Open AccessJournal Article
Classical computing, quantum computing.
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About: This article is published in Astérisque. The article was published on 01 Jan 2000. and is currently open access. The article focuses on the topics: Quantum computer.
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Citations
Holographic software for quantum networks
TL;DR: In this article, a pictorial approach to quantum information is introduced, called holographic software, which captures both algebraic and topological aspects of quantum networks, and yields a bi-directional dictionary to translate between a topological approach and an algebraic approach.
Complexity vs energy: theory of computation and theoretical physics
Yuri I. Manin
- 10 Sep 2014
TL;DR: In this article, a survey based upon the talk at the satellite QQQ conference to ECM6, 3Quantum: Algebra Geometry Information, Tallinn, July 2012 is presented.
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Complexity vs Energy: Theory of Computation and Theoretical Physics
TL;DR: A survey based upon the talk at the satellite QQQ conference to ECM6, 3Quantum: Algebra Geometry Information, Tallinn, July 2012, describes three precise mathematical contexts, suggested recently, in which mathematics related to (un)computability is inspired by and to a degree reproduces formalisms of statistical physics and quantum field theory.
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Constructive Simulation and Topological Design of Protocols
TL;DR: In this paper, the notion of topologically-compressed transformations is introduced for tensor networks and a new protocol can implement multiple, non-local compressed transformations among multi-parties using one multipartite resource state.
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Drinfeld–Manin solutions of the Yang–Baxter equation coming from cube complexes
TL;DR: It is shown that there are higher-dimensional cube complexes solving the $D$-state Yang-Baxter equation for arbitrarily large $D$.
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