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» Bounds on the Quantum Satisfiability Threshold
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2010
Tsinghua U.
13 years 8 months ago
Bounds on the Quantum Satisfiability Threshold
Quantum k-SAT is the problem of deciding whether there is a n-qubit state which is perpendicular to a set of vectors, each of which lies in the Hilbert space of k qubits. Equivale...
Sergey Bravyi, Cristopher Moore, Alexander Russell
ECCC
2008
107views more  ECCC 2008»
13 years 4 months ago
A Quantum Time-Space Lower Bound for the Counting Hierarchy
We obtain the first nontrivial time-space lower bound for quantum algorithms solving problems related to satisfiability. Our bound applies to MajSAT and MajMajSAT, which are compl...
Dieter van Melkebeek, Thomas Watson
SODA
2000
ACM
114views Algorithms» more  SODA 2000»
13 years 5 months ago
Typical random 3-SAT formulae and the satisfiability threshold
: k-SAT is one of the best known among a wide class of random constraint satisfaction problems believed to exhibit a threshold phenomenon where the control parameter is the ratio, ...
Olivier Dubois, Yacine Boufkhad, Jacques Mandler
RSA
2006
104views more  RSA 2006»
13 years 4 months ago
The satisfiability threshold for randomly generated binary constraint satisfaction problems
Abstract. We study two natural models of randomly generated constraint satisfaction problems. We determine how quickly the domain size must grow with n to ensure that these models ...
Alan M. Frieze, Michael Molloy
ICQNM
2007
IEEE
131views Chemistry» more  ICQNM 2007»
13 years 11 months ago
Comparison of two bounds of the quantum correlation set
— From a geometric viewpoint, quantum nonlocality between two parties is represented as the difference of two convex bodies, namely the sets of possible results of classical and ...
David Avis, Tsuyoshi Ito