Patrick Hayden: Quantum information as asymptotic geometry
Patrick Hayden, McGill
Patrick Hayden, McGill
IQC/QuantumWorks Joint Seminar Eric Luvisotto and Scott Inwood, Waterloo Commercialization Office (”WatCo”)
Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny (a.k.a. algebraic map) between them, but finding such an isogeny is believed to be computationally difficult. The fastest known classical algorithm for this problem requires exponential time, and prior to our work no faster quantum algorithm was known. We show that this problem can be solved in subexponential time on a quantum computer, assuming the
Christophe Couteau, L’Université de technologie de Troyes
Dr. Rainer Kaltenbaek, University of Vienna
Mustafa Bal, Dartmouth
Mohammad Ansari, Institute for Quantum Computing
With lowering temperature, a qubit may become strongly coupled to the reservoirs. This can result into some exotic situations such as: the appearance of full conductivity instead of current blockade in a quantum dot, increasing resistivity with lowering temperature in a metal, and the appearance of microresonators in the critical current noise in a Josephson junction. In this talk, some of these phenomena are discussed.
Jon Tyson, Institute for Quantum Computing
Chen Lin, National University of Singapore
Abstract to be announced.
Robert Pfiefer, University of Queensland