Abstract
In this paper, we are concerned with the non-commutativity measure of quantum discord. We first present an explicit expression of the non-commutativity measure of quantum discord in the two-qubit case. Then we compare the geometric quantum discords for two dynamic models with their non-commutativity measure of quantum discords. Furthermore, we show that the results conducted by the non-commutativity measure of quantum discord are different from those conducted by both or one of the Hilbert-Schmidt distance discord and trace distance discord. These intrinsic differences indicate that the non-commutativity measure of quantum discord is incompatible with at least one of the well-known geometric quantum discords in the quantitative and qualitative representation of quantum correlations.
Highlights
IntroductionBecause quantum information processing is superior to classical information processing, quantum information theory and technology have developed dramatically (cf., e.g., [1,2,3,4,5,6])
In recent years, because quantum information processing is superior to classical information processing, quantum information theory and technology have developed dramatically.As an important resource in quantum computation, quantum correlations have been investigated extensively in the last decades
Compared to the trace distance discord, we find that the non-commutativity measure of quantum discord and the Hilbert-Schmidt distance discord have more similar properties at different α values
Summary
Because quantum information processing is superior to classical information processing, quantum information theory and technology have developed dramatically (cf., e.g., [1,2,3,4,5,6]). As an important resource in quantum computation, quantum correlations have been investigated extensively in the last decades. Quantum discord and its derived measures are important (cf., e.g., [3,5,6,7,8,10,11,12,13]). Find a “Necessary and Sufficient Condition for Nonzero Quantum Discord” (geometric quantum discord for the Hilbert-Schmidt norm). The non-commutativity measure of quantum discord has been discussed in [13]. We select open quantum systems as our resource quantum systems since they are significant quantum systems and they can induce occurrence of decoherence which can cause decreasing of quantum correlations and may induce failure of the algorithms
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
