Available for download Quantum Zero-Error Information Theory
Quantum Zero-Error Information TheoryAvailable for download Quantum Zero-Error Information Theory
- Author: Elloa B. Guedes
- Published Date: 09 Sep 2016
- Publisher: Springer International Publishing AG
- Language: English
- Format: Hardback::189 pages
- ISBN10: 3319427938
- ISBN13: 9783319427935
- Dimension: 155x 235x 12.7mm::4,439g
Zero-error Quantum Information and Operator Theory: Emerging Links. Todorov, Ivan (PI). School of Mathematics and Physics Superactivation of the quantum zero-error capacity was not previously known. Probability of error, and has long been studied in classical information theory. Find many great new & used options and get the best deals for Information Theory:Coding Theorems for Discrete Memoryless Systems Imre Csiszár and János Körner (2015, Paperback) at the best online prices at eBay! Free shipping for many products! Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovasz In: IEEE Transactions on Information Theory, Vol. 59, No. Quantum Enhancement of Randomness DistributionIEEE On the Power of PPT-Preserving and Non-Signalling CodesInformation Theory, IEEE Transactions on Entanglement can Increase Asymptotic Rates of Zero-Error Dr Duan is mainly focused on quantum information theory, quantum state/operation discrimination, quantum zero-error information theory, and Publication Type: Journal Article Citation: IEEE Transactions on Information Theory, 2013, 59 (2), pp. 1164 - 1174 Issue Date: 2013-01-24 sion of the noisy channel until later, when we come to quantum error- correcting codes.) tum information, we must discuss Shannon entropy and its relevance to clas- that the probability of a decoding error goes to zero as n If the. The field of Quantum Information Theory has evolved significantly over the last three decades. Many results from classical information theory were translated and extended to a scenario where quantum effects become important. cluding Shor's algorithm), quantum error correcting codes and quantum information theory. 1.1 Classical Versus Quantum Probability. Theory. We begin 0 otherwise. Thus, a real-valued observable X has a distribution on the real line. This is a graduate-level introduction to mathematics of information theory. We will cover both classical and modern topics (such as finite blocklength IT and applications to statistical decision theory). Those taking Information Theory for the first time may benefit from reading the standard textbook T. Cover and J. Thomas (see below). Shannon s information theory has been highly successful at describing classical information transmission, but only in the last couple of decades or so has there been a major effort to This book aims at presenting the field of Quantum Information Theory in an intuitive, didactic and self-contained way, taking into account several multidisciplinary aspects. Therefore, this books is particularly suited to students and researchers willing to grasp fundamental concepts in Quantum The video lectures for this course are based on the first 11 chapters of Prof. Raymond Yeung s textbook entitled Information Theory and Network Coding (Springer 2008). activation of the zero-error capacity of quantum channels. The zero-error capacity of tion in quantum information theory and in the commu- nication of future Arbitrarily Varying and Compound Classical-Quantum Channels and a Note on Quantum Zero-Error Capacities Igor Bjelakovic, Holger Boche, Gisbert Janßen, n), using information theory. However, their tools seem unable to give good bounds on the success probability for much smaller c. In-stead, the main mathematical tool we use in our analysis is the so-called KKL inequality" [KKL88] from Fourier analysis of Boolean functions. Roughly speak- The problem of error-free transmission capacity of a noisy channel was posed Shannon in 1956 and remains unsolved, Nevertheless, partial results for this and similar channel and source coding problems have had a considerable impact on information theory, computer science, and mathematics. We review the techniques, results, information measures, and challenges encountered in this ongoing quest. About "achieve zero error" or "approach zero error" - it's a bit more complicated: while using blocks of finite length, there is always nonzero probability that the amount of errors will exceed some threshold above which we cannot correct properly. The better would be "approach asymptotically zero error" - with block lengths going to infinity. 67*, 2011. Kochen Specker sets and the rank-1 quantum chromatic number. G Scarpa, S Severini. IEEE Transactions on Information Theory 58 (4), 2524-2529, 2011 Entanglement-assisted zero-error source-channel coding. J Briët, H We study quantum entanglement and some of its applications in graph theory and zero-error information theory. In Chapter 1 we introduce
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