
Unconventional Computation
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Content
- Title Page
- Preface
- Organization
- Table of Contents
- Invited Lectures and Tutorials
- The Logic and Topology of Non-locality and Contextuality
- A Framework for Multiscale and Multiscience Modeling and Numerical Simulations
- Introduction
- The Complex Automata Approach
- The Scale Separation Map
- Submodel Execution Loop and Coupling Templates
- Conclusion
- References
- Unconventional Optimizer Development
- A Formal Framework for Bioprocesses in Living Cells
- Quantum Information - A Tutorial
- Introduction
- Bell Inequalities
- Von Neumann and Shannon Entropy
- Quantum Cryptography
- References
- Weighted Finite Automata: Computing with Different Topologies
- Introduction
- Preliminaries
- Computing the Parabola
- A Monster Function
- References
- Tutorial on Cellular Automata
- References
- Membrane Computing at Twelve Years(Back to Turku)
- References
- Membrane Computing (Tutorial)
- References
- Regular Contributions
- Von Neumann Normalisation and Symptoms of Randomness: An Application to Sequences of Quantum Random Bits
- Introduction
- Notation
- Von Neumann Normalisation
- Infinite Von Neumann Normalisation
- Role of Probability Spaces for QRNGs
- Conclusions
- References
- Robustness of Cellular Automata in the Light of Asynchronous Information Transmission
- Introduction
- Asynchronous Cellular Automata
- Cellular Automata
- Asynchronism as a Disruption of Cell Activity
- Models studied
- Qualitative observations
- The Game of Life
- Elementary Cellular Automata
- Study of Phase Transitions
- The Game of Life
- Elementary Cellular Automata
- Discussion
- References
- Hidden Variables Simulating Quantum Contextuality Increasingly Violate the Holevo Bound
- Introduction
- Language Defined by the Experiment
- The Experiment
- The Formal Language
- Hidden Variables and the Holevo Bound
- Memory-Factoring Abstract Generating Automata
- A Lower Bound for the Peres-Mermin Square
- Scaling
- References
- Can Anything from Noether's Theorem Be Salvaged for Discrete Dynamical Systems?
- Introduction
- Energy Conservation
- Noether's Theorem
- The Ising Playground
- Why Call It Energy?
- Additivity
- Generator of the Dynamics
- Raising the Kinematics Bar
- Space- and Time-Dependent Dynamics
- Conclusions
- References
- On Normal Forms for Networks of Evolutionary Processors
- Introduction
- Definitions
- Simplifying the Filters
- Transformations into (Weak) Normal Form
- References
- Geometrical Accumulations and Computably Enumerable Real Numbers
- Introduction
- Definitions
- Abstract Geometrical Computation
- c.e. and d-c.e. Real Numbers
- Only (d-)c.e. Coordinates
- Controlled Shrinking Structure
- Control/Inner Structure
- Outer Structure
- Controls for d-c.e.
- Accumulating at a c.e. Time
- Accumulating at a d-c.e. Spatial Position
- Conclusion
- References
- Heterotic Computing
- Introduction
- Motivating Examples
- Cluster State Computing
- Classical NMR Computing
- Heterotic Framework
- Computational Framework
- Semantic Framework
- Refinement Framework
- NMR Computing within the Framework
- Classical NMR Variables
- Analysis of Classical and Quantum Layers in NMR Computation
- Stressing the Framework with Continuous Variable Computing
- Discussion and Conclusions
- References
- A Formal Approach to Unconditional Security Proofs for Quantum Key Distribution
- Introduction
- Preliminaries
- Automation of the Transformation Step
- Quantum Programming Language
- Formalization of BB84
- Rewriting Rules
- Properties of the Rewriting System
- Protocol Rules
- Formal Verification of EDP-Based Protocol
- Quantum Hoare Logic
- Formal Verification in the Quantum Hoare Logic
- Discussion
- Related Work
- Conclusion
- References
- Geometric Computations by Broadcasting Automata on the Integer Grid
- Introduction
- Broadcasting Automata Model on Z^2
- Computational Primitives for Broadcasting Automata
- Nodal Patterns of Discrete Interference
- Nodal Patterns with Two Sequential Transmitters
- Geometric Problems on the Digital Disc
- Conclusion and Discussion
- References
- Computations with Uncertain Time Constraints: Effects on Parallelism and Universality
- Introduction
- Dynamic Time Constraints
- Background
- Dynamic Time Requirements on Data Acquisition
- Dynamic Time Requirements on Data Output
- Conclusion
- References
- BFS Solution for Disjoint Paths in P Systems
- Introduction
- Preliminary
- Disjoint Paths
- Disjoint Paths in P Systems
- Distributed BFS-Based Strategy
- Rules for Edge-Disjoint Paths
- Rules for Node-Disjoint Paths
- Performance of BFS-Based Solutions
- Conclusions
- References
- The Key Elements of Logic Design in Ternary Quantum-Dot Cellular Automata
- Introduction
- tQCA Overview
- The Functionally Complete Set
- Implementation of the tQCA Characteristic Functions
- Conclusion
- References
- A Universal Flying Amorphous Computer
- Introduction
- Flying Amorphous Computer
- Simulation
- Setup
- Communication
- Conclusion
- References
- Computation with Narrow CTCs
- Introduction
- Preliminaries
- Our Model
- Postselection and Narrow CTCs
- Weak Deterministic Models with Narrow CTCs
- Concluding Remarks and Open Questions
- References
- Extended Watson-Crick L Systems with Regular Trigger Languages
- Introduction
- Preliminaries
- Uni-transitional Watson-Crick E0L systems
- Construction
- Proof of Language Equivalence
- Weak Derivation Watson-Crick E0L Systems
- Watson-Crick ET0L Systems with Bounded Complementary Transitions
- References
- Computing with Planar Toppling Domino Arrangements
- Introduction
- Previous Work
- Challenges
- Domino Interactions and Boolean Algebra
- One Way Line
- Single Line Crossover
- Both Mechanism
- Dual-Rail Boolean Algebra
- Logic Functions and Planar Crossover
- Conclusion
- References
- Increasing Fault-Tolerance in Cellular Automata-Based Systems
- Introduction
- Cellular Automata
- General Description of Cellular Automata
- Notable Inherent Properties and Problems
- Fault-Tolerance in Cellular Automata
- Proposed Approach
- The Experiments
- The Benchmark Problems
- The Experimental Setup
- Results
- Conclusion
- References
- Author Index
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