![]() The Q canon provides a framework for describing encoding into and decoding from stabilizer codes, and for describing how one recovers from errors. QUANTUM ERROR CORRECTION AND QUANTUM MEASUREMENT CODEBasic subjects as well as advanced theory and a survey of topics from cutting-edge research make this book invaluable both as a pedagogical introduction at the graduate level and as a reference for experts in quantum information science. The insight that we can describe measurements in quantum error correction that act the same way on all code states, is the essence of the stabilizer formalism. The book is not limited to a single approach, but reviews many different methods to control quantum errors, including topological codes, dynamical decoupling and decoherence-free subspaces. This comprehensive text, written by leading experts in the field, focuses on quantum error correction and thoroughly covers the theory as well as experimental and practical issues. Quantum error correction codes to correct an error in this single qubit employ syndrome measurements. Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation. The early pioneers of classical computers, such as von Neumann worked on classical error correction, which has been generalized to quantum mechanics to show. Quantum error correction also employs syndrome measurements. When the quantum state being measured is a pure state this formula reduces to. An error can then be reversed by applying a corrective operation based on the syndrome. To achieve large scale quantum computers and communication networks it is essential not only to overcome noise in stored quantum information, but also in general faulty quantum operations. In quantum mechanics, the POVM element is associated with the measurement outcome, such that the probability of obtaining it when making a measurement on the quantum state is given by. Quantum computation and information is one of the most exciting developments in science and technology of the last twenty years. ![]()
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