4,830 research outputs found
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
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