qit.utils.boson_ladder

qit.utils.boson_ladder(*args)

Bosonic ladder operators.

Parameters

d (int) – truncation dimension

Returns

bosonic annihilation operator $b$

Return type

array

Returns the d-dimensional approximation of the bosonic annihilation operator $b$ for a single bosonic mode in the number basis $\{|0⟩,|1⟩,...,|d-1⟩\}$.

The corresponding creation operator is $b^{†}$. The (infinite-dimensional) bosonic annihilation and creation operators fulfill the commutation relation $[b,b^{†}]=\mathrm{I}$. Due to the d-dimensional basis truncation, this does not hold for the last dimension of the b matrices returned by this function.