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...
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...
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...
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,...
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...