48,443 research outputs found
State reconstruction of finite dimensional compound systems via local projective measurements and one-way classical communication
For a finite dimensional discrete bipartite system, we find the relation
between local projections performed by Alice, and Bob post-selected state
dependence on the global state submatrices. With this result the joint state
reconstruction problem for a bipartite system can be solved with strict local
projections and one-way classical communication. The generalization to
multipartite systems is straightforward.Comment: 4 pages, 1 figur
Large cities are less green
We study how urban quality evolves as a result of carbon dioxide emissions as
urban agglomerations grow. We employ a bottom-up approach combining two
unprecedented microscopic data on population and carbon dioxide emissions in
the continental US. We first aggregate settlements that are close to each other
into cities using the City Clustering Algorithm (CCA) defining cities beyond
the administrative boundaries. Then, we use data on emissions at a
fine geographic scale to determine the total emissions of each city. We find a
superlinear scaling behavior, expressed by a power-law, between
emissions and city population with average allometric exponent
across all cities in the US. This result suggests that the high productivity of
large cities is done at the expense of a proportionally larger amount of
emissions compared to small cities. Furthermore, our results are substantially
different from those obtained by the standard administrative definition of
cities, i.e. Metropolitan Statistical Area (MSA). Specifically, MSAs display
isometric scaling emissions and we argue that this discrepancy is due to the
overestimation of MSA areas. The results suggest that allometric studies based
on administrative boundaries to define cities may suffer from endogeneity bias
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