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When Matchgate Base Collapse Fails: A Qutrit Trichotomy and Unbounded Exact Width

Liu, Chenghua et al.
arXiv (All) · Papers
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computational-complexity
Holographic algorithms solve planar counting problems by encoding each value of a finite domain into several Boolean matchgate wires. Base collapse asks whether every exact representation can be compressed to a number of wires per edge bounded only by the domain size. Chen (STOC 2016) and Xia (STOC
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