Quantum optical Fredkin gate
Abstract
A simple optical model to realize a reversible, potentially error-free logic gate---a Fredkin gate---is discussed. The device dissipates no energy and makes use of the Kerr nonlinearity to produce intensity-dependent phase shifts. The analysis shows that quantum mechanics permits the operation of error-free logic gates which dissipate no energy. However, even though the device is nondissipative, error-free performance only occurs under particular operating conditions.
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Irreversibility and heat generation in the computing process
Landauer, R. (1961) · IBM Journal of Research and Development · doi:10.1147/rd.53.0183 · Cited by 4,980 · see citing works
Logical Reversibility of Computation
Bennett, C. H. (1973) · IBM Journal of Research and Development · doi:10.1147/rd.176.0525 · Cited by 3,679 · see citing works
The Principles of Nonlinear Optics
Welford, W. T. (1985) · Physics Bulletin · doi:10.1088/0031-9112/36/4/046 · Cited by 2,255 · see citing works
The thermodynamics of computation—a review
Bennett, C. H. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02084158 · Cited by 2,006 · see citing works
Fredkin, E., & Toffoli, T. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf01857727 · Cited by 1,896 · see citing works
Quantum limits on noise in linear amplifiers
Caves, C. M. (1982) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.26.1817 · Cited by 1,721 · see citing works
Benioff, P. (1980) · Journal of Statistical Physics · doi:10.1007/bf01011339 · Cited by 1,244 · see citing works
Reversible logic and quantum computers
Peres, A. (1985) · Physical Review A · doi:10.1103/physreva.32.3266 · Cited by 897 · see citing works
Quantum nondemolition measurement of the photon number via the optical Kerr effect
Imoto, N., Haus, H. A., & Yamamoto, Y. (1985) · Physical Review A · doi:10.1103/physreva.32.2287 · Cited by 607 · see citing works
Duguay, M. A., & Hansen, J. W. (1969) · Applied Physics Letters · doi:10.1063/1.1652962 · Cited by 494 · see citing works
Classical and quantum limitations on energy consumption in computation
Likharev, K. K. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf01857733 · Cited by 141 · see citing works
Reversibility and Stability of Information Processing Systems
Zurek, W. H. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.391 · Cited by 111 · see citing works
Porod, W., Grondin, R., Ferry, D. K., et al. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.232 · Cited by 91 · see citing works
Optical-fiber media for squeezed-state generation
Milburn, G. J., Levenson, M. D., Shelby, R. M., et al. (1987) · Journal of the Optical Society of America B · doi:10.1364/josab.4.001476 · Cited by 78 · see citing works
Self-citationComplementarity in a quantum nondemolition measurement
Sanders, B. C., & Milburn, G. J. (1989) · Physical Review A · doi:10.1103/physreva.39.694 · Cited by 76 · see citing works
Self-citationQuantum nondemolition measurements in an optical-fiber ring resonator
Bachor, H., Levenson, M. D., Walls, D. F., et al. (1988) · Physical Review A · doi:10.1103/physreva.38.180 · Cited by 52 · see citing works
Kitagawa, M., Imoto, N., & Yamamoto, Y. (1987) · Physical Review A · doi:10.1103/physreva.35.5270 · Cited by 48 · see citing works
Multistable quantum systems: Information processing at microscopic levels
Obermayer, K., Mahler, G., & Haken, H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1792 · Cited by 33 · see citing works
Quantum-field superpositions via self-phase modulation of coherent wave packets
Kennedy, T. A. B., & Drummond, P. D. (1988) · Physical Review A · doi:10.1103/physreva.38.1319 · Cited by 33 · see citing works
Thermodynamically Reversible Computation
Bennett, C. H. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.1202 · Cited by 31 · see citing works
Commnet on "Dissipation in Computation"
Toffoli, T. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.1204 · Cited by 24 · see citing works
