mm.physics.triples.displacement_map_s_parametrized_Abc

mrmustard.physics.triples.displacement_map_s_parametrized_Abc(s, n_modes)

The (A, b, c) triple of a multi-mode s-parametrized displacement map. :math:

D_s(vec{gamma}^*, vec{gamma}) = e^{frac{s}{2}|vec{gamma}|^2} D(vec{gamma}^*, vec{gamma}) = e^{frac{s}{2}|vec{gamma}|^2} e^{frac{1}{2}|vec{z}|^2} e^{vec{z}^*vec{gamma} - vec{z} vec{gamma}^*}.

The indices of the final triple correspond to the variables \((\gamma_1^*, \gamma_2^*, ..., z_1, z_2, ..., \gamma_1, \gamma_2, ..., z_1^*, z_2^*, ...)\) of the Bargmann function of the s-parametrized displacement map, and correspond to out_bra, in_bra, out_ket, in_ket wires.

Parameters:

• s (int) – The phase space parameter

• n_modes (int) – the number of modes for this map.

Return type:

Union[ndarray[Tuple[int, int], Union[TypeVar(R, float16, float32, float64), TypeVar(C, complex64, complex128), TypeVar(Z, int16, int32, int64), TypeVar(N, uint16, uint32, uint64)]], ndarray[Tuple[int], Union[TypeVar(R, float16, float32, float64), TypeVar(C, complex64, complex128), TypeVar(Z, int16, int32, int64), TypeVar(N, uint16, uint32, uint64)]], TypeVar(R, float16, float32, float64), TypeVar(C, complex64, complex128), TypeVar(Z, int16, int32, int64), TypeVar(N, uint16, uint32, uint64)]

Returns:

The (A, b, c) triple of the multi-mode s-parametrized dispalcement map \(D_s(\gamma)\).

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