51 search results - page 1 / 11 » Quantum lower bounds for the Goldreich-Levin problem |
IPL
2006
13 years 4 months ago
2006
At the heart of the Goldreich-Levin Theorem is the problem of determining an n-bit string a by making queries to two oracles, referred to as IP (inner product) and EQ (equivalence...
FOCS
2003
IEEE
13 years 10 months ago
2003
IEEE
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
ECCC
2008
13 years 4 months ago
2008
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...
STOC
2004
ACM
14 years 5 months ago
2004
ACM
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
STOC
2002
ACM
14 years 5 months ago
2002
ACM
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...