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: In this paper, it was shown that the quantum capacity is lower bounded by the limit of coherent information maximized over the set of input density operators which are proportional to the projections onto the code spaces of symplectic stabilizer codes.
Abstract: The highest information rate at which quantum error-correction schemes work reliably on a channel is called the quantum capacity. Here this is proven to be lower-bounded by the limit of coherent information maximized over the set of input density operators which are proportional to the projections onto the code spaces of symplectic stabilizer codes. The quantum channels to be considered are those subject to independent errors and modeled as tensor products of copies of a completely positive linear map on a Hilbert space of finite dimension. The codes that are proven to have the desired performance are symplectic stabilizer codes. On the depolarizing channel, the bound proven here is actually the highest possible rate at which symplectic stabilizer codes work reliably
30 citations
TL;DR: An analytic framework is established by taking advantage of the analogy to partially polarized electromagnetic fields to introduce vectors and observables that can establish a complete change space and can provide a better understanding of the associated change phenomenology.
Abstract: Optimal utilization of complex synthetic aperture radar imagery for coherent change detection (CCD) is achieved by maximizing the amount of information extracted from the coherent correlation of images. Conventional techniques cannot fully exploit the coherent information due to limited application of few products or indicators, e.g., correlation factor and phase maps. Also, considering the lack of a systematic formulation of change observables and their nature, unsupervised change detection or classification is not feasible. To address this, an analytic framework is established by taking advantage of the analogy to partially polarized electromagnetic fields to introduce vectors and observables that can establish a complete change space. Decomposition of the coherent correlation or change characteristics into this basis set can provide a better understanding of the associated change phenomenology.
30 citations
TL;DR: The quantum theory of ur-objects proposed by C. F. von Weizsacker has to be interpreted as a quantum theory for information as discussed by the authors, and the philosophical consequences of its interpretation as an information theory are demonstrated by means of some important concepts of physics such as time, space, entropy, energy and matter, which in ur theory appear to be directly connected with information as the fundamental substance.
Abstract: The quantum theory of ur-objects proposed by C. F. von Weizsacker has to be interpreted as a quantum theory of information. Ur-objects, or urs, are thought to be the simplest objects in quantum theory. Thus an ur is represented by a two-dimensional Hilbert space with the universal symmetry groupSU(2), and can only be characterized asone bit of potential information. In this sense it is not a spatial but aninformation atom. The physical structure of the ur theory is reviewed, and the philosophical consequences of its interpretation as an information theory are demonstrated by means of some important concepts of physics such as time, space, entropy, energy, and matter, which in ur theory appear to be directly connected with information as “the” fundamental substance. This hopefully will help to provide a new understanding of the concept of information.
30 citations
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TL;DR: Some open questions in quantum information theory (QIT) are described in this article, and most of them were presented in the paper "Open Questions in Quantum Information Theory: A Review".
Abstract: Some open questions in quantum information theory (QIT) are described. Most of them were presented in Ban
30 citations
TL;DR: It is shown that matter arises from quantum–mechanical processes through the constitution of larger ensembles that share some information while living organisms make use of a special form of information selection.
Abstract: Quantum–mechanical systems may be understood in terms of information. When they interact, they modify the information they carry or represent in two, and only two, ways: by selecting a part of the initial amount of (potential) information and by sharing information with other systems. As a consequence, quantum systems are informationally shielded. These features are shown to be general features of nature. In particular, it is shown that matter arises from quantum–mechanical processes through the constitution of larger ensembles that share some information while living organisms make use of a special form of information selection.
30 citations