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On the Simultaneous Measurement of a Pair of Conjugate Observables
Abstract
A precise theory of the simultaneous meaSllrement of a pair of conjugate observables is necessary for obtaining the classical limit from the quantum theory, for determining the limitations of coherent quantum mechanical amplifiers, etc. The uncertainty principle, of course, does not directly address this problem, since it is a statement about the variances of two hypothetical ideal measurements. We will adopt the approach that there exist instantaneous inexplicable ideal measurements of a single observable. Just as von Neumann1uses an ideal measurements together with all interaction to explain an indirect observation, we use ideal measurements together with iuteractions to explain the simultaneous measurements of an observable and its conjugate.
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Citations
Cited by
Quantum information with continuous variables
Braunstein, S. L., & van Loock, P. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.513 · Cited by 3,858
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
Teleportation of Continuous Quantum Variables
Braunstein, S. L., & Kimble, H. J. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.869 · Cited by 1,766
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 567
Multiple-parameter quantum estimation and measurement of nonselfadjoint observables
Yuen, H., & Lax, M. (1973) · IEEE Transactions on Information Theory · doi:10.1109/tit.1973.1055103 · Cited by 254
Metadata
- Authors
- Arthurs, E., & Kelly, J. L.
- Venue
- Bell System Technical Journal
- Published
- 1965-04
- Volume
- 44
- Issue
- 4
- Pages
- 725-729
- ISSN
- 0005-8580 (ISSN-L)
- OpenAlex
- W2249970638
- Cited by
- 481
- References
- 0
- FWCI
- 1.63
- Type
- journal article
- Language
- en
- Open access
- closed
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