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Gravitational Topological Quantum Computation
2007A new model in topological quantum computing, named Gravitational Topological Quantum Computing (GTQC), is introduced as an alternative respect to the Anyonic Topological Quantum Computing and DNA Computing. In the new model the quantum computer is the quantum space-time itself and the corresponding quantum algorithms refer to the computation of ...
Velez, Mario, Ospina, Juan
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Topological Quantum Computation
2013This pedagogical introduction to topological quantum computation includes the following parts. First we provide an introduction to anyons and topological models. In particular we consider the properties of anyons and their relation to topological quantum computation. Then we present the quantum double models.
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On the topological design of a Computer Network
Computer Networks and ISDN Systems, 1995Abstract The goal of the topological design of a Computer Communication Network is to achieve a specified performance at a minimal cost. Unfortunately, the problem is completely intractable. A reasonable approach is to generate a potential network topology.
S. K. Srivatsa, Seshaiah Ponnekanti
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Topological computation of activity regions
Proceedings of the 1st ACM SIGSIM Conference on Principles of Advanced Discrete Simulation, 2013Most of the frameworks and languages available in the field of modeling and simulation of dynamical systems focus on the specification of the state of the system and its transition function. Although we believe that this task has been elegantly solved by the design of the rule-based topological programming language MGS, an interesting challenge remains
Martin Potier +2 more
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A Computational Framework for Topological Operations
2007We present a complete topological framework that is able to provide incidence traversal operations for various topological elements. This enables one to perform the necessary topological operations for several discretization schemes. A combination of incidence information combined with an archetype concept enables one to optimize traversal operations ...
Michael Spevak +3 more
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Towards a topology for computational geometry
CAD Computer Aided Design, 1995The author notes that computations in finite precision can lead to impossible solutions, in particular in intersection problems that are close to singular. He proposes to deal with the problem in two steps. The first is to use different criteria for identifying two points or asserting their distinctness; another approach to the same problem is to ...
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Computational Dimension of Topological Spaces
2001When a topological space X can be embedded into the space ?;?,n? of n?-sequences of ?, then we can define the corresponding computational notion over X because a machine with n + 1 heads on each tape can input/output sequences in ?;?,n?. This means that the least number n such that X can be topologically embedded into ?;?,n?
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Topology and iterates in computational logic [PDF]
, 1997 We consider the problem of finding models for logic programs \(P\) via fixed points of immediate consequence operators, \(T_P\). Certain extensions of syntax invalidate the classical approach, adopted in the case of definite programs, using iterates of \(T_P\) and the Knaster-Tarski theorem.
Seda, Anthony K., Hitzler, Pascal
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Computational Topology and its Applications in Geometric Design
Recent Patents on Engineering, 2021Zhetong Dong
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