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De Broglie wavelength of a non-local four-photon state
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Superposition is one of the most distinctive features of quantum theory and has been demonstrated in numerous single-particle interference experiments. Quantum entanglement, the coherent superposition of states in multi-particle systems, yields more complex phenomena. One important type of multi-particle experiment uses path-entangled number states, which exhibit pure higher-order interference and the potential for applications in metrology and imaging; these include quantum interferometry and spectroscopy with phase sensitivity at the Heisenberg limit, or quantum lithography beyond the classical diffraction limit. It has been generally understood that in optical implementations of such schemes, lower-order interference effects always decrease the overall performance at higher particle numbers. Such experiments have therefore been limited to two photons. Here we overcome this limitation, demonstrating a four-photon interferometer based on linear optics. We observe interference fringes with a periodicity of one-quarter of the single-photon wavelength, confirming the presence of a four-particle mode-entangled state. We anticipate that this scheme should be extendable to arbitrary photon numbers, holding promise for realizable applications with entanglement-enhanced performance.
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“It was experimentally realized for N = 3 (Mitchell, Lundeen, and Steinberg, 2004) and N = 4 (Walther et al., 2004) (see also other related experiments, Rarity et al., 1990b;Edamatsu et al., 2002;Sun et al., 2006;Nagata et al., 2007).”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Walther et al., 2004
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“However, the experimental preparation of NOON states with large N is extremely challenging, and to date only N=3, 4 and 5 photonic NOON states have been reported2345.”
From Photonic polarization gears for ultra-sensitive angular measurements (2013) · cites this paper as [3]
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Cites
Measurement of subpicosecond time intervals between two photons by interference
Hong, C. K., Ou, Z. Y., & Mandel, L. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.2044 · Cited by 4,369
Die gegenw�rtige Situation in der Quantenmechanik
Schr�dinger, E. (1935) · Die Naturwissenschaften · doi:10.1007/bf01491891 · Cited by 3,392
New High-Intensity Source of Polarization-Entangled Photon Pairs
Kwiat, P. G., Mattle, K., Weinfurter, H., Zeilinger, A., Sergienko, A. V., & Shih, Y. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.4337 · Cited by 3,102
Self-citationQuantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit
Boto, A. N., Kok, P., Abrams, D. S., Braunstein, S. L., Williams, C. P., & Dowling, J. P. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.2733 · Cited by 1,494
Wave–particle duality of C60 molecules
Arndt, M., Nairz, O., Voss-Andreae, J., Keller, C., van der Zouw, G., & Zeilinger, A. (1999) · Nature · doi:10.1038/44348 · Cited by 1,255
Self-citationOptimal frequency measurements with maximally correlated states
Bollinger, J. J., Itano, W. M., Wineland, D. J., & Heinzen, D. J. (1996) · Physical Review A · doi:10.1103/physreva.54.r4649 · Cited by 1,167
Shih, Y. H., & Alley, C. O. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2921 · Cited by 917
Violation of Bell's Inequality and Classical Probability in a Two-Photon Correlation Experiment
Ou, Z. Y., & Mandel, L. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.50 · Cited by 879
Interferometric detection of optical phase shifts at the Heisenberg limit
Holland, M., & Burnett, K. R. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.1355 · Cited by 864
Keith, D. W., Ekstrom, C. R., Turchette, Q. A., et al. (1991) · Physical Review Letters · doi:10.1103/physrevlett.66.2693 · Cited by 583
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Research works printed but not linked: 1
- Lee, H., Kok, P. & Dowling, J. P. in Proc. Sixth Int. Conf. on Quantum Communication, Measurement and Computing (eds Shapiro, J. H. & Hirota, O.) 223–229 (Rinton Press, Princeton, 2002)
Cited by
Sorted by citations
Degen, C. L., Reinhard, F., & Cappellaro, P. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.035002 · Cited by 4,045
Giovannetti, V., Lloyd, S., & Maccone, L. (2011) · Nature Photonics · doi:10.1038/nphoton.2011.35 · Cited by 3,894
O'Brien, J. L., Furusawa, A., & Vučković, J. (2009) · Nature Photonics · doi:10.1038/nphoton.2009.229 · Cited by 2,388
Multiphoton entanglement and interferometry
Pan, J.-W., Chen, Z.-B., Lu, C.-Y., Weinfurter, H., Zeilinger, A., & Żukowski, M. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.777 · Cited by 1,410
“A slight modification of the purification setup can be used for testing two-photon GHZ-type theorem (Chen et al., 2003; Yang et al., 2005) and measuring de Broglie wavelength of a non-local four-photon state (Walther et al., 2004), to mention a few.”
