It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. Quantum information theory is the shannon entropy or simply entropy of the ensemble x x,px. Developing the subject from the ground up it covers classical results as well as major advances of the past decade. Accessible to anyone comfortable with linear algebra and elementary probability theory, wilde s book brings the reader to the forefront of research in the quantum generalization of shannons information theory. Significant attention is given to quantum mechanics for quantum information theory, and careful studies of the important protocols of teleportation, superdense. Wilde email delivery at the best online prices at ebay. Jun 30, 20 journal of discrete mathematical sciences and cryptography mark m.
Quantum information theory aka from classical to quantum shannon theory. As such, we spend a significant amount of time on quantum mechanics for quantum information theory part ii, we give a careful study of the important unit protocols of teleportation, superdense coding, and. Trace if ais linear operator, show that traj ih j h jaj i. Quantum information theory university of amsterdam. Clearly explaining the necessary mathematical basis, it merges key topics from both informationtheoretic and quantum mechanical viewpoints and provides lucid explanations of the basic results. Quantum information theory by mark wilde goodreads. Quantum computation and quantum information, by michael nielsen and isaac chuang. Fundamental law of quantum information theory monotonicity of quantum relative entropy lin75, uhl77 let.
All probability distributions can be embedded into a quantum state by placing the entries along the diagonal of the density matrix. As such, we spend a significant amount of time on quantum mechanics for quantum information theory part ii, we give a careful study of the important unit protocols of teleportation, superdense. In this sense a letter xchosen from the ensemble carries, on the average, hx bits of. Quantum information theory published by cambridge university press 2nd edition forthcoming. Quantum information theory request pdf researchgate. But because we are short of time im anxious to move on to quantum computation, i wont be able to cover this subject in as much depth as i would have liked. Although quantum shannon theory is the oldest part of quantum information theory the earliest investigations were concerned with the effects of the quantum nature of light on reliable communication the last ten years have produced an enormous number of fundamental results, not the least of which is an expression for the capacity of noisy. The lecture is the first of two parts, and was filmed at the canadian summer school on quantum. In the field of quantum information theory, the quantum systems studied are abstracted away from any real world counterpart. In physics and computer science, quantum information is the information of the state of a quantum system.
Quantum information processing february 2014, volume, issue 2, pp 587590 cite as mark m. This graduate textbook provides a unified view of quantum information theory. Apr 30, 20 finally, here is a modern, selfcontained text on quantum information theory suitable for graduatelevel courses. Strong converse exponents for a quantum channel discrimination problem and quantum feedbackassisted communication t cooney, m mosonyi, mm wilde communications in mathematical physics 344 3, 797829, 2016. Wilde march, 2015 abstract the conditional quantum mutual information ia. Study shows that it is possible to clone quantum information. Wilde, quantum information theory, cambridge university press 20 michael a. Finally, here is a modern, selfcontained text on quantum information theory suitable for graduatelevel courses. As such, we spend a significant amount of time on quantum mechanics for quantum information theory part ii, we give a careful study of the important unit protocols of. Lsus mark wilde has shown that it would theoretically be possible for time travelers to copy quantum data from the past. Request pdf quantum information theory finally, here is a modern, self contained text on quantum information.
I would start with quantum computing since democritus by scott aaronson. The proof of this theorem can be found as theorem 3. Beginning with an extensive overview of classical information theory suitable for the nonexpert, the author then turns his attention to. Quantum information theory tutorial isit 2016 barcelona. Electronic data processing technological innovations. Mark wildes second edition of his book quantum information theory has been published. Chapter 5 quantum information theory quantum information theory is a rich subject that could easily have occupied us all term. Significant attention is given to quantum mechanics for quantum information theory, and careful studies of the important protocols of teleportation, superdense coding, and. From classical to quantum shannon theory inspire hep. Wilde the simplest quantum system is the physical quantum bit or qubit. Jun 07, 2011 the aim of this book is to develop from the ground up many of the major, exciting, pre and postmillenium developments in the general area of study known as quantum shannon theory. Mark wilde, postdoctoral fellow at mcgill university, lectures on quantum information theory. Harrow, michael walter, the mathematics of entanglement. Apr 18, 20 finally, here is a modern, selfcontained text on quantum information theory suitable for graduatelevel courses.
