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piel.integration.sax_qutip

piel.integration.sax_qutip#

Module Contents#

Functions#

sax_to_ideal_qutip_unitary(sax_input[, input_ports_order])

This function converts the calculated S-parameters into a standard Unitary matrix topology so that the shape and

verify_sax_model_is_unitary(→ bool)

Verify that the model is unitary.
sax_to_ideal_qutip_unitary(sax_input: sax.SType, input_ports_order: tuple | None = None)[source]#

This function converts the calculated S-parameters into a standard Unitary matrix topology so that the shape and dimensions of the matrix can be observed.

I think this means we need to transpose the output of the filtered sax SDense matrix to map it to a QuTip matrix. Note that the documentation and formatting of the standard sax mapping to a S-parameter standard notation is already in described in piel/piel/sax/utils.py.

From this stage we can implement a QObj matrix accordingly and perform simulations accordingly. https://qutip.org/docs/latest/guide/qip/qip-basics.html#unitaries

For example, a qutip representation of an s-gate gate would be:

..code-block:

import numpy as np
import qutip
# S-Gate
s_gate_matrix = np.array([[1.,   0], [0., 1.j]])
s_gate = qutip.Qobj(mat, dims=[[2], [2]])

In mathematical notation, this S-gate would be written as:

..math:

S = \begin{bmatrix}
    1 & 0 \\
    0 & i \\
\end{bmatrix}
Parameters:

  • sax_input (sax.SType) – A dictionary of S-parameters in the form of a SDict from sax.

  • input_ports_order (tuple | None) – The order of the input ports. If None, the default order is used.

Returns:

A QuTip QObj representation of the S-parameters in a unitary matrix.

Return type:

qobj_unitary (qutip.Qobj)

verify_sax_model_is_unitary(model: sax.SType, input_ports_order: tuple | None = None) → bool[source]#

Verify that the model is unitary.

Parameters:

  • model (dict) – The model to verify.

  • input_ports_order (tuple | None) – The order of the input ports. If None, the default order is used.

Returns:

True if the model is unitary, False otherwise.

Return type:

bool

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