Basic Concepts in Quantum Information
by S. M. Girvin
Publisher: arXiv 2013
Number of pages: 52
These lecture notes will present a brief introduction to the basic theoretical concepts behind the 'second quantum revolution'. These notes will also provide an introduction to 'circuit QED'. In addition to being a novel test bed for non-linear quantum optics of microwave electrical circuits which use superconducting qubits as artificial atoms, circuit QED offers an architecture for constructing quantum information processors.
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These notes provide readers, who have some mathematical background but little exposure to quantum mechanics and quantum computation, with enough material to begin reading the research literature in quantum computation and quantum information theory.
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We survey the growing field of Quantum Hamiltonian Complexity. Our aim is to provide a computer science-oriented introduction to the subject in order to help bridge the language barrier between computer scientists and physicists in the field.
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This book is a compilation of notes from a two-week international workshop on the 'Functional Analysis of Quantum Information Theory'. Contents: Operator Spaces; Entanglement in Bipartite Quantum States; Operator Systems; Quantum Information Theory.
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The draft version of a textbook, introducing the quantum information science viewpoints on condensed matter physics to graduate students. We keep the writing in a self-consistent way, requiring minimum background in quantum information science.