sf.math.hermite_renormalized_diagonal_reorderedAB

math.hermite_renormalized_diagonal_reorderedAB(B, C, cutoffs)

Renormalized multidimensional Hermite polynomial given by the “exponential” Taylor series of \(exp(C + Bx - Ax^2)\) at zero, where the series has \(sqrt(n!)\) at the denominator rather than \(n!\). Note the minus sign in front of A.

Calculates the diagonal of the Fock representation (i.e. the PNR detection probabilities of all modes) by applying the recursion relation in a selective manner.

Parameters:

• A (ndarray) – The A matrix.

• B (ndarray) – The B vector.

• C (ndarray) – The C scalar.

• cutoffs (Tuple[int]) – upper boundary of photon numbers in each mode

Return type:

ndarray

Returns:

The renormalized Hermite polynomial.

code/api/mrmustard.math.hermite_renormalized_diagonal_reorderedAB

 

Download Python script

 

Download Notebook

 

View on GitHub