BackgroundMethodSelf-citationExperimental one-way quantum computing
Walther, P., Resch, K. J., Rudolph, T., Schenck, E., Weinfurter, H., Vedral, V., Aspelmeyer, M., & Zeilinger, A. (2005) · Nature · doi:10.1038/nature03347 · Cited by 1,273
“This method exploits a mode-and polarization-entangled four-photon state 26 produced in pulsed-pump spontaneous parametric down conversion (SPDC) (see Methods).”
MethodSelf-citationSilica-on-silicon waveguide quantum circuits
Politi, A., Cryan, M. J., Rarity, J. G., Yu, S., & O'Brien, J. L. (2008) · Science · doi:10.1126/science.1155441 · Cited by 1,084
Quantum optical metrology – the lowdown on high-N00N states
Dowling, J. P. (2008) · Contemporary Physics · doi:10.1080/00107510802091298 · Cited by 894
Beating the Standard Quantum Limit with Four-Entangled Photons
Nagata, T., Okamoto, R., O'Brien, J. L., Sasaki, K., & Takeuchi, S. (2007) · Science · doi:10.1126/science.1138007 · Cited by 735
Entanglement-free Heisenberg-limited phase estimation
Higgins, B. L., Berry, D. W., Bartlett, S. D., Wiseman, H. M., & Pryde, G. J. (2007) · Nature · doi:10.1038/nature06257 · Cited by 628
High-NOON States by Mixing Quantum and Classical Light
Afek, I., Ambar, O., & Silberberg, Y. (2010) · Science · doi:10.1126/science.1188172 · Cited by 588
Quantum metrology with entangled coherent states
Joo, J., Munro, W. J., & Spiller, T. P. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.083601 · Cited by 526
Twin Matter Waves for Interferometry Beyond the Classical Limit
Lücke, B., Scherer, M., Kruse, J., Pezzè, L., Deuretzbacher, F., Hyllus, P., Topic, O., Peise, J., Ertmer, W. A., Arlt, J., et al. (2011) · Science · doi:10.1126/science.1208798 · Cited by 448
Zhong, H.-S., Li, Y., Li, W., Peng, L.-C., Su, Z.-E., Hu, Y., He, Y.-M., Ding, X., Zhang, W., Li, H., et al. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.250505 · Cited by 432
Self-citationPolino, E., Valeri, M., Spagnolo, N., & Sciarrino, F. (2020) · AVS Quantum Science · doi:10.1116/5.0007577 · Cited by 443
Manipulation of multiphoton entanglement in waveguide quantum circuits
Matthews, J. C. F., Politi, A., Stefanov, A., & O'Brien, J. L. (2009) · Nature Photonics · doi:10.1038/nphoton.2009.93 · Cited by 410
Spatial correlations in parametric down-conversion
Walborn, S. P., Monken, C. H., Pádua, S., & Ribeiro, P. H. S. (2010) · Physics Reports · doi:10.1016/j.physrep.2010.06.003 · Cited by 406
Quantum metrology for gravitational wave astronomy
Schnabel, R., Mavalvala, N., McClelland, D. E., & Lam, P. K. (2010) · Nature Communications · doi:10.1038/ncomms1122 · Cited by 387
Photonic polarization gears for ultra-sensitive angular measurements
D'Ambrosio, V., Spagnolo, N., Del Re, L., Slussarenko, S., Li, Y., Kwek, L. C., Marrucci, L., Walborn, S. P., Aolita, L., & Sciarrino, F. (2013) · Nature Communications · doi:10.1038/ncomms3432 · Cited by 351
Multiphoton quantum optics and quantum state engineering
Dell’Anno, F., Siena, S. D., & Illuminati, F. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.01.004 · Cited by 310
Time-Reversal and Super-Resolving Phase Measurements
Resch, K. J., Pregnell, K. L., Prevedel, R., Gilchrist, A., Pryde, G. J., O’Brien, J. L., & White, A. G. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.223601 · Cited by 269
Experimental quantum-enhanced estimation of a lossy phase shift
Kacprowicz, M., Demkowicz-Dobrzański, R., Wasilewski, W., Banaszek, K., & Walmsley, I. A. (2010) · Nature Photonics · doi:10.1038/nphoton.2010.39 · Cited by 256
Supersensitive Polarization Microscopy Using NOON States of Light
Israel, Y., Rosen, S., & Silberberg, Y. R. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.103604 · Cited by 257
