The relation between majorization theory and quantum information from entanglement monotones perspective
- Department of Computer Engineering, Institute of Science, Okan University, Istanbul (Turkey)
Entanglement has been studied extensively for understanding the mysteries of non-classical correlations between quantum systems. In the bipartite case, there are well known monotones for quantifying entanglement such as concurrence, relative entropy of entanglement (REE) and negativity, which cannot be increased via local operations. The study on these monotones has been a hot topic in quantum information [1-7] in order to understand the role of entanglement in this discipline. It can be observed that from any arbitrary quantum pure state a mixed state can obtained. A natural generalization of this observation would be to consider local operations classical communication (LOCC) transformations between general pure states of two parties. Although this question is a little more difficult, a complete solution has been developed using the mathematical framework of the majorization theory [8]. In this work, we analyze the relation between entanglement monotones concurrence and negativity with respect to majorization for general two-level quantum systems of two particles.
- OSTI ID:
- 22591204
- Journal Information:
- AIP Conference Proceedings, Vol. 1727, Issue 1; Conference: APMAS '15): 5. international advances in applied physics and materials science congress and exhibition, Oludeniz (Turkey), 16-19 Apr 2015; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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