Classical and quantum satisfiability

Computer Science – Computational Complexity

Scientific paper

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In Proceedings LSFA 2011, arXiv:1203.5423

Scientific paper

10.4204/EPTCS.81.6

We present the linear algebraic definition of QSAT and propose a direct
logical characterization of such a definition. We then prove that this logical
version of QSAT is not an extension of classical satisfiability problem (SAT).
This shows that QSAT does not allow a direct comparison between the complexity
classes NP and QMA, for which SAT and QSAT are respectively complete.

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