Wilde, mark, 1980 quantum information theory mark wilde, mcgill university, montr. Adopting a block code that assigns integers to the typical sequences, the information in a string of nletters can be compressed to hx bits. In the last years, a considerable amount of theoretical and experimental studies have been focussing on the impact that quantum mechanics may have on. Accessible to anyone comfortable with linear algebra and elementary probability theory, wildes book brings the reader to the forefront of research in the quantum generalization of shannons information. Journal of discrete mathematical sciences and cryptography mark m. Accessible to anyone comfortable with linear algebra and elementary probability theory, wilde s book brings the reader to the forefront of research in the quantum generalization of shannons information. Wilde s quantum information theory is a natural expositors labor of love. Home browse by title periodicals quantum information processing vol. The qubit is a twolevel quantum systemexample qubit systems are the spin of an electron, the polarization of a photon, or a twolevel atom with a ground state and an excited state.
Chuang, quantum computation and quantum information, cambridge university press 2010 fernando g. Quantum information processing, volume 15, issue 11, pages 45634580, november 2016. Abc is an information quantity which lies at the center of many problems in quantum information theory. Quantum mechanics is the study of how microscopic physical systems change dynamically in nature. The work, quantum information theory, 2nd edition is to be published by cambridge. Cambridge core quantum physics, quantum information and quantum computation quantum information theory by mark m. The aim of this book is to develop from the ground up many of the major, exciting, pre and postmillenium developments in the general area of study known as quantum shannon theory.
Clearly explaining the necessary mathematical basis, it merges key topics from both information theoretic and quantum mechanical viewpoints and provides lucid explanations of the basic results. Quantum information theory, quantum information processing on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. The goal of this course is to provide a solid understanding of the mathematical foundations of quantum information theory, with which we can then examine some of the counterintuitive phenomena in more detail. From classical to quantum shannon theory by mark wilde. Its a relatively light book that will teach you the basics of theoretical computer science, quantum mechanics and other topics in a fun and intuitive way, without going into. The lecture is the second of two parts, and was filmed at the canadian summer school on quantum. Mark wilde quantum information theory part 1 cssqi 2012.
Wilde and minhsiu hsieh abstractone of the unexpected breakdowns in the existing theory of. Developing many of the major, exciting, pre and postmillennium developments from the ground up, this book is an ideal entry point for graduate students into quantum information theory. Classical and quantum computation, by kitaev, shen and vyalyi 8. Pdf from classical to quantum shannon theory semantic scholar. Developing the subject from the ground up, it covers classical. Epr paradox, schroedingers cat, only in the second half, in the light of experimental progress in the manipulation of quantum systems, did the development of a theory of quantum information and computation accelerate.
Wilde, recently published by cambridge university press. Mark wilde quantum information theory part 2 cssqi 2012. Nov 21, 2012 mark wilde, postdoctoral fellow at mcgill university, lectures on quantum information theory. What are some good books for learning quantum computation. Accessible to anyone comfortable with linear algebra and elementary probability theory, wildes book brings the reader to the forefront of research in the quantum generalization of shannons information theory. Strong converse exponents for a quantum channel discrimination problem and quantumfeedbackassisted communication t cooney, m mosonyi, mm wilde communications in mathematical physics 344 3, 797829, 2016. It is sometimes called holevos bound, since it establishes an upper bound to the amount of information that can be known about a quantum state accessible information. Nov 26, 20 although quantum shannon theory is the oldest part of quantum information theory the earliest investigations were concerned with the effects of the quantum nature of light on reliable communication the last ten years have produced an enormous number of fundamental results, not the least of which is an expression for the capacity of noisy. Holevos theorem is an important limitative theorem in quantum computing, an interdisciplinary field of physics and computer science.
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