to noise. Therefore, the eavesdropper can bias the excess noise due to the intercept-resend attack and the beam splitter attack. And Alice and Bob believe that their excess noise is below the null key threshold and can still share a secret key. Consequently, the proposed attack shows that its practical security can be compromised by transmitting the reference pulses in the continuous-variable quantum key distribution protocol.
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Affiliation(s)
- Wei Zhao
- School of Computer Science and Engineering, Central South University, Changsha, 410083, China
| | - Ronghua Shi
- School of Computer Science and Engineering, Central South University, Changsha, 410083, China
| | - Duan Huang
- School of Computer Science and Engineering, Central South University, Changsha, 410083, China.
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Luis A. Nonclassical light revealed by the joint statistics of simultaneous measurements. OPTICS LETTERS 2016; 41:1789-1792. [PMID: 27082346 DOI: 10.1364/ol.41.001789] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Nonclassicality cannot be a single-observable property, since the statistics of any quantum observable is compatible with classical physics. We develop a general procedure to reveal nonclassical behavior of light states from the joint statistics arising in the practical measurement of multiple observables. Beside embracing previous approaches, this protocol can disclose nonclassical features for standard examples of classical-like behavior, such as SU(2) and Glauber coherent states. When combined with other criteria, this would imply that every light state is nonclassical.
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4
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Surmounting intrinsic quantum-measurement uncertainties in Gaussian-state tomography with quadrature squeezing. Sci Rep 2015. [PMID: 26195198 PMCID: PMC4508669 DOI: 10.1038/srep12289] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022] Open
Abstract
We reveal that quadrature squeezing can result in significantly better quantum-estimation performance with quantum heterodyne detection (of H. P. Yuen and J. H. Shapiro) as compared to quantum homodyne detection for Gaussian states, which touches an important aspect in the foundational understanding of these two schemes. Taking single-mode Gaussian states as examples, we show analytically that the competition between the errors incurred during tomogram processing in homodyne detection and the Arthurs-Kelly uncertainties arising from simultaneous incompatible quadrature measurements in heterodyne detection can often lead to the latter giving more accurate estimates. This observation is also partly a manifestation of a fundamental relationship between the respective data uncertainties for the two schemes. In this sense, quadrature squeezing can be used to overcome intrinsic quantum-measurement uncertainties in heterodyne detection.
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Advanced Neutron Imaging and Sensing. ACTA ACUST UNITED AC 2006. [DOI: 10.1016/s1076-5670(05)42002-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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6
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Search CP, Meystre P. Phase conjugation of a quantum-degenerate atomic fermion beam. PHYSICAL REVIEW LETTERS 2003; 91:100401. [PMID: 14525466 DOI: 10.1103/physrevlett.91.100401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/21/2003] [Indexed: 05/24/2023]
Abstract
We discuss the possibility of phase conjugation of an atomic Fermi field via nonlinear wave mixing in an ultracold gas. It is shown that for a beam of fermions incident on an atomic phase-conjugate mirror, a time-reversed backward propagating fermionic beam is generated similar to the case in nonlinear optics. By adopting an operational definition of the phase, we show that it is possible to infer the presence of the phase-conjugate field by the loss of the interference pattern in an atomic interferometer.
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Affiliation(s)
- Chris P Search
- Optical Sciences Center, The University of Arizona, Tucson, Arizona 85721, USA
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Resch KJ, Lundeen JS, Steinberg AM. Quantum state preparation and conditional coherence. PHYSICAL REVIEW LETTERS 2002; 88:113601. [PMID: 11909400 DOI: 10.1103/physrevlett.88.113601] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/13/2001] [Indexed: 05/23/2023]
Abstract
It is well known that spontaneous parametric down-conversion can be used to probabilistically prepare single-photon states. We have performed an experiment in which arbitrary superpositions of zero- and one-photon states can be prepared by appropriate postselection. The optical phase, which is meaningful only for superpositions of photon number, is related to the relative phase between the zero- and one-photon states. Whereas the light from spontaneous parametric down-conversion has an undefined phase, we show that this technique collapses one beam to a state of well-defined optical phase when a measurement succeeds on the other beam.
