Topic
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: A quantum inspired model of the human mental lexicon is introduced and a preliminary set of pilot data suggesting that concept combinations can indeed behave non-separably is presented.
Abstract: Measures and theories of information abound, but there are few formalised methods for treating the contextuality that can manifest in different information systems. Quantum theory provides one possible formalism for treating information in context. This paper introduces a quantum inspired model of the human mental lexicon. This model is currently being experimentally investigated and we present a preliminary set of pilot data suggesting that concept combinations can indeed behave non-separably.
20 citations
01 Mar 2006
TL;DR: In this paper, the Lieb-Thirring inequality is used to prove that the minimal entropy output state from a product channel is always a product state for diagonal channel components.
Abstract: Quantum information theory has generated several interesting conjectures involving products of completely positive maps on matrix algebras, also known as quantum channels. In particular it is conjectured that the minimal entropy output state from a product channel is always a product state. We show how the Lieb-Thirring inequality can be used to prove this conjecture for one special case, namely when one of the components of the product channel is of the type known as a diagonal channel.
20 citations
TL;DR: This work defines an ideal optimal quantum measurement as that measurement on the apparatus for which the average algorithmic information in the measurement record is minimized, and applies the definition to a chaotic system subject to continuous (Markov) quantum nondemolition measurements.
Abstract: We define an ideal optimal quantum measurement as that measurement on the apparatus for which the average algorithmic information in the measurement record is minimized. We apply the definition to a chaotic system subject to continuous (Markov) quantum nondemolition measurements. For optimized measurements the average information in the record is much closer to the von Neumann entropy than in the nonoptimized case, but increases more quickly in the chaotic region than in the regular region.
20 citations
TL;DR: The recognition activity of biomacromolecules based on quantum non-demolition measurements is regarded as the basis of information processing and Reflective arrows in the set of mappings appearing from quantum measurements correspond to the Gödel numbers created inside a system overcoming its incompleteness.
Abstract: The recognition activity of biomacromolecules based on quantum non-demolition measurements is regarded as the basis of information processing. Reflective arrows in the set of mappings appearing from quantum measurements correspond to the Godel numbers created inside a system overcoming its incompleteness. Temporal evolution is a consequence of contradictory statements about the whole system in which a reflective arrow is both an element of the system and its signification. It results from the solution of a paradox in which the system generates new descriptions non-deducible from its previous states. The active combinatorial process of self modification of information, being an internalized language game, allows a system to create Godel numbers. The whole system is constructed according to percolating coherent events, providing 'vertical' self-assembly that is predetermined by the encoding and internal language games. © 1998 Elsevier Science Ireland Ltd. All rights reserved.
20 citations