On the Equivalence of von Neumann and Thermodynamic Entropy

Prunkl, Carina

doi:10.1086/707565

Cited by 6 publications

(3 citation statements)

References 23 publications

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“…The entropy analysis of land use types is an information model that expresses the richness and orderliness of land use types through the number of land use types and the proportion of the unit area occupied by the types (Figure 3). Its principle is similar to that of thermodynamics, in which entropy represents the degree of molecular disorder in a thermodynamic system (Prunkl, 2018). We selected the standard deviation (S) of a simple statistical variable to represent the richness of land use type information.…”

Section: Built-up Area Boundary Extractionmentioning

confidence: 99%

Nature-based Solutions for Urban Resilience and Human Health

2024

Frontiers Research Topics

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Climate change and rapid urbanization have significant impacts on biodiversity and ecosystem functions and services. Nature-based solutions (NBS) is an action to work with and enhance nature to solve social challenges, and NBS is an "umbrella concept" for other mature nature-based approaches. Blue-green spaces (BGS) can provide a wide range of ecosystem services, including mitigation of urban heat island effects, reduction of flooding, mitigation of air pollution, and provision of recreational spaces, thereby promoting physical and mental health. Hence, NBSs can serve as cost-effective climate mitigation and adaptation tool that contribute to additional co-benefits for ecosystem health and human well-being. Environmentalists, epidemiologists, ecologists, urban planners, and policymakers have paid more attention to NBSs for urban resilience and human health. In this Research Topic, we hope to discuss these topics: (1) ecological exposure and health benefits; (2) climate adaptation and human health promotion possibilities by NBSs; (3) methodological and theoretical approaches as well as technologies of NBSs corresponding to urban resilience; (4) underlying pathways and potential mechanisms of NBSs in improving human health; and (5) policies and management for planning and design of the successful implementation of NBSs in relation to urban resilience and human health. This Research Topic focuses on, but is not restricted to the following issues: • Nature-based interventions for climate adaptation. • Ecological exposure and physical and psychological health outcomes. • Climate adaption environmental policies and management.

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Section: Built-up Area Boundary Extractionmentioning

confidence: 99%

Nature-based Solutions for Urban Resilience and Human Health

2024

Frontiers Research Topics

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“…The entropy analysis of land use types is an information model that expresses the richness and orderliness of land use types through the number of land use types and the proportion of the unit area Frontiers in Environmental Science frontiersin.org occupied by the types (Figure 3). Its principle is similar to that of thermodynamics, in which entropy represents the degree of molecular disorder in a thermodynamic system (Prunkl, 2018). We selected the standard deviation (S) of a simple statistical variable to represent the richness of land use type information.…”

Section: Built-up Area Boundary Extractionmentioning

confidence: 99%

Boundary green infrastructure: a green infrastructure connecting natural and artificial spaces

Yuan,

Wu,

Liu

et al. 2023

Front. Environ. Sci.

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As a naturally-based solution (NBS), green infrastructural network constructing can improve urban ecological resilience and support sustainable urban development. However, as the Frontier of urban expansion, the boundary of built-up areas has little research on the boundary green infrastructure (BGI) connecting natural and artificial spaces. In order to make up for the shortcomings of relevant research, we propose a method for identifying BGI and analyze its landscape pattern characteristics. We selected 15 European cities as cases to extract the boundaries of built-up areas. Moreover, we used morphological pattern analysis (MSPA) to identify the ecological source and select the best distance threshold for the landscape connectivity model to identify the BGI range. Through the gradient area method and MSPA, the BGI landscape pattern characteristics of the case cities were analyzed quantitatively. The BGI scale was affected by the area of the built-up area and the threshold of GI landscape connectivity distance. Additionally, the BGI space contained a small number of large ecological sources and many scattered and small fragmented patches. The best landscape model of BGI was the surrounding pattern, followed by the aggregation pattern, which had good landscape connectivity; however, the fragmentation of the scattered pattern was high. Lastly, the ecological core area in BGI was the main landscape type; it has a high landscape connection function for the GI network inside and outside the built-up area and promotes biological exchange inside and outside the built-up area. This study proves that BGI has an important ecological significance, can guarantee the scientific nature of the NBS method, and ensures the ecological security pattern of cities.

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“…Even more complications arise once we move to the quantum regime, because it is often assumed that these bounds also apply to the von Neumann entropy, and yet there are ongoing controversies about whether or not the von Neumann entropy is equivalent to the thermodynamic entropy and/or Shannon entropy[23][24][25]. We will discuss the von Neumann entropy further in Part II of this paper 5.…”

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confidence: 99%

The Operational Choi–Jamiołkowski Isomorphism

Adlam¹

2020

Entropy

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In this article, I use an operational formulation of the Choi–Jamiołkowski isomorphism to explore an approach to quantum mechanics in which the state is not the fundamental object. I first situate this project in the context of generalized probabilistic theories and argue that this framework may be understood as a means of drawing conclusions about the intratheoretic causal structure of quantum mechanics which are independent of any specific ontological picture. I then give an operational formulation of the Choi–Jamiołkowski isomorphism and show that, in an operational theory which exhibits this isomorphism, several features of the theory which are usually regarded as properties of the quantum state can be derived from constraints on non-local correlations. This demonstrates that there is no need to postulate states to be the bearers of these properties, since they can be understood as consequences of a fundamental equivalence between multipartite and temporal correlations.

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On the Equivalence of von Neumann and Thermodynamic Entropy

Cited by 6 publications

References 23 publications

Nature-based Solutions for Urban Resilience and Human Health

Nature-based Solutions for Urban Resilience and Human Health

Boundary green infrastructure: a green infrastructure connecting natural and artificial spaces

The Operational Choi–Jamiołkowski Isomorphism

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