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Affiliation(s)
- K J Resch
- Department of Physics, University of Toronto, 60 St. George Street, Toronto ON M5S 1A7, Canada
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Trifonov A, Tsegaye T, Björk G, Söderholm J, Goobar E, Atatüre M, Sergienko AV. Experimental demonstration of the relative phase operator. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/1464-4266/2/2/307] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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9
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Alodjants AP, Arakelian SM, Chirkin AS. Interaction of two polarization modes in a spatio-periodic nonlinear medium: generation of polarization-squeezed light and quantum non-demolition measurements of the Stokes parameters. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/1355-5111/9/3/006] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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10
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11
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12
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13
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Freyberger M, Vogel K, Schleich W. Quantum phase from photon counting and the Q-function. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0954-8998/5/2/001] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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14
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D'Ariano GM, Macchiavello C, Sterpi N, Yuen HP. Quantum phase amplification. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:4712-4718. [PMID: 9914036 DOI: 10.1103/physreva.54.4712] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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15
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D'Ariano GM, Paris MG, Seno R. Feedback-assisted homodyne detection of phase shifts. PHYSICAL REVIEW A 1996; 54:4495-4504. [PMID: 9914002 DOI: 10.1103/physreva.54.4495] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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16
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Hakioglu T, Arik M. Quantum stereographic projection and the homographic oscillator. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:52-56. [PMID: 9913457 DOI: 10.1103/physreva.54.52] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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17
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Zucchetti A, Vogel W, Welsch D. Quantum-state homodyne measurement with vacuum ports. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:856-862. [PMID: 9913542 DOI: 10.1103/physreva.54.856] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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18
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Banaszek K, Wódkiewicz K. Direct probing of quantum phase space by photon counting. PHYSICAL REVIEW LETTERS 1996; 76:4344-4347. [PMID: 10061266 DOI: 10.1103/physrevlett.76.4344] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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19
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Hradil Z, Myska R, Perina J, Zawisky M, Hasegawa Y, Rauch H. Quantum phase in interferometry. PHYSICAL REVIEW LETTERS 1996; 76:4295-4298. [PMID: 10061254 DOI: 10.1103/physrevlett.76.4295] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Wallentowitz S, Vogel W. Unbalanced homodyning for quantum state measurements. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:4528-4533. [PMID: 9913427 DOI: 10.1103/physreva.53.4528] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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21
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Hradil Z, Myska R, Opatrn T, Bajer J. Entropy of phase measurement: Quantum phase via quadrature measurement. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:3738-3742. [PMID: 9913331 DOI: 10.1103/physreva.53.3738] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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22
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Torgerson JR, Mandel L. Is there a unique operator for the phase difference of two quantum fields? PHYSICAL REVIEW LETTERS 1996; 76:3939-3942. [PMID: 10061151 DOI: 10.1103/physrevlett.76.3939] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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23
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Kosteleck VA, Tudose B. Minimum-uncertainty angular wave packets and quantized mean values. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:1978-1981. [PMID: 9913098 DOI: 10.1103/physreva.53.1978] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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24
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Paris MG. Quantum state measurement by realistic heterodyne detection. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:2658-2663. [PMID: 9913179 DOI: 10.1103/physreva.53.2658] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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25
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Luis A, Sánchez-Soto LL. Probability distributions for the phase difference. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:495-501. [PMID: 9912907 DOI: 10.1103/physreva.53.495] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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26
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Englert BG, Wódkiewicz K, Riegler P. Intrinsic phase operator of the Noh-Fougères-Mandel experiments. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 52:1704-1711. [PMID: 9912411 DOI: 10.1103/physreva.52.1704] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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27
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Kühn H, Welsch D, Vogel W. Reconstruction of the quantum state of multimode light. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:4240-4249. [PMID: 9912100 DOI: 10.1103/physreva.51.4240] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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28
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FRANSON JD. The Entanglement of Virtual Photonsa. Ann N Y Acad Sci 1995. [DOI: 10.1111/j.1749-6632.1995.tb39006.x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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29
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Englert BG, Wódkiewicz K. Intrinsic and operational observables in quantum mechanics. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:R2661-R2664. [PMID: 9911989 DOI: 10.1103/physreva.51.r2661] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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30
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Hradil Z. Estimation of counted quantum phase. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:1870-1873. [PMID: 9911796 DOI: 10.1103/physreva.51.1870] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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31
