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1 vote
0 answers
29 views

Can we get quasiprobability distributions other than $P,Q,W$ from generalised characteristic functions?

It's a standard result that the three well-known quasiprobability distributions can all be expressed in terms of the "$s$-ordered characteristic functions" as $$ W(\alpha) = \int\frac{d^2\...
glS's user avatar
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3 votes
2 answers
561 views

What does it mean for $P$ functions to be "more singular than a delta"?

Consider the Glauber-Sudarshan $P$ representation of a state $\rho$, which is the function $\mathbb C\ni\alpha\mapsto P_\rho(\alpha)\in\mathbb R$ such that $$\rho = \int d^2\alpha \, P_\rho(\alpha) |\...
glS's user avatar
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15 votes
1 answer
3k views

Understanding the relationship between Phase Space Distributions (Wigner vs Glauber-Sudarshan P vs Husimi Q)

I am moving into a new field and after thorough literature research need help appreciating what is out there. In the continuos variable formulation of optical state space. (Quantum mechanical/Optical) ...
ckrk's user avatar
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