Zero-Transmission Law for Multiport Beam Splitters
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The Hong-Ou-Mandel effect is generalized to a configuration of n bosons prepared in the n input ports of a Bell multiport beam splitter. We derive a strict suppression law for most possible output events, consistent with a generic bosonic behavior after suitable coarse graining.
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The FT and F6^(2) are examples in the more general class of complex Hadamard matrices, which are related to mutually unbiased bases and are of fundamental interest in quantum information theory.
“The FT and F (2) 6 are examples in the more general class of complex Hadamard matrices (CHMs), which are related to mutually unbiased bases [54] and are of fundamental interest in quantum information theory [55].”
From Universal linear optics (2015) · cites this paper as [55]
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A scheme for efficient quantum computation with linear optics
Knill, E., Laflamme, R., & Milburn, G. J. (2001) · Nature · doi:10.1038/35051009 · Cited by 5,880 · see citing works
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 · see citing works
Ryser, H. (1963) · Carus Mathematical Monographs · doi:10.5948/upo9781614440147 · Cited by 969 · see citing works
Shih, Y. H., & Alley, C. O. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2921 · Cited by 917 · see citing works
Quantum-mechanical lossless beam splitter: SU(2) symmetry and photon statistics
Campos, R. A., Saleh, B. E. A., & Teich, M. C. (1989) · Physical Review A · doi:10.1103/physreva.40.1371 · Cited by 633 · see citing works
De Broglie wavelength of a non-local four-photon state
Walther, P., Pan, J.-W., Aspelmeyer, M., Ursin, R., Gasparoni, S., & Zeilinger, A. (2004) · Nature · doi:10.1038/nature02552 · Cited by 555 · see citing works
Entangling independent photons by time measurement
Halder, M., Beveratos, A., Gisin, N., Scarani, V., Simon, C., & Zbinden, H. (2007) · Nature Physics · doi:10.1038/nphys700 · Cited by 301 · see citing works
Realizable higher-dimensional two-particle entanglements via multiport beam splitters
Z-dotukowski, M., Zeilinger, A., & Horne, M. (1997) · Physical Review A · doi:10.1103/physreva.55.2564 · Cited by 261 · see citing works
Observation of Four-Photon Interference with a Beam Splitter by Pulsed Parametric Down-Conversion
Ou, Z. Y., Rhee, J. K., & Wang, L. J. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.959 · Cited by 113 · see citing works
Generalized Hong–Ou–Mandel experiments with bosons and fermions
Lim, Y. L., & Beige, A. (2005) · New Journal of Physics · doi:10.1088/1367-2630/7/1/155 · Cited by 90 · see citing works
Measurement-induced nonlinearity in linear optics
Scheel, S., Nemoto, K., Munro, W. J., & Knight, P. L. (2003) · Physical Review A · doi:10.1103/physreva.68.032310 · Cited by 86 · see citing works
Multiphoton entanglement through a Bell-multiport beam splitter
Lim, Y. L., & Beige, A. (2005) · Physical Review A · doi:10.1103/physreva.71.062311 · Cited by 65 · see citing works
Generation of entangled photon states by using linear optical elements
Zou, X., Pahlke, K., & Mathis, W. M. (2002) · Physical Review A · doi:10.1103/physreva.66.014102 · Cited by 53 · see citing works
Temporal distinguishability of an N -photon state and its characterization by quantum interference
Ou, Z. Y. (2006) · Physical Review A · doi:10.1103/physreva.74.063808 · Cited by 49 · see citing works
Three-photon Hong-Ou-Mandel interference at a multiport mixer
Campos, R. A. (2000) · Physical Review A · doi:10.1103/physreva.62.013809 · Cited by 49 · see citing works
Indistinguishability of independent single photons
Sun, F., & Wong, C. W. (2009) · Physical Review A · doi:10.1103/physreva.79.013824 · Cited by 32 · see citing works
Vourdas, A., & Dunningham, J. (2005) · Physical Review A · doi:10.1103/physreva.71.013809 · Cited by 27 · see citing works
Observation of a generalized bunching effect of six photons
Niu, X.-L., Gong, Y.-X., Liu, B., et al. (2009) · Optics Letters · doi:10.1364/ol.34.001297 · Cited by 24 · see citing works
On the permanent of Schur's matrix
Graham, R. L., & Lehmer, D. H. (1976) · Journal of the Australian Mathematical Society · doi:10.1017/s1446788700019339 · Cited by 15 · see citing works
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Carolan, J., Harrold, C., Sparrow, C., Martín-López, E., Russell, N. J., Silverstone, J. W., Shadbolt, P. J., Matsuda, N., Oguma, M., Itoh, M., et al. (2015) · Science · doi:10.1126/science.aab3642 · Cited by 1,093 · see citing works
Photonic implementation of boson sampling: a review
Brod, D. J., Galvão, E. F., Crespi, A., Osellame, R., Spagnolo, N., & Sciarrino, F. (2019) · Advanced Photonics · doi:10.1117/1.ap.1.3.034001 · Cited by 159 · see citing works
Stringent and Efficient Assessment of Boson-Sampling Devices
Tichy, M. C., Mayer, K., Buchleitner, A., & Mølmer, K. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.020502 · Cited by 127 · see citing works
Self-citation
- Authors
- Tichy, M. C., Tiersch, M., de Melo, F., Mintert, F., & Buchleitner, A.
- Affiliations
- University of Freiburg (DE)
- Austrian Academy of Sciences (AT)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-06-02
- Volume
- 104
- Issue
- 22
- Pages
- 220405-220405
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2115568244
- Cited by
- 126
- References
- 19
- Citations by year
- 2026: 6 · 2025: 11 · 2024: 8 · 2023: 9 · 2022: 6 · 2021: 9 · 2020: 8 · 2019: 7 · 2018: 12 · 2017: 9 · 2016: 14 · 2015: 7 · 2014: 3 · 2013: 9 · 2012: 2
- FWCI
- 2.91
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- Hong-Ou-Mandel interference, coarse-graining, quantum interference
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