Abstract
A new derivation of the canonical description of optical phase is given, and it is shown that any covariant method of phase estimation (such as heterodyne phase detection) may be interpreted as a noisy measurement of canonical phase. An important example is Gaussian noise, and it is demonstrated that phase-based communication is relatively robust with respect to such noise. A second example is homogenous phase noise (including standard phase diffusion), which has interesting connections with Lorentzian lineshapes and coherent phase states.
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References
C W Helstrom Int. J. Theoret. Phys. 11(1974) 357; V P Belavkin Radio Engng Electron. Phys. 29 (1) (1976) 78.
A S Holevo Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982) Sec. II, IV.
J H Shapiro and S R Shepard Phys. Rev. A 43 (1991) 3795.
J M Levy-Leblond Ann. Phys. 101 (1976) 319.
D T Pegg and S M Barnett Phys. Rev. A 39 (1989) 1665.
M J W Hall J. Mod. Opt. 40 (1993) 809.
W H Louise11 Quantum Statistical Properties of Radiation (Wiley, New York, 1973) Sec. 1.10.
M J W Hall and I G Fuss Quantum Opt. 3 (1991) 147.
J W Noh, A Fougères and L Mandel Phys. Rev. A 45 (1992) 424.
M Freyberger and W Schleich Phys. Rev. A 47 (1993) R30, Eq.(16).
K Kraus States, Effects and Operations in Lecture Notes in Physics vol.190 (Springer, Berlin, 1983).
M J W Hall Phys. Rev. A 50 (1994) 3295.
M J W Hall and M J O’Rourke Quantum Opt. 5 (1993)161; M J W Hall Phys. Rev. A 49 (1994) 42; see also A Vourdas Phys. Rev. A 34 (1986) 3466 and C W Helstrom J. Math. Phys. 20 (1979) 2063.
A Kossakowski: Rep. Math. Phys. 3 (1972) 247 Sec.4,5.
See Sec. 6.7, 9.6 of Ref.[7]; also R J Glauber in Quantum Optics and Electronics (Gordon and Breach, New York, 1965) edited by C DeWitt et al, pp.63–185, Lecture XV.
V P Belavkin and C Bendjaballah: Quantum Opt. 6 (1994) 169.
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Hall, M.J.W. (1995). Phase and Noise. In: Belavkin, V.P., Hirota, O., Hudson, R.L. (eds) Quantum Communications and Measurement. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1391-3_5
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DOI: https://doi.org/10.1007/978-1-4899-1391-3_5
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