Fundamentals of quantum information theory
By Michael Keyl. 2002
277 citations recorded by the source corpus.
Abstract In this paper we give a self-contained introduction to the conceptional and mathematical foundations of quantum information theory. In the first part we introduce the basic notions like entanglement, channels, teleportation, etc. and their mathematical description. The second part is focused on a presentation of the quantitative aspects of the theory. Topics discussed in this context include: entanglement measures, channel capacities, relations between both, additivity and continuity properties and asymptotic rates of quantum operations. Finally, we give an overview on some recent developments and open questions.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/3ecdb6a799fc0660cfd310a2fe3ee2f2ac3fd2a3
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In Atomic and Molecular Physics, and Optics
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- Vittorio Giovannetti
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- Filippo Caruso
- Stefano Mancini
- Daniel R. Terno
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- G. Giachetta
Citations in the corpus
- Quantum channels and memory effects (2012, background): “(Keyl, 2002).”
- Quantum Information and Relativity Theory (2002, background): “An extensive review of the mathematical aspects of quantum information theory was given by Keyl (2002).”
- Leggett–Garg inequalities (2013, background): “in [111], modelled by generic quantum channels [112, 113]”
- Quantum channels with memory (2005, background): “( S ∗ is a completely positive and trace-preserving map and represents the channel in Schr¨odinger picture , while S provides the Heisenberg picture representation (cf. Davies’ textbook [28] and Keyl’s survey article [2] for a more extensive discussion of observables, states, and channels).”
- What is geometry in quantum theory (2004, background): “It is also worth mentioning the theory of quantum information and computation which throws new lights on quantum physics [39-41].”