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Journal of Anhui University

Measure-induced non-classicality in a family of qubit-qutrit correlated states

Zhang Zhan-ju

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

Measure-induced non-classicality( MINC) in a family of bipartite separable qubit-qutrit correlated states was evaluated by using the MID method proposed by the reference [Luo S L. Using measurement-induced disturbance to characterize correlations as classical or quantum[J]. Phys Rev A,2008,77: 022301]. Specifically,classical correlation in each state was derived via the spectrum resolution technique and then the MINC( i. e.,quantum correlation) was extracted. The MINC was amply analyzed so that some distinct features were exposed.

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Measure-induced non-classicality( MINC) in a family of bipartite separable qubit-qutrit correlated states was evaluated by using the MID method proposed by the reference [Luo S L. Using measurement-induced disturbance to characterize correlations as classical or quantum[J]. Phys Rev A,2008,77: 022301]. Specifically,classical correlation in each state was derived via the spectrum resolution technique and then the MINC( i. e.,quantum correlation) was extracted. The MINC was amply analyzed so that some distinct features were exposed.
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Quantum correlations in a family of two-qubit separable classical-quantum correlated states are intensively studied with four different approaches, namely, quantum discord [Phys. Rev. Lett. 88 (2002) 017901], measurement-induced disturbance (MID) [ Phys. Rev. A 77 (2008) 022301 ], ameliorated MID [ J. Phys. A: Math. Theor. 44 (2011) 352002 ] and quantum dissonance [ Phys. Rev. Lett. 104 (2010) 080501 ]. Quantum correlations captured with different approaches are compared and discussed so that their three distinct features are exposed.
In [S. L. Luo, Using measurement induced disturbance to characterize correlations as classical or quantum, Phys. Rev. A77 (2008) 022301], the author presented a statistical correlation measure for bipartite quantum states using measurement induced disturbance. In this paper, motivated by this correlation measure, we obtain some necessary conditions for [Formula: see text]-classical states in multipartite quantum systems, and obtain a relation between the set of [Formula: see text]-classical states and the set of [Formula: see text]-product states; Secondly, we introduce a class of correlation measures based on trace distance using measurement induced disturbance in order to quantify the strength of correlation for non-[Formula: see text]-classical states; Lastly, we introduce the concept of quantum channel with respect to [Formula: see text]-partition, it is simply denoted by identical-[Formula: see text]-channel, and furthermore discuss the influences of the correlation measure under identical-[Formula: see text]-channel.
School of Mathematics and Physics, Queen’s University, Belfast BT7 1NN, United Kingdom(Dated: August 22, 2010)We investigate quantum correlations versus global von Neumann entropy, focusing explicitly on two-qubitstates. We establish a hierarchy of non-classicality indicators, showing that the measurement-induced distur-bance (MID) defined in [S. Luo, Phys. Rev. A, 77, 022301 (2008)] can be non-null and even maximal on“classical” states. We thus consider an ameliorated versio n of MID, optimized over all local measurements, andderive its expression for general two-qubit states. We thenstudy the analytical relation between amelioratedMID and quantum discord, characterizing the maximally non-classical two-qubit mixed states that simultane-ously extremize both such non-classicality quantifiers at given von Neumann entropy.
In contrast to the seminal entanglement-separability paradigm widely used in quantum information theory, we introduce a quantum-classical dichotomy in order to classify and quantify statistical correlations in bipartite states. This is based on the idea that while in the classical description of nature measurements can be carried out without disturbance, in the quantum description, generic measurements often disturb the system and the disturbance can be exploited to quantify the quantumness of correlations therein. It turns out that certain separable states still possess correlations of a quantum nature and indicates that quantum correlations are more general than entanglement. The results are illustrated in the Werner states and the isotropic states, and are applied to quantify the quantum advantage of the model of quantum computation proposed by Knill and Laflamme [Phys. Rev. Lett. 81, 5672 (1998)].