Entangled Fock states for robust quantum optical metrology, imaging, and sensing
Huver, S. D., Wildfeuer, C. F., & Dowling, J. P. (2008) · Physical Review A · doi:10.1103/physreva.78.063828 · Cited by 255
Geometric perspective on quantum parameter estimation
Sidhu, J. S., & Kok, P. (2020) · AVS Quantum Science · doi:10.1116/1.5119961 · Cited by 282
Entanglement-enhanced measurement of a completely unknown optical phase
Xiang, G., Higgins, B. L., Berry, D. W., Wiseman, H. M., & Pryde, G. J. (2010) · Nature Photonics · doi:10.1038/nphoton.2010.268 · Cited by 248
Unconditional violation of the shot-noise limit in photonic quantum metrology
Slussarenko, S., Weston, M. M., Chrzanowski, H. M., Shalm, L. K., Verma, V. B., Nam, S. W., & Pryde, G. J. (2017) · Nature Photonics · doi:10.1038/s41566-017-0011-5 · Cited by 239
Two-photon interference: the Hong–Ou–Mandel effect
Bouchard, F., Sit, A., Zhang, Y., Fickler, R., Miatto, F. M., Yao, Y., Sciarrino, F., & Karimi, E. (2021) · Reports on Progress in Physics · doi:10.1088/1361-6633/abcd7a · Cited by 232
Albarelli, F., Barbieri, M., Genoni, M. G., & Gianani, I. (2020) · Physics Letters A · doi:10.1016/j.physleta.2020.126311 · Cited by 235
Attosecond-resolution Hong-Ou-Mandel interferometry
Lyons, A., Knee, G. C., Bolduc, E., Roger, T., Leach, J., Gauger, E. M., & Faccio, D. (2018) · Science Advances · doi:10.1126/sciadv.aap9416 · Cited by 211
Politi, A., Matthews, J., Thompson, M. G., & O'Brien, J. L. (2009) · IEEE Journal of Selected Topics in Quantum Electronics · doi:10.1109/jstqe.2009.2026060 · Cited by 196
How to perform the most accurate possible phase measurements
Berry, D. W., Higgins, B. L., Bartlett, S. D., Mitchell, M. W., Pryde, G. J., & Wiseman, H. M. (2009) · Physical Review A · doi:10.1103/physreva.80.052114 · Cited by 202
Three-photon bosonic coalescence in an integrated tritter
Spagnolo, N., Vitelli, C., Aparo, L., Mataloni, P., Sciarrino, F., Crespi, A., Ramponi, R., & Osellame, R. (2013) · Nature Communications · doi:10.1038/ncomms2616 · Cited by 170
Generation of ultraviolet entangled photons in a semiconductor
Edamatsu, K., Oohata, G., Shimizu, R., & Itoh, T. (2004) · Nature · doi:10.1038/nature02838 · Cited by 181
Beating Rayleigh’s Curse by Imaging Using Phase Information
Tham, W.-K., Ferretti, H., & Steinberg, A. M. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.070801 · Cited by 186
Wei, Y.-J., He, Y.-M., Chen, M.-C., Hu, Y.-N., He, Y., Wu, D., Schneider, C., Kamp, M., Höfling, S., Lu, C.-Y., et al. (2014) · Nano Letters · doi:10.1021/nl503081n · Cited by 169
Self-citationDistributed quantum phase estimation with entangled photons
Liu, L.-Z., Zhang, Y.-Z., Li, Z.-D., Zhang, R., Yin, X.-F., Fei, Y.-Y., Li, L., Liu, N.-L., Xu, F., Chen, Y.-A., et al. (2020) · Nature Photonics · doi:10.1038/s41566-020-00718-2 · Cited by 177
Self-citationCoherent-light-boosted, sub-shot noise, quantum interferometry
Plick, W. N., Dowling, J. P., & Agarwal, G. S. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/8/083014 · Cited by 167
Measuring protein concentration with entangled photons
Crespi, A., Lobino, M., Matthews, J. C. F., Politi, A., Neal, C. R., Ramponi, R., Osellame, R., & O’Brien, J. L. (2012) · Applied Physics Letters · doi:10.1063/1.4724105 · Cited by 161
Superresolution Microscopy with Quantum Emitters
Schwartz, O., Levitt, J. M., Tenne, R., Itzhakov, S., Deutsch, Z., & Oron, D. (2013) · Nano Letters · doi:10.1021/nl402552m · Cited by 155
Lee, C., Lawrie, B., Pooser, R. C., Lee, K.-G., Rockstuhl, C., & Tame, M. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c01028 · Cited by 160
Observation of squeezed states with strong photon-number oscillations
