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Quantum Information Theory: Quantum Channel, Povm, Mutually Unbiased Bases, Quantum Finite Automata, Quantum T-Design, Walter de Brouwer
by:General Books LLC
Chapters: Quantum Channel, Povm, Mutually Unbiased Bases, Quantum Finite Automata, Quantum T-Design, Walter de Brouwer, Quantum Relative Entropy, Peres-Horodecki Criterion, Joint Quantum Entropy, Schmidt Decomposition, Entanglement Witness, Quantum Mutual Information, Greenberger-horne-zeilinger State, No Teleportation Theorem, Channel-State Duality,...
Chapters: Quantum Channel, Povm, Mutually Unbiased Bases, Quantum Finite Automata, Quantum T-Design, Walter de Brouwer, Quantum Relative Entropy, Peres-Horodecki Criterion, Joint Quantum Entropy, Schmidt Decomposition, Entanglement Witness, Quantum Mutual Information, Greenberger-horne-zeilinger State, No Teleportation Theorem, Channel-State Duality, Conditional Quantum Entropy, Coherent Information, Holevo's Theorem, Quantum Spin Model, W State, Superoperator. Source: Wikipedia. Pages: 90. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: In quantum information theory, a quantum channel is a communication channel which can transmit quantum information, as well as classical information. An example of quantum information is the state of a qubit. An example of classical information is a text document transmitted over the internet. More formally, quantum channels are completely positive, trace preserving maps between spaces of operators. In other words, a quantum channel is just a quantum operation viewed not merely as the reduced dynamics of a system but as a pipeline intended to carry quantum information. We will assume for the moment that all state spaces of the systems considered, classical or quantum, are finite dimensional. The memory-less in the section title carries the same meaning as in classical information theory: the output of a channel at a given time depends only upon the corresponding input and not any previous ones. Consider quantum channels that transmit only quantum information. This is precisely a quantum operation, whose properties we now summarize. Let and be the state spaces (finite-dimensional Hilbert spaces) of the sending and receiving ends, respectively, of a channel. will denote the family of operators on . In the Schrödinger picture, a purely quantum channel is a m...More: http://booksllc.net/?id=1013550
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