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 article, it was shown that the Holevo bound can be further extended to obtain one that is yet again tighter for incomplete measurements, which is a quantum version of the concavity of the mutual information.
Abstract: The Holevo bound is a bound on the mutual information for a given quantum encoding. In 1996 Schumacher, Westmoreland, and Wootters [Phys. Rev. Lett. 76, 3452 (1996)] derived a bound that reduces to the Holevo bound for complete measurements, but that is tighter for incomplete measurements. The most general quantum operations may be both incomplete and inefficient. Here we show that the bound derived by SWW can be further extended to obtain one that is yet again tighter for inefficient measurements. This allows us, in addition, to obtain a generalization of a bound derived by Hall, and to show that the average reduction in the von Neumann entropy during a quantum operation is concave in the initial state, for all quantum operations. This is a quantum version of the concavity of the mutual information. We also show that both this average entropy reduction and the mutual information for pure state ensembles, are Schur concave for unitarily covariant measurements; that is, for these measurements, information ...
16 citations
TL;DR: In this article, the Gazeau-Klauder formalism was used to construct coherent states of non-Hermitian quantum systems, and the construction of coherent states following Klauder's minimal prescription.
16 citations
TL;DR: In this article, the possibility of recovering and protecting the entanglement of accelerated 2-qubit and 2-qutrit systems is discussed using weak-reverse measurements, where the accelerated partial entangled states are more responsive to be protected than the accelerated maximum entangled states.
Abstract: The possibility of recovering and protecting the entanglement of accelerated 2-qubit and 2-qutrit systems is discussed using weak-reverse measurements. The accelerated partial entangled states are more responsive to be protected than the accelerated maximum entangled states. The accelerated coded local information in qutrit system is more robust than that encoded in a 2-qubit system, and it can be conserved even for larger values of accelerations. Meanwhile, the non-accelerated information in qubit system is not affected by the local operation compared with that depicted on qutrit system. For larger values of accelerations, the weak-reverse measurements can improve the coherent information at the expanse of the accelerated information.
16 citations
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TL;DR: A finite-cardinality's set of new ideas concerning algorithmic information issues in Quantum Mechanics is introduced and analyzed.
Abstract: taking aside the review part, a finite-cardinality's set of new ideas concerning algorithmic information issues in Quantum Mechanics is introduced and analyzed
16 citations
TL;DR: The optimal measurement strategies for maximizing the fidelity given a source that encodes information on the symmetric qubit-states are presented.
Abstract: We compare and contrast the error probability and fidelity as measures of the quality of the receiver's measurement strategy for a quantum communications system. The error probability is a measure of the ability to retrieve classical information and the fidelity measures the retrieval of quantum information. We present the optimal measurement strategies for maximizing the fidelity given a source that encodes information on the symmetric qubit-states.
16 citations