Mehmet, M., Vahlbruch, H., Lastzka, N., Danzmann, K., & Schnabel, R. (2010) · Physical Review A · doi:10.1103/physreva.81.013814 · Cited by 145
Phase-controlled integrated photonic quantum circuits
Smith, B. J., Kundys, D. O., Thomas-Peter, N. L., Smith, P. G. R., & Walmsley, I. A. (2009) · Optics Express · doi:10.1364/oe.17.013516 · Cited by 140
Phase Detection at the Quantum Limit with Multiphoton Mach-Zehnder Interferometry
Pezzè, L., Smerzi, A., Khoury, G., Hodelin, J. F., & Bouwmeester, D. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.223602 · Cited by 138
The parity operator in quantum optical metrology
Gerry, C. C., & Mimih, J. (2010) · Contemporary Physics · doi:10.1080/00107514.2010.509995 · Cited by 136
Not all pure entangled states are useful for sub-shot-noise interferometry
Hyllus, P., Gühne, O., & Smerzi, A. (2010) · Physical Review A · doi:10.1103/physreva.82.012337 · Cited by 137
Adiabatic Mach-Zehnder Interferometry on a Quantized Bose-Josephson Junction
Lee, C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.150402 · Cited by 133
Phase estimation without a priori phase knowledge in the presence of loss
Kołodyński, J., & Demkowicz-Dobrzański, R. (2010) · Physical Review A · doi:10.1103/physreva.82.053804 · Cited by 131
Hyllus, P., Pezzè, L., & Smerzi, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.120501 · Cited by 130
Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
Higgins, B. L., Berry, D. W., Bartlett, S. D., Mitchell, M. W., Wiseman, H. M., & Pryde, G. J. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/7/073023 · Cited by 135
Zero-Transmission Law for Multiport Beam Splitters
Tichy, M. C., Tiersch, M., de Melo, F., Mintert, F., & Buchleitner, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.220405 · Cited by 126
Useful Multiparticle Entanglement and Sub-Shot-Noise Sensitivity in Experimental Phase Estimation
Krischek, R., Schwemmer, C., Wieczorek, W., Weinfurter, H., Hyllus, P., Pezzè, L., & Smerzi, A. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.080504 · Cited by 121
Hofmann, H. F. (2009) · Physical Review A · doi:10.1103/physreva.79.033822 · Cited by 121
Sub-Planck phase-space structures and Heisenberg-limited measurements
Toscano, F., Dalvit, D. A. R., Davidovich, L., & Zurek, W. H. (2006) · Physical Review A · doi:10.1103/physreva.73.023803 · Cited by 137
Quantum methods for clock synchronization: Beating the standard quantum limit without entanglement
de Burgh, M. D., & Bartlett, S. D. (2005) · Physical Review A · doi:10.1103/physreva.72.042301 · Cited by 117
Entangled Photons: Generation, Observation, and Characterization
Edamatsu, K. (2007) · Japanese Journal of Applied Physics · doi:10.1143/jjap.46.7175 · Cited by 118
Barbieri, M. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.010202 · Cited by 125
Precision Quantum Metrology and Nonclassicality in Linear and Nonlinear Detection Schemes
Rivas, ́., & Luis, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.010403 · Cited by 116
Efficient Generation of Large Number-Path Entanglement Using Only Linear Optics and Feed-Forward
Cable, H. V., & Dowling, J. P. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.163604 · Cited by 112
Scalable Spatial Superresolution Using Entangled Photons
Rozema, L. A., Bateman, J. D., Mahler, D. H., Okamoto, R., Feizpour, A., Hayat, A., & Steinberg, A. M. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.223602 · Cited by 107
Hofmann, H. F., & Ono, T. (2007) · Physical Review A · doi:10.1103/physreva.76.031806 · Cited by 104
Ono, T., & Hofmann, H. F. (2010) · Physical Review A · doi:10.1103/physreva.81.033819 · Cited by 101