Comment on "Dissipation in Computation"
Benioff, P. A. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.1203 · Cited by 19 · see citing works
Landauer, R. W. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.1205 · Cited by 16 · see citing works
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Sorted by citations
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
Self-citationElementary gates for quantum computation
Barenco, A., Bennett, C. H., Cleve, R., DiVincenzo, D. P., Margolus, N., Shor, P., Sleator, T., Smolin, J. A., & Weinfurter, H. (1995) · Physical Review A · doi:10.1103/physreva.52.3457 · Cited by 4,311 · see citing works
Lloyd, S. (1996) · Science · doi:10.1126/science.273.5278.1073 · Cited by 3,088 · see citing works
DiVincenzo, D. P. (1995) · Science · doi:10.1126/science.270.5234.255 · Cited by 1,651 · see citing works
Lounis, B., & Orrit, M. (2005) · Reports on Progress in Physics · doi:10.1088/0034-4885/68/5/r04 · Cited by 908 · see citing works
Photonic quantum information processing: a concise review
Slussarenko, S., & Pryde, G. J. (2019) · Applied Physics Reviews · doi:10.1063/1.5115814 · Cited by 644 · see citing works
Linear optical controlled-NOT gate in the coincidence basis
Ralph, T. C., Langford, N. K., Bell, T. B., & White, A. G. (2002) · Physical Review A · doi:10.1103/physreva.65.062324 · Cited by 346 · see citing works
Optical simulation of quantum logic
Cerf, N. J., Adami, C., & Kwiat, P. G. (1998) · Physical Review A · doi:10.1103/physreva.57.r1477 · Cited by 324 · see citing works
Temme, K., Osborne, T. J., Vollbrecht, K. G., Poulin, D., & Verstraete, F. (2011) · Nature · doi:10.1038/nature09770 · Cited by 305 · see citing works
Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities
Barrett, S. D., Kok, P., Nemoto, K., Beausoleil, R. G., Munro, W. J., & Spiller, T. P. (2005) · Physical Review A · doi:10.1103/physreva.71.060302 · Cited by 300 · see citing works
Demonstration of an Optical Quantum Controlled-NOT Gate without Path Interference
Okamoto, R., Hofmann, H. F., Takeuchi, S., & Sasaki, K. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.210506 · Cited by 251 · see citing works
Distributed secure quantum machine learning
Sheng, Y.-B., & Zhou, L. (2017) · Science Bulletin · doi:10.1016/j.scib.2017.06.007 · Cited by 245 · see citing works
Simple scheme for efficient linear optics quantum gates
Ralph, T. C., White, A. G., Munro, W. J., & Milburn, G. J. (2001) · Physical Review A · doi:10.1103/physreva.65.012314 · Cited by 205 · see citing works
Self-citationFault-tolerant quantum computation with cluster states
Nielsen, M. A., & Dawson, C. M. (2005) · Physical Review A · doi:10.1103/physreva.71.042323 · Cited by 161 · see citing works
Noise thresholds for optical cluster-state quantum computation
Dawson, C. M., Haselgrove, H. L., & Nielsen, M. A. (2006) · Physical Review A · doi:10.1103/physreva.73.052306 · Cited by 79 · see citing works
A coherent perceptron for all-optical learning
Tezak, N., & Mabuchi, H. (2015) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-015-0023-3 · Cited by 22 · see citing works
Necessary and Sufficient Conditions for Quantum Computation
Lloyd, S. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552341 · Cited by 19 · see citing works
- Authors
- Milburn, G. J.
- Affiliations
- The University of Queensland (AU)
- Corresponding author
- Milburn, G. J.
- ORCID
- Milburn, G. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1989-05-01
- Volume
- 62
- Issue
- 18
- Pages
- 2124-2127
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1999766050
- Cited by
- 440
- References
- 23
- Citations by year
- 2026: 6 · 2025: 11 · 2024: 16 · 2023: 14 · 2022: 14 · 2021: 16 · 2020: 14 · 2019: 15 · 2018: 16 · 2017: 17 · 2016: 31 · 2015: 15 · 2014: 14 · 2013: 21 · 2012: 15
- FWCI
- 3.44
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- Fredkin gate, optical logic gates, Kerr nonlinearity, reversible computation, quantum computing hardware
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