Glauber–Sudarshan P function

E443156

The Glauber–Sudarshan P function is a quasi-probability distribution in quantum optics that represents quantum states in terms of coherent states, often revealing nonclassical properties through its singular or non-positive behavior.

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Statements (49)

Predicate Object
instanceOf concept in quantum optics ⓘ
phase-space representation ⓘ
quasi-probability distribution ⓘ
alsoKnownAs P representation ⓘ
diagonal coherent-state representation ⓘ
appliedIn continuous-variable quantum information ⓘ
quantum communication ⓘ
quantum optics experiments ⓘ
associatedWith Glauber coherent states ⓘ
normal-ordered correlation functions ⓘ
characterizes classicality of optical fields ⓘ
nonclassicality of optical fields ⓘ
classicalityCriterion existence of a regular positive P function ⓘ
definedFrom density matrix in coherent-state basis ⓘ
domain complex phase space ⓘ
field quantum information theory ⓘ
quantum mechanics ⓘ
quantum optics ⓘ
historicalPeriod 1960s ⓘ
integratesTo unity for normalized quantum states ⓘ
introducedFor normal ordering of field operators ⓘ
introducedInContext coherent-state formalism ⓘ
mathematicalForm distribution over complex amplitude α ⓘ
namedAfter E. C. G. Sudarshan ⓘ
Roy J. Glauber ⓘ
linked to: Roy Glauber
nonclassicalityCriterion negativity or singularity of the P function ⓘ
property can be highly singular ⓘ
can take negative values in generalized sense ⓘ
reduces to classical probability distribution for classical states ⓘ
relatedConcept nonclassical states of light ⓘ
photon antibunching ⓘ
squeezed states ⓘ
sub-Poissonian photon statistics ⓘ
relatedTo Husimi Q function ⓘ
Wigner function ⓘ
s-parameterized quasiprobability distributions ⓘ
represents density operator ⓘ
quantum states of light ⓘ
transformsUnder linear optical transformations ⓘ
usedFor analysis of photon statistics ⓘ
description of optical coherence ⓘ
identification of nonclassical light ⓘ
quantum optical tomography ⓘ
quantum state reconstruction ⓘ
usedToDescribe Fock states ⓘ
laser light ⓘ
squeezed vacuum states ⓘ
thermal states of radiation ⓘ
usesBasis coherent states ⓘ

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Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Wigner distribution function → relatedTo → Glauber–Sudarshan P function ⓘ
Roy Glauber → notableWork → Glauber–Sudarshan P-representation ⓘ
linked to: Glauber–Sudarshan P function
Roy Glauber → notableWork → Glauber theory of quantum optics ⓘ
linked to: Glauber–Sudarshan P function