Coherent states and the reconstruction of pure spin states

S. Weigert; Jean-Pierre Amiet

doi:10.1088/1464-4266/1/5/101

Coherent states and the reconstruction of pure spin states

S. Weigert, Jean-Pierre Amiet

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Coherent states provide an appealing method to reconstruct efficiently the pure state of a quantum mechanical spin s. A Stern-Gerlach apparatus is used to measure (4s + 1) expectations of projection operators on appropriate coherent states in the unknown state. These measurements are compatible with a finite number of states which can be distinguished, in the generic case, by measuring one more probability. In addition, the present technique shows that the zeros of a Husimi distribution do have an operational meaning: they can be identified directly by measurements with a Stem-Gerlach apparatus. This result comes down to saying that it is possible to resolve experimentally structures in quantum phase space which are smaller than (h) over bar.

Original language	English
Pages (from-to)	L5-L8
Number of pages	4
Journal	Journal of Optics B: Quantum and Semiclassical Optics
Volume	1
Issue number	5
DOIs	https://doi.org/10.1088/1464-4266/1/5/101
Publication status	Published - Oct 1999

Bibliographical note

Keywords

quantum state reconstruction
coherent states
Husimi distribution

Access to Document

10.1088/1464-4266/1/5/101

weigerts29.pdf

Cite this

@article{be476f7e8ca141bf8c5b30442b0bd886,

title = "Coherent states and the reconstruction of pure spin states",

abstract = "Coherent states provide an appealing method to reconstruct efficiently the pure state of a quantum mechanical spin s. A Stern-Gerlach apparatus is used to measure (4s + 1) expectations of projection operators on appropriate coherent states in the unknown state. These measurements are compatible with a finite number of states which can be distinguished, in the generic case, by measuring one more probability. In addition, the present technique shows that the zeros of a Husimi distribution do have an operational meaning: they can be identified directly by measurements with a Stem-Gerlach apparatus. This result comes down to saying that it is possible to resolve experimentally structures in quantum phase space which are smaller than (h) over bar.",

keywords = "quantum state reconstruction, coherent states, Husimi distribution",

author = "S. Weigert and Jean-Pierre Amiet",

note = "{\textcopyright} 1999 IOP Publishing Ltd. This is an author produced version of a paper published in Journal of Optics B: Quantum and Semiclassical Optics.",

year = "1999",

month = oct,

doi = "10.1088/1464-4266/1/5/101",

language = "English",

volume = "1",

pages = "L5--L8",

journal = "Journal of Optics B: Quantum and Semiclassical Optics",

issn = "1464-4266",

publisher = "IOP Publishing",

number = "5",

}

TY - JOUR

T1 - Coherent states and the reconstruction of pure spin states

AU - Weigert, S.

AU - Amiet, Jean-Pierre

PY - 1999/10

Y1 - 1999/10

N2 - Coherent states provide an appealing method to reconstruct efficiently the pure state of a quantum mechanical spin s. A Stern-Gerlach apparatus is used to measure (4s + 1) expectations of projection operators on appropriate coherent states in the unknown state. These measurements are compatible with a finite number of states which can be distinguished, in the generic case, by measuring one more probability. In addition, the present technique shows that the zeros of a Husimi distribution do have an operational meaning: they can be identified directly by measurements with a Stem-Gerlach apparatus. This result comes down to saying that it is possible to resolve experimentally structures in quantum phase space which are smaller than (h) over bar.

AB - Coherent states provide an appealing method to reconstruct efficiently the pure state of a quantum mechanical spin s. A Stern-Gerlach apparatus is used to measure (4s + 1) expectations of projection operators on appropriate coherent states in the unknown state. These measurements are compatible with a finite number of states which can be distinguished, in the generic case, by measuring one more probability. In addition, the present technique shows that the zeros of a Husimi distribution do have an operational meaning: they can be identified directly by measurements with a Stem-Gerlach apparatus. This result comes down to saying that it is possible to resolve experimentally structures in quantum phase space which are smaller than (h) over bar.

KW - quantum state reconstruction

KW - coherent states

KW - Husimi distribution

U2 - 10.1088/1464-4266/1/5/101

DO - 10.1088/1464-4266/1/5/101

M3 - Article

SN - 1464-4266

VL - 1

SP - L5-L8

JO - Journal of Optics B: Quantum and Semiclassical Optics

JF - Journal of Optics B: Quantum and Semiclassical Optics

IS - 5

ER -