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» Geometry of abstraction in quantum computation
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STACS
2000
Springer
15 years 1 months ago
Average-Case Quantum Query Complexity
Abstract. We compare classical and quantum query complexities of total Boolean functions. It is known that for worst-case complexity, the gap between quantum and classical can be a...
Andris Ambainis, Ronald de Wolf
ENTCS
2008
120views more  ENTCS 2008»
14 years 10 months ago
Towards a Quantum Calculus: (Work in Progress, Extended Abstract)
Progress, Extended Abstract) Philippe Jorrand1 Simon Perdrix2 Leibniz Laboratory IMAG-INPG Grenoble, France The aim of this paper is to introduce a general model of quantum comput...
Philippe Jorrand, Simon Perdrix
ASIAN
2009
Springer
363views Algorithms» more  ASIAN 2009»
14 years 11 months ago
A Logic for Formal Verification of Quantum Programs
Abstract. This paper provides a Hoare-style logic for quantum computation. While the usual Hoare logic helps us to verify classical deterministic programs, our logic supports quant...
Yoshihiko Kakutani
CORR
2008
Springer
92views Education» more  CORR 2008»
14 years 10 months ago
Universal Quantum Circuits
Abstract. We define and construct efficient depth-universal and almostsize-universal quantum circuits. Such circuits can be viewed as generalpurpose simulators for central classes ...
Debajyoti Bera, Stephen A. Fenner, Frederic Green,...
CORR
2007
Springer
113views Education» more  CORR 2007»
14 years 9 months ago
Geometry and the complexity of matrix multiplication
We survey results in algebraic complexity theory, focusing on matrix multiplication. Our goals are (i.) to show how open questions in algebraic complexity theory are naturally pose...
J. M. Landsberg