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FOCS
1998
IEEE
15 years 4 months ago
Quantum Lower Bounds by Polynomials
We examine the number T of queries that a quantum network requires to compute several Boolean functions on f0;1gN in the black-box model. We show that, in the blackbox model, the ...
Robert Beals, Harry Buhrman, Richard Cleve, Michel...
117
Voted
STOC
2005
ACM
138views Algorithms» more  STOC 2005»
16 years 28 days ago
Fast quantum algorithms for computing the unit group and class group of a number field
Computing the unit group and class group of a number field are two of the main tasks in computational algebraic number theory. Factoring integers reduces to solving Pell's eq...
Sean Hallgren
STOC
2004
ACM
142views Algorithms» more  STOC 2004»
16 years 27 days ago
Lower bounds for local search by quantum arguments
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...
Scott Aaronson
92
Voted
ICALP
2005
Springer
15 years 6 months ago
All Quantum Adversary Methods Are Equivalent
Abstract: The quantum adversary method is one of the most versatile lower-bound methods for quantum algorithms. We show that all known variants of this method are equivalent: spect...
Robert Spalek, Mario Szegedy
CSL
2003
Springer
15 years 5 months ago
A Logic for Probability in Quantum Systems
Quantum computation deals with projective measurements and unitary transformations in finite dimensional Hilbert spaces. The paper presents a propositional logic designed to descr...
Ron van der Meyden, Manas Patra