Pandemic and Post-pandemic Fashion Consumer and Business Trends

COVID-19 has had an impact on both consumers and businesses. It has shifted consumer preferences to enjoy nature more and be more aware of environmental issues than ever before. Many businesses suffered during the pandemic, but some thrived as consumer lifestyles and needs changed. This article looks at changes in the market and consumer behavior during the COVID-19 crisis as well as consumer and business trends following the epidemic. It primarily focuses on consumer positivity and sustainability, as well as a business emphasis on innovation, human capital, personalized consumer experience, and the importance of positivity, inclusivity, and diversity

Realizing Physical Approximation of the Partial Transpose

The partial transpose by which a subsystem's quantum state is solely transposed is of unique importance in quantum information processing from both fundamental and practical point of view. In this work, we present a practical scheme to realize a physical approximation to the partial transpose using local measurements on individual quantum systems and classical communication. We then report its linear optical realization and show that the scheme works with no dependence on local basis of given quantum states. A proof-of-principle demonstration of entanglement detection using the physical approximation of the partial transpose is also reported.Comment: 5 pages with appendix, 3 figure

Experimental Implementation of the Universal Transpose Operation

The universal transpose of quantum states is an anti-unitary transformation that is not allowed in quantum theory. In this work, we investigate approximating the universal transpose of quantum states of two-level systems (qubits) using the method known as the structural physical approximation to positive maps. We also report its experimental implementation in linear optics. The scheme is optimal in that the maximal fidelity is attained and also practical as measurement and preparation of quantum states that are experimentally feasible within current technologies are solely applied.Comment: 4 pages, 4 figure

Purchase and Post-Purchase Intentions of Ethical Consumer Behavior

Two main streams of ethical consumer behavior are ethical consumerism and consumer ethics. While ethical consumerism is defined as consumers\u27 decisions and behaviors to satisfy personal needs considering the results of their decisions with regard to environment and society (Ozkan, 2009), consumer ethics focuses on consumers\u27 rightness of certain actions as a buyer during the purchase and post-purchase process (Dodge, Edwards, & Fullerton, 1996)

Inexact Online Proximal Mirror Descent for time-varying composite optimization

In this paper, we consider the online proximal mirror descent for solving the time-varying composite optimization problems. For various applications, the algorithm naturally involves the errors in the gradient and proximal operator. We obtain sharp estimates on the dynamic regret of the algorithm when the regular part of the cost is convex and smooth. If the Bregman distance is given by the Euclidean distance, our result also improves the previous work in two ways: (i) We establish a sharper regret bound compared to the previous work in the sense that our estimate does not involve $O(T)$ term appearing in that work. (ii) We also obtain the result when the domain is the whole space $\mathbb{R}^n$, whereas the previous work was obtained only for bounded domains. We also provide numerical tests for problems involving the errors in the gradient and proximal operator.Comment: 16 pages, 5 figure