Qiskit / qiskit-terra / 5515523732

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Add `schmidt_decomposition` function to `quantum_info` (#10104)

* add schmidt_decomposition function to states/utils.py

* doc: add docstrings to schmidt_decomposition function

* tox -eblack

* lint changes

* fix qubit ordering definitions in docstring

* add abstol condition to save singular values

* add schmidt_decomposition to __init__.py files in .quantum_info and .quantum_info.states

* add tests for schmidt_decomposition function

* tox lint test

* correct test ordering

* (docs) add schmidt_decomposition to __init__.py docstring

* relabel subsystems in schmidt_decomposition for little-endian consistency

* (test) add test for individual elements of Schmidt decomposition

* tox and lint

* (test) add schmidt component check for 3-level system

* (docs) add reno

* (test) change assertions for schmidt_decomposition tests to AlmostEqual

* (docs) add note to docstring to clarify system partition to perform the decomposition

* (chore) fix typos, lint changes

* separate test functions, check for state with diffprob amps

* eblack lint changes

27 of 27 new or added lines in 2 files covered. (100.0%)

71650 of 83317 relevant lines covered (86.0%)

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