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Classical and quantum satisfiability

Full text
Author(s):
de Araujo, Anderson ; Finger, Marcelo
Total Authors: 2
Document type: Journal article
Source: ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE; v. N/A, n. 81, p. 6-pg., 2012-01-01.
Abstract

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. (AU)

FAPESP's process: 10/51038-0 - Logical consequence, reasoning and computation - LOGCONS
Grantee:Walter Alexandre Carnielli
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 08/03995-5 - Logprob: probabilistic logic --- foundations and computational applications
Grantee:Marcelo Finger
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 11/07781-2 - Logical aspects of the quantum satisfiability problem
Grantee:Anderson Beraldo de Araújo
Support Opportunities: Scholarships in Brazil - Post-Doctoral