: We study the computational strength of quantum particles (each of finite dimensionality) arranged on a line. First, we prove that it is possible to perform universal adiabatic q...
Dorit Aharonov, Daniel Gottesman, Sandy Irani, Jul...
Shor has showed how to perform fault tolerant quantum computation when the probability for an error in a qubit or a gate, η, decays with the size of the computation polylogarithmi...
We give a short and simple proof of Hales and Hallgren's Fourier Sampling Theorem ["Quantum Fourier Sampling Simplified", Proceedings of the Thirty-First Annual ACM...
We propose a new method for proving lower bounds on quantum query algorithms. Instead of a classical adversary that runs the algorithm with one input and then modifies the input,...