An Invitation to the Mathematics of Topological Quantum Computation
نویسندگان
چکیده
منابع مشابه
An Invitation to the Mathematics of Topological Quantum Computation
Two-dimensional topological states of matter offer a route to quantum computation that would be topologically protected against the nemesis of the quantum circuit model: decoherence. Research groups in industry, government and academic institutions are pursuing this approach. We give a mathematicians perspective on some of the advantages and challenges of this model, highlighting some recent ad...
متن کاملAn invitation to quantum tomography
We describe quantum tomography as an inverse statistical problem. We show results of consistency in different norms, for Pattern Function Projection Estimators as well as for Sieve Maximum Likelihood Estimators for the density matrix of the quantum state and its Wigner function. The density matrix and the Wigner function are two different ways of representing quantum state. Results are derived ...
متن کاملMathematics of Topological Quantum Computing
In topological quantum computing, information is encoded in “knotted” quantum states of topological phases of matter, thus being locked into topology to prevent decay. Topological precision has been confirmed in quantum Hall liquids by experiments to an accuracy of 10−10 and harnessed to stabilize quantum memory. In this survey, we discuss the conceptual development of this interdisciplinary fi...
متن کاملTopological Quantum Computation
* Copyright (C) 2010: Permission is granted to everyone to make verbatim copies of this document provided that the copyright notice and this permission notice are preserved. Synopsis • Introduction to anyons and topological models Anyons, their properties and their relation to topological quantum computation. • Quantum double models Quantum double models are stabilizer codes, that can be descri...
متن کاملTopological Quantum Computation
Following a suggestion of A. Kitaev, we explore the connection between fault-tolerant quantum computation and nonabelian quantum statistics in two spatial dimensions. A suitably designed spin system can support localized excitations (quasiparticles) that exhibit long-range nonabelian Aharonov-Bohm interactions. Quantum information encoded in the charges of the quasiparticles is highly resistant...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2016
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/698/1/012012