Beating the standard quantum limit: phase super-sensitivity of N-photon interferometers
Okamoto, R., Hofmann, H. F., Nagata, T., O'Brien, J. L., Sasaki, K., & Takeuchi, S. (2008) · New Journal of Physics · doi:10.1088/1367-2630/10/7/073033 · Cited by 90
Loss-induced limits to phase measurement precision with maximally entangled states
Rubin, M. A., & Kaushik, S. (2007) · Physical Review A · doi:10.1103/physreva.75.053805 · Cited by 100
Efficient generation of graph states for quantum computation
Clark, S. R., Alves, C. M., & Jaksch, D. (2005) · New Journal of Physics · doi:10.1088/1367-2630/7/1/124 · Cited by 97
Towards practical quantum metrology with photon counting
Matthews, J. C. F., Zhou, X., Cable, H. V., Shadbolt, P., Saunders, D. J., Durkin, G. A., Pryde, G. J., & O’Brien, J. L. (2016) · npj Quantum Information · doi:10.1038/npjqi.2016.23 · Cited by 99
Two-photon interference with thermal light
Scarcelli, G., Valencia, A., & Shih, Y. (2004) · Europhysics Letters (EPL) · doi:10.1209/epl/i2004-10280-8 · Cited by 95
Quantum-inspired interferometry with chirped laser pulses
Kaltenbaek, R., Lavoie, J., Biggerstaff, D. N., & Resch, K. J. (2008) · Nature Physics · doi:10.1038/nphys1093 · Cited by 99
Approaching Quantum-Limited Metrology with Imperfect Detectors by Using Weak-Value Amplification
Xu, L., Liu, Z., Datta, A., Knee, G. C., Lundeen, J. S., Lu, Y., & Zhang, L. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.080501 · Cited by 98
Entanglement-based quantum information technology: a tutorial
Zhang, Z., You, C., Magaña‐Loaiza, O. S., Fickler, R., León‐Montiel, R. D. J., Torres, J. P., Humble, T. S., Liu, S., Xia, Y., & Zhuang, Q. (2024) · Advances in Optics and Photonics · doi:10.1364/aop.497143 · Cited by 106
Resonance Fluorescence of GaAs Quantum Dots with Near-Unity Photon Indistinguishability
Schöll, E., Hanschke, L., Schweickert, L., Zeuner, K. D., Reindl, M., da Silva, S. F. C., Lettner, T., Trotta, R., Finley, J. J., Müller, K., et al. (2019) · Nano Letters · doi:10.1021/acs.nanolett.8b05132 · Cited by 94
Heralding Two-Photon and Four-Photon Path Entanglement on a Chip
Matthews, J. C. F., Politi, A., Bonneau, D., & O’Brien, J. L. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.163602 · Cited by 94
Fast-forwarding of Hamiltonians and exponentially precise measurements
Atia, Y., & Aharonov, D. (2017) · Nature Communications · doi:10.1038/s41467-017-01637-7 · Cited by 120
NOON States of Nine Quantized Vibrations in Two Radial Modes of a Trapped Ion
Zhang, J., Um, M., Lv, D., Zhang, J.-N., Duan, L.-M., & Kim, K. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.160502 · Cited by 102
Mesoscopic Ensembles of Polar Bosons in Triple-Well Potentials
Lahaye, T., Pfau, T., & Santos, L. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.170404 · Cited by 90
Observation of Genuine Three-Photon Interference
Agne, S., Kauten, T., Jin, J., Meyer-Scott, E., Salvail, J. Z., Hamel, D. R., Resch, K. J., Weihs, G., & Jennewein, T. D. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.153602 · Cited by 89
Supersensitive measurement of angular displacements using entangled photons
Jha, A. K., Agarwal, G. S., & Boyd, R. W. (2011) · Physical Review A · doi:10.1103/physreva.83.053829 · Cited by 88
Quantum error correction against photon loss using NOON states
Bergmann, M., & van Loock, P. (2016) · Physical Review A · doi:10.1103/physreva.94.012311 · Cited by 82
Magnetic field sensors using 13-spin cat states
Simmons, S., Jones, J. A., Karlen, S. D., Ardavan, A., & Morton, J. J. L. (2010) · Physical Review A · doi:10.1103/physreva.82.022330 · Cited by 81
Improved resolution in fluorescence microscopy using quantum correlations
