557 research outputs found
Tsirelson's Bound Prohibits Communication Through a Disconnected Channel
Why does nature only allow nonlocal correlations up to Tsirelson's bound and
not beyond? We construct a channel whose input is statistically independent of
its output, but through which communication is nevertheless possible if and
only if Tsirelson's bound is violated. This provides a statistical
justification for Tsirelson's bound on nonlocal correlations in a bipartite
setting.Comment: 9 pages, 2 figures. Title and abstract modified, exposition
simplifie
Low-Dimensional Topology of Information Fusion
We provide an axiomatic characterization of information fusion, on the basis
of which we define an information fusion network. Our construction is
reminiscent of tangle diagrams in low dimensional topology. Information fusion
networks come equipped with a natural notion of equivalence. Equivalent
networks `contain the same information', but differ locally. When fusing
streams of information, an information fusion network may adaptively optimize
itself inside its equivalence class. This provides a fault tolerance mechanism
for such networks.Comment: 8 pages. Conference proceedings version. Will be superceded by a
journal versio
Computing with Coloured Tangles
We suggest a diagrammatic model of computation based on an axiom of
distributivity. A diagram of a decorated coloured tangle, similar to those that
appear in low dimensional topology, plays the role of a circuit diagram.
Equivalent diagrams represent bisimilar computations. We prove that our model
of computation is Turing complete, and that with bounded resources it can
moreover decide any language in complexity class IP, sometimes with better
performance parameters than corresponding classical protocols.Comment: 36 pages,; Introduction entirely rewritten, Section 4.3 adde
Computing by nowhere increasing complexity
A cellular automaton is presented whose governing rule is that the Kolmogorov
complexity of a cell's neighborhood may not increase when the cell's present
value is substituted for its future value. Using an approximation of this
two-dimensional Kolmogorov complexity the underlying automaton is shown to be
capable of simulating logic circuits. It is also shown to capture trianry logic
described by a quandle, a non-associative algebraic structure. A similar
automaton whose rule permits at times the increase of a cell's neighborhood
complexity is shown to produce animated entities which can be used as
information carriers akin to gliders in Conway's game of life
Monuments of Legitimacy: 17th Century Tokugawa-Sponsored Architecture as Political Objects
This work aims to synthesize art history, historical memory, and Tokugawa-era Japanese politics with an art history approach and cultural analysis. It takes a more complete look at the politics of Tokugawa Ieyasu’s death and the significance of memorial and religious architecture as political works. It examines the utilization of architecture as a way to elevate and legitimize the Tokugawa, demonstrating that policy was not the only way for the Tokugawa to solidify their legacy and suggesting that key figures like Ieyasu were more important to the religious and political structures of Tokugawa Japan in death than they were in life.
This paper begins by discussing the immediate political effects of Ieyasu’s death and the establishment of the Nikko Toshogu before discussing the physical aspects of the shrine and comparing it with the Ise Shrine to establish the relationship between the shogun and the Emperor. Finally, it examines the mausoleum of Sūgen-in, Tokugawa Iemitsu’s mother, in order to contextualize the shift of the architectural style of female mausoleums to emulate those of their male counterparts, showing a growing inclusivity towards women in establishing the legacy of the Tokugawa during the early Edo Period
A Country Torn Asunder: Deliberations Over the Fate of Post-WWII Germany
This diplomatic history examines the development of Germany’s post-WWII borders. Beginning in 1941, this thesis traces the myriad of proposals and debates about German territory, focusing particularly on the matter of division and dismemberment. This work focuses on two main topics: Allied proposals and counterproposals for a divided Germany and zones of occupation, and the relationship and interactions between the Big Three leaders and powers, focusing on how East-West tensions affected the diplomatic talks
Subgradient-Based Markov Chain Monte Carlo Particle Methods for Discrete-Time Nonlinear Filtering
This work shows how a carefully designed instrumental distribution can improve the performance of a Markov chain Monte Carlo (MCMC) filter for systems with a high state dimension. We propose a special subgradient-based kernel from which candidate moves are drawn. This facilitates the implementation of the filtering algorithm in high dimensional settings using a remarkably small number of particles. We demonstrate our approach in solving a nonlinear non-Gaussian high-dimensional problem in comparison with a recently developed block particle filter and over a dynamic compressed sensing (l1 constrained) algorithm. The results show high estimation accuracy
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