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SU(2) and SU(1,1) interferometers
Abstract
A Lie-group-theoretical approach to the analysis of interferometers is presented. Conventional interferometers such as the Mach-Zehnder and Fabry-Perot can be characterized by SU(2). We introduce a class of interferometers characterized by SU(1,1). These interferometers employ active elements such as four-wave mixers or degenerate-parametric amplifiers in their construction. Both the SU(2) and SU(1,1) interferometers can in principle achieve a phase sensitivity \ensuremath{\Delta}\ensuremath{\varphi} approaching 1/N, where N is the total number of quanta entering the interferometer, provided that the light entering the input ports is prepared in a suitable quantum state. SU(1,1) interferometers can achieve this sensitivity with fewer optical elements.
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Citations
Cites
Quantum-mechanical noise in an interferometer
Caves, C. M. (1981) · Physical Review D · doi:10.1103/physrevd.23.1693 · Cited by 3,202
Cited by
Giovannetti, V., Lloyd, S., & Maccone, L. (2011) · Nature Photonics · doi:10.1038/nphoton.2011.35 · Cited by 3,894
Unconditional Quantum Teleportation
Furusawa, A., Sørensen, J. L., Braunstein, S. L., Fuchs, C. A., Kimble, H. J., & Polzik, E. S. (1998) · Science · doi:10.1126/science.282.5389.706 · Cited by 3,005
Giovannetti, V., Lloyd, S., & Maccone, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.010401 · Cited by 2,440
O'Brien, J. L., Furusawa, A., & Vučković, J. (2009) · Nature Photonics · doi:10.1038/nphoton.2009.229 · Cited by 2,388
Experimental realization of any discrete unitary operator
Reck, M., Zeilinger, A., Bernstein, H. J., & Bertani, P. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.58 · Cited by 2,155
Metadata
- Authors
- Yurke, B., McCall, S. L., & Klauder, J. R.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1986-06-01
- Volume
- 33
- Issue
- 6
- Pages
- 4033-4054
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2033666272
- Cited by
- 1,366
- References
- 1
- FWCI
- 9.69
- Type
- journal article
- Language
- en
- Open access
- closed
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- Yurke, B., McCall, S. L., & Klauder, J. R. (1986). SU(2) and SU(1,1) interferometers. Physical Review A. https://doi.org/10.1103/physreva.33.4033
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