Schwartz, O., & Oron, D. (2012) · Physical Review A · doi:10.1103/physreva.85.033812 · Cited by 79
Practical measurement of joint weak values and their connection to the annihilation operator
Lundeen, J. S., & Resch, K. J. (2004) · Physics Letters A · doi:10.1016/j.physleta.2004.11.037 · Cited by 80
High-visibility multiphoton interference of Hanbury Brown–Twiss type for classical light
Agafonov, I. N., Chekhova, M. V., Iskhakov, T. S., & Penin, A. N. (2008) · Physical Review A · doi:10.1103/physreva.77.053801 · Cited by 75
Phase sensitivity of a Mach-Zehnder interferometer
Pezzè, L., & Smerzi, A. (2006) · Physical Review A · doi:10.1103/physreva.73.011801 · Cited by 81
Superresolving Multiphoton Interferences with Independent Light Sources
Oppel, S., Büttner, T., Kok, P., & von Zanthier, J. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.233603 · Cited by 78
Entanglement-enhanced optical gyroscope
Fink, M., Steinlechner, F., Handsteiner, J., Dowling, J. P., Scheidl, T., & Ursin, R. (2019) · New Journal of Physics · doi:10.1088/1367-2630/ab1bb2 · Cited by 74
Self-citationWitnessing entanglement without entanglement witness operators
Pezzè, L., Li, Y., Li, W., & Smerzi, A. (2016) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1603346113 · Cited by 71
Quantum-Dot Single-Photon Sources for Entanglement Enhanced Interferometry
Müller, M. A., Vural, H. A., Schneider, C., Rastelli, A., Schmidt, O. G., Höfling, S., & Michler, P. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.257402 · Cited by 78
Quantum Entanglement Concentration Based on Nonlinear Optics for Quantum Communications
Sheng, Y., & Zhou, L. (2013) · Entropy · doi:10.3390/e15051776 · Cited by 73
Nonlinear spectroscopy with entangled photons: Manipulating quantum pathways of matter
Roslyak, O., Marx, C. A., & Mukamel, S. (2009) · Physical Review A · doi:10.1103/physreva.79.033832 · Cited by 74
Quantum Plasmonic Sensing: Beyond the Shot-Noise and Diffraction Limit
Lee, C., Dieleman, F., Lee, J., Rockstuhl, C., Maier, S. A., & Tame, M. (2016) · ACS Photonics · doi:10.1021/acsphotonics.6b00082 · Cited by 73
Nonclassical light and metrological power: An introductory review
Tan, K. C., & Jeong, H. (2019) · AVS Quantum Science · doi:10.1116/1.5126696 · Cited by 78
Quantum Imaging with Incoherent Photons
Thiel, C., Bastin, T., Martin, J., Solano, E., von Zanthier, J., & Agarwal, G. S. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.133603 · Cited by 74
Loss-tolerant state engineering for quantum-enhanced metrology via the reverse Hong–Ou–Mandel effect
Ulanov, A. E., Fedorov, I. A., Sychev, D., Grangier, P., & Lvovsky, A. I. (2016) · Nature Communications · doi:10.1038/ncomms11925 · Cited by 71
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Heralded Generation of an Atomic NOON State
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Metadata
- Authors
- Walther, P., Pan, J.-W., Aspelmeyer, M., Ursin, R., Gasparoni, S., & Zeilinger, A.
- Affiliations
- University of Vienna (AT)
- Corresponding author
- Zeilinger, Anton
- Venue
- Nature
- Published
- 2004-05
- Volume
- 429
- Issue
- 6988
- Pages
- 158-161
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2092899947
- Semantic Scholar
- ea80019dc85701445960d76c6893f2b6a403c5dd
- Cited by
- 555
- References
- 33
- Citations by year
- 2026: 13 · 2025: 18 · 2024: 23 · 2023: 18 · 2022: 16 · 2021: 31 · 2020: 27 · 2019: 24 · 2018: 21 · 2017: 30 · 2016: 30 · 2015: 13 · 2014: 21 · 2013: 23 · 2012: 30
- FWCI
- 28.07
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- higher-order interference, mode entanglement, quantum metrology, quantum lithography, Heisenberg limit
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