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mm.physics.gaussian.amp_XYd

mrmustard.physics.gaussian.amp_XYd(gain, nbar)[source]

Returns the X, Y matrices and the d vector for the noisy amplifier channel.

\[X = math.sqrt(gain) Y = (gain-1) * (2 * nbar + 1) * hbar / 2\]

Reference: Alessio Serafini - Quantum Continuous Variables (5.77, p. 111)

The quantum limited amplifier channel is recovered for nbar = 0.0.

Parameters:

  • gain (float) – value of the gain > 1

  • nbar (float) – photon number expectation value in the environment (0 for quantum limited amplifier)

Returns:

the X, Y matrices and the d vector for the noisy amplifier channel.

Return type:

Tuple[Matrix, Vector]

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