dorsal/arxiv
View SchemaSimulation of quantum dynamics via classical collective behavior
| Authors | Yuri Ozhigov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602155 |
| URL | https://arxiv.org/abs/quant-ph/0602155 |
Abstract
The simple algorithm for the simulation and visualization of non relativistic quantum dynamics is proposed that is based on a collective behavior of classical particles. Any quantum particle is represented as the swarm of its classical samples which interact by simple rules including emission and absorption of samples of tied photons. The quantum dynamics results from the collective behavior of such a swarm where the eigenstates are treated as the equilibrium states relatively to emission-absorption of photons. The entanglement is treated as a correlation between samples of the different swarms that is stored in the space-time part of the model inaccessible for a user. The amplitude is always grained. The Coulomb field between quantum particles is simulated, analogously to free flow of quantum package, by the point wise interaction between its samples and scalar photon samples which propagate by diffusion. It gives square root speedup in comparison to each-with-each method. This method obviously includes decoherence and admits the natural generalization on the QED of many particles with the linear computational cost.
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"abstract": "The simple algorithm for the simulation and visualization of non relativistic\nquantum dynamics is proposed that is based on a collective behavior of\nclassical particles. Any quantum particle is represented as the swarm of its\nclassical samples which interact by simple rules including emission and\nabsorption of samples of tied photons. The quantum dynamics results from the\ncollective behavior of such a swarm where the eigenstates are treated as the\nequilibrium states relatively to emission-absorption of photons. The\nentanglement is treated as a correlation between samples of the different\nswarms that is stored in the space-time part of the model inaccessible for a\nuser. The amplitude is always grained. The Coulomb field between quantum\nparticles is simulated, analogously to free flow of quantum package, by the\npoint wise interaction between its samples and scalar photon samples which\npropagate by diffusion. It gives square root speedup in comparison to\neach-with-each method. This method obviously includes decoherence and admits\nthe natural generalization on the QED of many particles with the linear\ncomputational cost.",
"arxiv_id": "quant-ph/0602155",
"authors": [
"Yuri Ozhigov"
],
"categories": [
"quant-ph"
],
"title": "Simulation of quantum dynamics via classical collective behavior",
"url": "https://arxiv.org/abs/quant-ph/0602155"
},
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