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Baker-Campbell-Hausdorff relations and unitarity of SU(2) and SU(1,1) squeeze operators
Abstract
For squeeze operators, an alternative to the matrix derivations of Baker-Campbell-Hausdorff relations is presented for the groups SU(2) and SU(1,1). The technique involves the solution of a system of nonlinear, first-order differential equations. By this method, criteria for unitarity of the representations are established, and these apply to both infinite- and to finite-dimensional representations of these groups.
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Citations
Cited by
SU(2) and SU(1,1) interferometers
Yurke, B., McCall, S. L., & Klauder, J. R. (1986) · Physical Review A · doi:10.1103/physreva.33.4033 · Cited by 1,366
Squeezing as an irreducible resource
Braunstein, S. L. (2005) · Physical Review A · doi:10.1103/physreva.71.055801 · Cited by 507
Multiphoton quantum optics and quantum state engineering
Dell’Anno, F., De Siena, S., & Illuminati, F. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.01.004 · Cited by 310
Introduction to Optical Quantum Information Processing
Kok, P., & Lovett, B. W. (2010) · doi:10.1017/cbo9781139193658 · Cited by 273
Postselected versus nonpostselected quantum teleportation using parametric down-conversion
Kok, P., & Braunstein, S. L. (2000) · Physical Review A · doi:10.1103/physreva.61.042304 · Cited by 174
Metadata
- Authors
- Truax, D. R.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1985-04-15
- Volume
- 31
- Issue
- 8
- Pages
- 1988-1991
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2158048573
- Cited by
- 179
- References
- 0
- FWCI
- 11.32
- Type
- journal article
- Language
- en
- Open access
- closed
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- Truax, D. R. (1985). Baker-Campbell-Hausdorff relations and unitarity of SU(2) and SU(1,1) squeeze operators. Physical Review D. https://doi.org/10.1103/physrevd.31.1988
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