Conditional states and entropy in qudit-qubit systems

Tsallis Entropy and Conditional Tsallis Entropy of Fuzzy Partitions

The purpose of this study is to define the concepts of Tsallis entropy and conditional Tsallis entropy of fuzzy partitions and to obtain some results concerning this kind entropy. We show that the Tsallis entropy of fuzzy partitions has the subadditivity and concavity properties. We study this information measure under the refinement and zero mode subset relations. We check the chain rules for ...

Quantum Error Correction Codes-From Qubit to Qudit

Quantum computation (QC), with inherent parallelism from the superposition principle of quantum mechanics, promises vast performance improvement over classical computing. QC has become the subject of increasing research interests since Shor showed an efficient algorithm for integer factorization in a quantum system providing exponential speed-up compared with any known classical algorithm. As i...

Unfrustrated qudit chains and their ground states

Citation Movassagh, Ramis, et al. "Unfrustrated qudit chains and their ground states. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We investigate chains of d-di...

Residual Entropy , Conditional Entropy And

A Preferred Definition of Conditional Rényi Entropy

The Rényi entropy is a generalization of Shannon entropy to a one-parameter family of entropies. Tsallis entropy too is a generalization of Shannon entropy. The measure for Tsallis entropy is non-logarithmic. After the introduction of Shannon entropy , the conditional Shannon entropy was derived and its properties became known. Also, for Tsallis entropy, the conditional entropy was introduced a...