Some Numerical Cases of Entanglement Concentration Using Entanglement Swapping

• Published in: Journal of the Korean Physical Society Vol. 74; no. 5; pp. 421 - 427
• Main Author: Song, Daegene
• Format: Journal Article
• Language: English
• Published: Seoul The Korean Physical Society 01.03.2019; Springer Nature B.V; 한국물리학회
• Subjects: Coefficients; Entangled states; Mathematical and Computational Physics; Optimization; Particle and Nuclear Physics; Physics; Physics and Astronomy; Protocol (computers); Quantum entanglement; Quantum phenomena; Quantum teleportation; Quantum theory; Teleportation; Theoretical; 물리학; Optimality; Numerical Cases; Entanglement Swapping
• ISSN: 0374-4884; 1976-8524
• DOI: 10.3938/jkps.74.421

The quantum information network is important in establishing next-generation technology. In particular, maximal and long-distance entangled states are important in realizing a number of quantum information technologies, such as teleportation, key distribution and so forth. Entanglement swapping is a scheme that creates a long-distance network by using multiple short ones. Entanglement swapping protocols applied to non-maximal correlations have been thoroughly investigated by various people. Rather than providing any new analytic results, some examples of a numerical approach will be provided in this paper. In particular, the paper reveals the existence of different classes of coefficients that approximate the optimal outcome ( i.e. , the weaker average maximal entanglement between the two initial states). The new class of states is non-trivial in the sense that their coefficients are just as widely distributed as the coefficients of states satisfying optimality conditions are. Moreover, we will numerically examine entanglement swapping methods and show the distribution of optimal and general coefficients for three and four 2-level correlations.