Calculations on Bargmann objects

This module contains functions for performing calculations on objects in the Bargmann representations.

Functions

XY_of_channel(A)	Outputting the X and Y matrices corresponding to a channel determined by the "A" matrix.
au2Symplectic(A)	helper for finding the Au of a unitary from its symplectic rep.
bargmann_Abc_to_phasespace_cov_means(A, b, c)	Function to derive the covariance matrix and mean vector of a Gaussian state from its Wigner characteristic function in ABC form.
cayley(X, c)	Returns the Cayley transform of a matrix: \(cay(X) = (X - cI)(X + cI)^{-1}\)
norm_ket(A, b, c)	Calculates the l2 norm of a Ket with a representation given by the Bargmann triple A,b,c.
pq_to_aadag(X)	maps a matrix or vector from the q/p basis to the a/adagger basis
symplectic2Au(S)	The inverse of au2Symplectic i.e., returns symplectic, given Au
trace_dm(A, b, c)	Calculates the total trace of the density matrix with representation given by the Bargmann triple A,b,c.
wigner_to_bargmann_Choi(X, Y, d)	Converts the wigner representation in terms of covariance matrix and mean vector into the Bargmann A,B,C triple for a channel (i.e. for M modes, A has shape 4M x 4M and B has shape 4M).
wigner_to_bargmann_U(X, d)	Converts the wigner representation in terms of covariance matrix and mean vector into the Bargmann A,B,C triple for a unitary (i.e. for M modes, A has shape 2M x 2M and B has shape 2M).
wigner_to_bargmann_psi(cov, means)	Converts the wigner representation in terms of covariance matrix and mean vector into the Bargmann A,B,C triple for a Hilbert vector (i.e. for M modes, A has shape M x M and B has shape M).
wigner_to_bargmann_rho(cov, means)	Converts the wigner representation in terms of covariance matrix and mean vector into the Bargmann A,B,C triple for a density matrix (i.e. for M modes, A has shape 2M x 2M and B has shape 2M).
wigner_to_husimi(cov, means)	Returns the husimi complex covariance matrix and means vector.

Variables

ComplexMatrix	ndarray(shape, dtype=float, buffer=None, offset=0,
Matrix	ndarray(shape, dtype=float, buffer=None, offset=0,
Scalar	alias of R | C | Z | N
Vector	ndarray(shape, dtype=float, buffer=None, offset=0,
math	A class to manage the different backends supported by Mr Mustard.
settings	A class containing various settings that are used by Mr Mustard throughout a session.

code/physics/utils/bargmann_calculations

 

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