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Buzek V, Keitel CH, Knight PL. Sampling entropies and operational phase-space measurement. I. General formalism. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:2575-2593. [PMID: 9911874 DOI: 10.1103/physreva.51.2575] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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32
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Nelson CA, Fields MH. Number and phase uncertainties of the q-analog quantized field. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:2410-2429. [PMID: 9911859 DOI: 10.1103/physreva.51.2410] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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33
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Franson JD. Dynamic phase of the electromagnetic field. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:2371-2380. [PMID: 9911856 DOI: 10.1103/physreva.51.2371] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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34
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Hillery M, Freyberger M, Schleich W. Phase distributions and large-amplitude states. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:1792-1803. [PMID: 9911786 DOI: 10.1103/physreva.51.1792] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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35
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Luis A, Sánchez-Soto LL. Reply to "Comment on 'Phase-difference operator' ". PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:861-863. [PMID: 9911652 DOI: 10.1103/physreva.51.861] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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36
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Leonhardt U, Vaccaro JA, Böhmer B, Paul H. Canonical and measured phase distributions. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:84-95. [PMID: 9911559 DOI: 10.1103/physreva.51.84] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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37
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Banks T, Dine M. Coping with strongly coupled string theory. PHYSICAL REVIEW. D, PARTICLES AND FIELDS 1994; 50:7454-7466. [PMID: 10017731 DOI: 10.1103/physrevd.50.7454] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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38
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Zawisky M, Rauch H, Hasegawa Y. Contrast enhancement by time selection in neutron interferometry. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:5000-5006. [PMID: 9911500 DOI: 10.1103/physreva.50.5000] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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39
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Fougères A, Monken CH, Mandel L. Measurements of the probability distribution of the phase difference between two quantum fields. OPTICS LETTERS 1994; 19:1771-1773. [PMID: 19855650 DOI: 10.1364/ol.19.001771] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
We have measured the probability distribution of the phase difference Phi(2) - Phi(1) between two signal fields produced by parametric downconversion from two cascaded nonlinear crystals for several different values of the degree of mutual coherence. The experimental results are compared with theory, based on our operational approach to phase operators for quantum fields, and good agreement is obtained. These results are of interest because they constitute what we believe is the first experimental test of our phase theory for nonclassical states of light.
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40
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Busch P, Grabowski M, Lahti PJ. Phase statistics and phase-space measurements. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:2881-2884. [PMID: 9911227 DOI: 10.1103/physreva.50.2881] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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41
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Ban M. Unitary equivalence between ideal and feasible phases. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:2785-2787. [PMID: 9911207 DOI: 10.1103/physreva.50.2785] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Reck M, Zeilinger A, Bernstein HJ, Bertani P. Experimental realization of any discrete unitary operator. PHYSICAL REVIEW LETTERS 1994; 73:58-61. [PMID: 10056719 DOI: 10.1103/physrevlett.73.58] [Citation(s) in RCA: 282] [Impact Index Per Article: 9.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/14/2023]
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43
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Leonhardt U, Paul H. High-accuracy optical homodyne detection with low-efficiency detectors: "Preamplification" from antisqueezing. PHYSICAL REVIEW LETTERS 1994; 72:4086-4089. [PMID: 10056378 DOI: 10.1103/physrevlett.72.4086] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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44
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Bandilla A, Ritze H. Very small optimized phase uncertainties of two-photon coherent states. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:4912-4915. [PMID: 9910810 DOI: 10.1103/physreva.49.4912] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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45
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Franson JD. Nonlocal reduction of the wave function by quantum phase measurements. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:3221-3228. [PMID: 9910619 DOI: 10.1103/physreva.49.3221] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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46
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D'Ariano GM, Paris MG. Lower bounds on phase sensitivity in ideal and feasible measurements. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:3022-3036. [PMID: 9910585 DOI: 10.1103/physreva.49.3022] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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47
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Riegler P, Wódkiewicz K. Phase-space representation of operational phase operators. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:1387-1391. [PMID: 9910372 DOI: 10.1103/physreva.49.1387] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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48
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Fougères A, Noh JW, Grayson TP, Mandel L. Measurement of phase differences between two partially coherent fields. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:530-534. [PMID: 9910258 DOI: 10.1103/physreva.49.530] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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49
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Raymer MG, Cooper J, Beck M. Many-port homodyne detection of an optical phase. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 48:4617-4628. [PMID: 9910170 DOI: 10.1103/physreva.48.4617] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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50
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D'Ariano GM, Paris MG. Necessity of sine-cosine joint measurement. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 48:4039-4042. [PMID: 9910098 DOI: 10.1103/physreva.48.r4039] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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