Benchmarking one-shot distillation in general quantum resource theories

We study the one-shot distillation of general quantum resources, providing a unified quantitative description of the maximal fidelity achievable in this task, and revealing similarities shared by broad classes of resources. We establish fundamental quantitative and qualitative limitations on resource distillation applicable to all convex resource theories. We show that every convex quantum resource theory admits a meaningful notion of a pure maximally resourceful state which maximizes several monotones of operational relevance and finds use in distillation. We endow the generalized robustness measure with an operational meaning as an exact quantifier of performance in distilling such maximal states in many classes of resources including bi- and multipartite entanglement, multi-level coherence, as well as the whole family of affine resource theories, which encompasses important examples such as asymmetry, coherence, and thermodynamics.Comment: 8+5 pages, 1 figure. v3: fixed (inconsequential) error in Lemma 1

Exploring the supply chain management of fair trade business:Case study of a fair trade craft company in China

For two decades, fair trade has served as an alternative approach of trading that encourages minimal returns, sustainability, and ethics, by offering producers in developing countries better trading conditions and secured rights. This movement has emerged recently in China, with companies involving domestic trading between richer and poorer regions. However, lack of third-party certification, standardization, process control, public awareness, and brand recognition continue to be challenges. To understand the current fair trade business in China, this paper investigates important decision-making areas from a supply chain management perspective. With the nature of empirical studies, an in-depth case analysis of a fair trade craft company has been conducted along with the purchasing and supplier relationship management, internal operations, and marketing and customer relationship management. This company currently combines the role of fair trade organization and retailer, by implementing an in-house certification system and vertically integrating the supply chain. Findings also highlight risk at each stage of supply chain. Compared with the western society, the unique features of Chinese fair trade business are captured with prioritized areas for improvement. This research contributes to the fair trade literature by providing exploratory study into emerging issues in the supply chain, particularly inside developing countries. The recommendations also create value for policy-makers and practitioners of fair trade companies

Fluctuation and Inertia

In this work, using Jacobson's idea: '$\delta$Q=TdS hold for all the local Rindler causal horizons through each spacetime point', we found that the transitions between the excited and ground state of a particle in a linear acceleration satisfy the fluctuation theorem. The up transition from the ground state to the excited state is an entropy-decreasing process, which requires an external force to contribute equal entropy increase to satisfy the second law of thermodynamics.Comment: 5 page

Quantifying the resource content of quantum channels: An operational approach

We propose a general method to operationally quantify the resourcefulness of quantum channels via channel discrimination, an important information processing task. A main result is that the maximum success probability of distinguishing a given channel from the set of free channels by free probe states is exactly characterized by the resource generating power, i.e. the maximum amount of resource produced by the action of the channel, given by the trace distance to the set of free states. We apply this framework to the resource theory of quantum coherence, as an informative example. The general results can also be easily applied to other resource theories such as entanglement, magic states, and asymmetry.Comment: v2. 9 pages, new references are added v1. 8 pages, no figure