Qubit exchange interactions from permutations of classical bits

DOI10.1142/S021974991941003XzbMath1447.81075arXiv2001.10907MaRDI QIDQ5219346

Hans-Thomas Elze

Publication date: 11 March 2020

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10907

zbMATH Keywords

superposition principleIsing modelquantum mechanicsBaker-Campbell-Hausdorff formulacellular automatonmeasurement problemqubitontological state

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantum computation (81P68) Applications of Lie groups to the sciences; explicit representations (22E70) Cellular automata (computational aspects) (68Q80) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum measurement theory, state operations, state preparations (81P15) Spline approximation (41A15)

Related Items (3)

Are quantum spins but small perturbations of ontological Ising spins? ⋮ A Baker–Campbell–Hausdorff formula for the logarithm of permutations ⋮ Fast vacuum fluctuations and the emergence of quantum mechanics

Cites Work

• The cellular automaton interpretation of quantum mechanics
• Dissipation and quantization for composite systems
• Quantum field as a quantum cellular automaton: the Dirac free evolution in one dimension
• Emergent discrete time and quantization: relativistic particle with extra-dimensions
• Bell's theorem: two neglected solutions
• Generalizations of quantum mechanics induced by classical statistical field theory
• Multipartite cellular automata and the superposition principle
• AN ENTROPIC PICTURE OF EMERGENT QUANTUM MECHANICS
• Schrödinger wave functions from classical trajectories
• Unnamed Item

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