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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14 Aug 2001
TL;DR: A new, mathematically described understanding of physically meaningful information, quantum holography, concerning actual knowledge of the 3 dimensional physical world in natural systems, is proposed, based on demonstrably proven anticipatory quantum mechanical laws and the new awareness in quantum theory.
Abstract: “Can we truly compute, until we understand what information really is?” Gordon Scarrott. A new, mathematically described understanding of physically meaningful information, quantum holography, concerning actual knowledge of the 3 dimensional physical world in natural systems, is proposed. It is based on demonstrably proven anticipatory quantum mechanical laws and the new awareness in quantum theory. This understanding concerns a form of information, which holography shows, almost certainly existed before the origination of living systems and even from the beginning of the cosmos. It produces physically realisable mathematical definitions of the concepts of information, knowledge, learning, intelligence, perception, cognition, etc. Some of its other many advantages are cited. In particular, being quite distinct from bits, which are simply physically realisable mental models for the carriage/transmission of symbolic data (dependent for its meaning on human interpretation) it is not, its mathematical theory indicates, subject to the processing limitations of the combinatorial explosion governing algorithmic complexity, or to the known processing limitations of formal systems, such as the Halting Problem, as they are thought to apply to classical digital computing systems.
4 citations
TL;DR: In this article, it was shown that controlled quantum interference corresponds to measurement in an incomplete basis and implies a nonlocal transfer of classical information, and a test of whether such a generalized measurement is permissible in quantum theory is presented.
Abstract: We point out that controlled quantum interference corresponds to measurement in an incomplete basis and implies a nonlocal transfer of classical information. A test of whether such a generalized measurement is permissible in quantum theory is presented.
4 citations
TL;DR: In this article, a quantum multiple access technique based on optical coherent states is proposed, where the information of several coherent state optical qubits is combined into a single qudit, which is the superposition of almost orthogonal coherent states.
Abstract: In this paper, we propose a novel quantum multiple access technique based on optical coherent states. The information of several coherent state optical qubits is combined into a single qudit, which is the superposition of almost orthogonal coherent states. The original information is encoded into a new Hilbert space with the help of a quantum multiplexer (QMUX) and then recovered at the other end with a quantum demultiplexer (QDEMUX). We introduce the optical tools that complete the coherence state quantum computation model and give the desired circuits. The proposed system can admit a number of users above the optimal limit at the cost of a degradation of the transmitted data. In this and some other aspects, it can be regarded as a quantum analogue of classical Code Division Multiple Access techniques.
4 citations
TL;DR: In this paper, the dynamics of four fidelities are studied for mixed coherent states and mixed squeezed states of Fermi-resonance coupling vibrations in molecule CS2, and it is demonstrated that those fidelity are dominant-positively correlated with each other.
Abstract: The dynamics of four fidelities is studied for mixed coherent states and mixed squeezed states of Fermi-resonance coupling vibrations in molecule CS2. It is demonstrated that those fidelities are dominant-positively correlated with each other, one of which by Wang et al. (Phys. Lett. A 373, 58 (2008)) is the most striking in dominant anti-correlation with quantum mutual entropy. That is useful for molecular quantum computing and quantum information.
4 citations
TL;DR: In this article, the authors considered the concept of entropy and pressure for the operator ρ acting on density matrices over a finite N-dimensional complex Hilbert space and developed a more dynamical point of view of this theory.
Abstract: Quantum Information is a new area of research which has been growing rapidly since last decade. This topic is very close to potential applications to the so called Quantum Computer. In our point of view it makes sense to develop a more “dynamical point of view” of this theory. We want to consider the concepts of entropy and pressure for “stationary systems” acting on density matrices which generalize the usual ones in Ergodic Theory (in the sense of the ThermodynamicFormalism of R. Bowen, Y. Sinai and D. Ruelle). We consider the operator ℒ acting on density matrices ρ ∈ ℳ N over a finite N-dimensional complex Hilbert space ℒ(ρ) : = ∑ i = 1 k tr(W i ρW i ∗ )V i ρV i ∗ , where W i and V i , i = 1, 2, …k are operators in this Hilbert space. ℒ is not a linear operator. In some sense this operator is a version of an Iterated Function System (IFS). Namely, the V i (. )V i ∗ = : F i (. ), i = 1, 2, …, k, play the role of the inverse branches (acting on the configuration space of density matrices ρ) and the W i play the role of the weights one can consider on the IFS. We suppose that for all ρ we13pc]First author considered as corresponding author. Please check. have that ∑ i = 1 k { tr}(W i ρW i ∗ ) = 1. A family W : = { W i } i = 1, …, k determines a Quantum Iterated Function System (QIFS) ℱ W , ℱ W = { ℳ N , F i , W i } i = 1, …, k .
4 citations