Introduction to Quantum Information and Quantum Computation. Quantum information and computation is a rapidly expanding and cross-disciplinary subject. Holevo bound, Everyday low prices and free delivery on eligible orders. The lectures are drawn from my book Quantum Information (Barnett 2009). 1.1. You could not be signed in, please check and try again. Bekenstein bound, PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). This article consists of a very short introduction to classical and quantum information theory. ���� JFIF ` ` �� C In these notes I aim, rather, (c) Copyright Oxford University Press, 2020. 2 0 obj This book, first published in 2006, gives a self-contained introduction to the field for physicists, mathematicians and computer scientists who want to know more about this exciting subject. stream <> Other topics covered in the book are quantum mechanics, measures of quantum entanglement, general conditions of quantum error correction, pure state entanglement and Pauli matrices, pure states and Bell's inequalities, and computational complexity of quantum algorithms. 4 0 obj Basic properties of the classical Shannon entropy and the quantum von Neumann entropy are described, along with related concepts such as classical and quantum relative entropy, conditional entropy, and mutual information. Theoretical, Computational, and Statistical Physics, 4 Quantum communication with entanglement, 12 Entanglement, computation and quantum measurements, Published to Oxford Scholarship Online: January 2010, DOI:10.1093/acprof:oso/9780199215706.001.0001. All mathematical derivations are based on clear physical pictures which make even the most involved results — such as the Holevo bound — look comprehensible and transparent. A modern introduction to quantum information with emphasis on quantum entanglement. x��R�j#1��+�X�z�`�6$7��ž��e��K~?ݒ=!���h�U�]Ւ���= �G.����b��C������}��v*GعOɊ/��j+�3y��w��t6���v��z`��c����&��.7J���〴���������� Covers a number of non-standard topics, such as Maxwell's demon, Landauer's erasure, the Bekenstein bound, and Caratheodory's view of the Second Law of thermodynamics. Introduction This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies, quantum coding, quantum error correction and quantum cryptography. <> In these five lectures I shall give a short introduction to the field of quantum information. Discusses the physics behind introduced concepts at great length and favours this to mathematical formalism. “An Introduction to Information Theory,” by J. R. Price: Dover 1980 “Quantum Computing since Democritus,” by S. Aaronson, Cambridge UP 2013. endobj Contents Page 1 Course Introduction and The Extended Church-Turing Thesis 7 2 Probability Theory and Quantum Mechanics 11 or login to access all content. Quantum information is the information of the state of a quantum system.It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. In addition to treating quantum communication, entanglement, error correction, and algorithms in great depth, this book also addresses a number of interesting miscellaneous topics, such as Maxwell's demon, Landauer's erasure, the Bekenstein bound, and Caratheodory's treatment of the second law of thermodynamics. The word ‘bit’ is short for binary digit and can be represented by 0 or 1 in the binary numbering system (base 2 numbers). quantum information, quantum mechanics, Vlatko Vedral, author However, it is also very interesting to see that information theory has something to teach us about physics. Quantum information is a fascinating topic precisely because it shows that the laws of information processing ar ... More. In addition to treating quantum communication, entanglement, error correction, and algorithms in great depth, this book also addresses a number of interesting miscellaneous topics, such as Maxwell's demon, Landauer's erasure, the Bekenstein bound, and Caratheodory's treatment of the second law of thermodynamics. Introduction to Quantum Information Science. My aim is to make these notes self-contained, but cannot hope to cover the totality of what is now a large and active field of research. thermodynamics, Both of these directions are discussed throughout the book. All Rights Reserved. At the turn of the 20th Century physicists were trying to explain a plethora of phenomena and ex- perimental results using classical Newtonian … quantum communication, 411 quantum algorithms, Landauer's erasure, Users without a subscription are not able to see the full content. �� C �� "" �� �� �� �y}��|O��s9b4������:^ռO#���1�ֱ�h��su�c��������\��h��U�c�z|�F��9�3FSZ��z�L��z�y�)�n�O�z&�f���s��cZ̃�O=sף��Rd�>�x�kQ�s�g�Ƶh�tԙa��c���>�z�5�G���d���i5c ���Mk���2u�����s�g�S[r��)�vh��U�c�S=r��c������>V���s�"��k1�}\ѐ��>V���n�'Y��>�j�5��9鹾����[��]�r=;�W�{������ya���j7�e����i�_K1��gEy���]Q�|�H����9��'�4�si4�i���λ�6U2�暄3z9��4�f�s�m2��BFoK9����f���˦tG�j6|�P����9��+�52�暡'/��si4O�i��My��ɗ��k4�1��@��h�4�g/���SP���g5�Q���P����CP����5�Q���P�.��k�5�L��cY c���8~>~���"8{ϳz3���7r�����;��~�z�Q揿��>My`s�4�Ә��9��4iͦ� �ӛI��9ӛNcF��k0M9���H�F}9�K�t�j4��9��ͧ9�:si�hЍ������j �>�ƣB4VbG6�X�@s�>�ƣN}���t�A���tfӘѣ>��H�4��k0ueӘ�1._�FsF��k0ueӘ��Yue4jˢ������������ 8s?�2�|�˹Aq��3�ڽ�#��d��՗Q��9דVS@v}o���~�Owʝ��]ߋ�'�x��r}_?� �r���?��z��{^?����N~����9�"��I���H����4�f�9��+Ν"f�h������3���]u��'D�ӠC?���i3��%��D���1�C7��͢ϯ8�"e��&�ނ6�}y�L�'@�Ƒ#?��sh�暄ˤ�>tj3zY�4蔮A�I���H�oG8�5 �㙍ny>��y���~� D�\[��y��k�����Y�w|��gҾ����;���U��ܟc�໾{NW��k����1;;��3�Cؿ�����5�v|gk�.