Approximate equivalence checking #443
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burgholzer
added
feature
Codecov ReportAttention: Patch coverage is
Additional details and impacted files@@ Coverage Diff @@
## main #443 +/- ##
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+ Coverage 95.3% 95.4% +0.1%
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Files 40 42 +2
Lines 1835 2057 +222
Branches 224 261 +37
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+ Hits 1749 1964 +215
- Misses 86 93 +7
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… simulateSlicing, reverse iterate through second circuit in simulateSlicing
…cisions const; add failing tests
- Invert qc2 only once and not in each decision iteration
![github-advanced-security[bot]](https://avatars.githubusercontent.com/in/57789?s=60&v=4){kind=small}
- Handle HSF-related errors in the EquivalenceCheckingManager via DDHybridSchrodingerFeynmanChecker::canHandle - Refactor HSF to inherit from EquivalenceChecker instead of DDEquivalenceChecker and avoid redundant initializations - Disable optimizations for the HSF checker
… checking setting
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Description
Introducing approximate equivalence checking by computing the Frobenius inner product between 𝑈 and 𝑉 and comparing the result to a predefined threshold. This enhancement allows for a more flexible comparison that accounts for near-equivalent circuits. The
DDAlternatingCheckerandDDEquivalenceCheckerhave been adapted to incorporate this approach.Additionally, the
HybridSchrodingerFeynmanCheckerhas been added. The checker divides a circuit horizontally into two halves: a lower part and an upper part. This is achieved by cutting controlled gates that cross the middle line according to the Schmidt decomposition.By leveraging key trace equalities - specifically,
we can treat the lower and upper circuit parts, as well as the summands from the Schmidt decomposition, independently. This enables parallel trace computation, allowing to check the equivalence of larger, yet shallow circuits.
Fixes #442
Checklist: