The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications
Abstract
Using the description of the linear phase insensitive amplification of a quantum state available in the literature we prove that to every state rho(t), produced from the initial state rho(0) by such amplification, there corresponds a phase space distribution lambda(2)D(0)(lambda(q), lambda p), where D-0(q, p) is the Husimi function of the initial state. The scaling parameter lambda satisfies the relation 0 LT lambda LT 1 and decreases with time while, as we have shown earlier, the scaled function is again a Husimi distribution. We prove, using these facts, that if the definition of the phase insensitive amplification is physically correct then the distribution of the phase of a state is unambiguously given as the corresponding marginal distribution obtained from its Husimi distribution represented in polar coordinates.
Source:
Journal of Physics. A: Mathematical and General, 1996, 29, 14, 3787-3794
DOI: 10.1088/0305-4470/29/14/007
ISSN: 0305-4470
WoS: A1996VA53200007
Scopus: 2-s2.0-21344448573
Institution/Community
VinčaTY - JOUR AU - Davidović, Dragomir M. AU - Lalović, Dragutin I. PY - 1996 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2002 AB - Using the description of the linear phase insensitive amplification of a quantum state available in the literature we prove that to every state rho(t), produced from the initial state rho(0) by such amplification, there corresponds a phase space distribution lambda(2)D(0)(lambda(q), lambda p), where D-0(q, p) is the Husimi function of the initial state. The scaling parameter lambda satisfies the relation 0 LT lambda LT 1 and decreases with time while, as we have shown earlier, the scaled function is again a Husimi distribution. We prove, using these facts, that if the definition of the phase insensitive amplification is physically correct then the distribution of the phase of a state is unambiguously given as the corresponding marginal distribution obtained from its Husimi distribution represented in polar coordinates. T2 - Journal of Physics. A: Mathematical and General T1 - The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications VL - 29 IS - 14 SP - 3787 EP - 3794 DO - 10.1088/0305-4470/29/14/007 ER -
@article{ author = "Davidović, Dragomir M. and Lalović, Dragutin I.", year = "1996", abstract = "Using the description of the linear phase insensitive amplification of a quantum state available in the literature we prove that to every state rho(t), produced from the initial state rho(0) by such amplification, there corresponds a phase space distribution lambda(2)D(0)(lambda(q), lambda p), where D-0(q, p) is the Husimi function of the initial state. The scaling parameter lambda satisfies the relation 0 LT lambda LT 1 and decreases with time while, as we have shown earlier, the scaled function is again a Husimi distribution. We prove, using these facts, that if the definition of the phase insensitive amplification is physically correct then the distribution of the phase of a state is unambiguously given as the corresponding marginal distribution obtained from its Husimi distribution represented in polar coordinates.", journal = "Journal of Physics. A: Mathematical and General", title = "The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications", volume = "29", number = "14", pages = "3787-3794", doi = "10.1088/0305-4470/29/14/007" }
Davidović, D. M.,& Lalović, D. I.. (1996). The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications. in Journal of Physics. A: Mathematical and General, 29(14), 3787-3794. https://doi.org/10.1088/0305-4470/29/14/007
Davidović DM, Lalović DI. The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications. in Journal of Physics. A: Mathematical and General. 1996;29(14):3787-3794. doi:10.1088/0305-4470/29/14/007 .
Davidović, Dragomir M., Lalović, Dragutin I., "The relation between the scaling of Husimi functions and the linear phase insensitive amplification of the corresponding quantum states and its implications" in Journal of Physics. A: Mathematical and General, 29, no. 14 (1996):3787-3794, https://doi.org/10.1088/0305-4470/29/14/007 . .