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Coherent information
About: Coherent information is a research topic. Over the lifetime, 1225 publications have been published within this topic receiving 46672 citations.
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TL;DR: In this paper, the effect of dispersion and resonance terms in the exciton-phonon interaction is analyzed using Green function formalism and present J-aggregate systems as robust channels for large scale energy propagation for a select range of parameters.
Abstract: We examine the unique spectroscopic features which give rise to quantum information processing attributes of one-dimensional
J-aggregate systems, and as revealed by entanglement measures such as the von Neumann entropy, Wootters concurrence and Wei-Goldbart geometric measure of entanglement. The effect of dispersion and resonance terms in the exciton-phonon interaction are analyzed using Green function formalism and present J-aggregate systems as robust channels for large scale energy propagation for a select range of parameters. We show that scaling of the third order optical response $\chi^{(3)}$ with exciton delocalization size provides an experimentally demonstrable measure of quantifying multipartite entanglement in J-aggregates.
2 citations
TL;DR: This work defines the genuine n-partite mutual information which can be easily calculated and is symmetric, nonnegative, bounded and more accurate for measuring multipartite states.
Abstract: For any n-partite state ρA1A2⋯An, we define its quantum mutual information matrix as an n×n matrix whose (i,j)-entry is given by quantum mutual information I(ρAiAj). Although each entry of quantum mutual information matrix, like its classical counterpart, is also used to measure bipartite correlations, the similarity ends here: quantum mutual information matrices are not always positive semidefinite even for collections of up to 3-partite states. In this work, we define the genuine n-partite mutual information which can be easily calculated. This definition is symmetric, nonnegative, bounded and more accurate for measuring multipartite states.
2 citations
02 Oct 1992
TL;DR: The most efficient way of retrieving quantum information is not a direct uquantum measurement” (as defined by von Neumann), but an indirect method similar to heterodyne detection in communications engineering.
Abstract: Information encoded in non-orthogonal quantum states cannot be duplicated, nor amplified, and in general at is only partly recoverable. The most efficient way of retrieving it is not a direct uquantum measurement” (as defined by von Neumann), but an indirect method similar to heterodyne detection in communications engineering. The mathematical representation of this process requires the introduction of a positive operator valued measure. The optimization of these measures is not yet fully undersiood. An interesting and potentially important application of quantum information is its use an cryptography.
2 citations
Posted Content•
TL;DR: In this article, it was shown that the Shannon information density continuously changes in the quantum-to-quantum transition and that the principle of least action in quantum mechanics is actually the requirement for the energy to be bounded from below.
Abstract: Quantum parallelism implies a spread of information over the space in contradistinction to the classical mechanical situation where the information is "centered" on a fixed trajectory of a classical particle. This means that a quantum state becomes specified by more indefinite data. The above spread resembles, without being an exact analogy, a transfer of energy to smaller and smaller scales observed in the hydrodynamical turbulence. There, in spite of the presence of dissipation (in a form of kinematic viscosity), energy is still conserved. The analogy with the information spread in classical to quantum transition means that in this process the information is also conserved. To illustrate that, we show (using as an example a specific case of a coherent quantum oscillator) how the Shannon information density continuously changes in the above transition . In a more general scheme of things, such an analogy allows us to introduce a "dissipative" term (connected with the information spread) in the Hamilton-Jacobi equation and arrive in an elementary fashion at the equations of classical quantum mechanics (ranging from the Schr\"{o}dinger to Klein-Gordon equations). We also show that the principle of least action in quantum mechanics is actually the requirement for the energy to be bounded from below.
2 citations
TL;DR: A quantitative description of some of the ideas and techniques fundamental to quantum information science can be found in this article, where the authors also consider mixed states in the context of quantum information systems.
Abstract: Quantum information science is a young and vigorously growing area of research which promises enormous potential and opportunities. This article, which will appear in two parts, gives a quantitative description of some of the ideas and techniques fundamental to this discipline. Considerations involving mixed states are reserved for Part 2.
2 citations