Local implementation of nonlocal operations of block forms

We investigate the local implementation of nonlocal operations with the block matrix form, and propose a protocol for any diagonal or offdiagonal block operation. This method can be directly generalized to the two-party multiqubit case and the multiparty case. Especially, in the multiparty cases, any diagonal block operation can be locally implemented using the same resources as the multiparty control-U operation discussed in Ref. [Eisert et al., Phys. Rev. A 62, 052317(2000)]. Although in the bipartite case, this kind of operations can be transformed to control-U operation using local operations, these transformations are impossible in the multiparty cases. We also compare the local implementation of nonlocal block operations with the remote implementation of local operations, and point out a relation between them.Comment: 7 pages, 3 figure

Guest Artist Recital: Ning An, piano

KSU School of Music presents guest artist recital featuring pianist Ning An.https://digitalcommons.kennesaw.edu/musicprograms/1818/thumbnail.jp

A Mean Convection Finite Difference Method for Solving Black Scholes Model for Option Pricing

In this research, we proposed a Mean Convection Finite Difference Method (MCFDM) for European options pricing. The Black-Scholes model, which describes the dynamics of a financial asset, was first transformed into a convection-diffusion equation. We then used the finite difference method to discretize time and price, and introduced a tuning parameter to enhance the convection term. Specified the boundary and initial conditions for call and put options of European options, and performed numerical calculations to obtain a numerical solution and error estimation. By varying the strength of the strike price and risk-free interest rate, we explored the accuracy and stability of our predicted prices. Finally, we compared our proposed method with those obtained using the Crank-Nicolson Finite Difference Method (CFDM) and Monte Carlo method. Our numerical results demonstrate the efficiency and accuracy of our proposed method, which outperformed the CFDM and Monte Carlo methods in terms of accuracy and speed

Toward Learning Societies for Digital Aging

The global aging population presents significant challenges for societies worldwide, particularly in an increasingly digitalized era. The Learning Society is crucial in preparing different societies and their people to address these challenges effectively. This paper extends this concept and proposes a new conceptual framework, Learning Societies for Digital Aging, empowering all members across various sectors from different ages to acquire and develop the necessary knowledge, skills, and competencies to navigate and thrive in an increasingly digital world. It presents seven guiding principles for developing this conceptual framework: 1) Centering Humanistic Values, 2) Embracing Digital, 3) Cultivating Learning Societies, 4) Advancing Inclusiveness, 5) Taking Holistic Approaches, 6) Encouraging Global Knowledge Sharing, and 7) Fostering Adaptability. By integrating these guiding principles into the design, implementation, and evaluation of formal, nonformal, and informal learning opportunities for people of all ages, stakeholders can contribute to creating and nurturing learning societies that cater to aging populations in the digital world. This paper aims to provide a foundation for further research and action toward building more inclusive, adaptive, and supportive learning environments that address the challenges of digital aging and foster more empathetic, informed, and prepared societies for the future of aging