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Add sampling overhead table and expand/update cutting explanation (ba…
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…ckport #342) (#553)

* Add sampling overhead table and expand/update cutting explanation (#342)

* Add sampling overhead table

* typos

* Fix heading level

* Rearrange table

* Fix some Sphinx cross references

* Fix Sphinx LaTeX expressions

* Add link to IBM blog post on LOCC cutting

* Tweaks to intro

* Lots of progress

* Update docs/circuit_cutting/explanation/index.rst

Co-authored-by: Ibrahim Shehzad <75153717+ibrahim-shehzad@users.noreply.github.com>

* Rephrase LOCC vs dynamic circuits

following discussion at
#342 (comment)

* Removed `PauliList` limitation, lifted by #523

Follow up to
#342 (comment)

* Rephrase circuit cutting intro

#342 (comment)

* Remove circuit cutting graph

It's actually very similar to the one at the top of the explanation

#342 (comment)

* Update docs/circuit_cutting/explanation/index.rst

Co-authored-by: Ibrahim Shehzad <75153717+ibrahim-shehzad@users.noreply.github.com>

* Update docs/circuit_cutting/explanation/index.rst

Co-authored-by: Ibrahim Shehzad <75153717+ibrahim-shehzad@users.noreply.github.com>

---------

Co-authored-by: Ibrahim Shehzad <75153717+ibrahim-shehzad@users.noreply.github.com>
(cherry picked from commit 299c849)

# Conflicts:
#	test/cutting/qpd/test_qpd.py

* Fix conflict

---------

Co-authored-by: Jim Garrison <garrison@ibm.com>
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mergify[bot] and garrison committed Apr 17, 2024
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