The ambiguity of simplicity in quantum and classical simulation
| Autor: | James P. Crutchfield, Cina Aghamohammadi, John R. Mahoney |
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| Rok vydání: | 2017 |
| Předmět: |
Information theory
Quantum information Elegance Fluids & Plasmas media_common.quotation_subject General Physics and Astronomy Quantum simulator 01 natural sciences Mathematical Sciences 010305 fluids & plasmas Theoretical physics 0103 physical sciences Calculus Statistical inference Simplicity 010306 general physics Quantum media_common Quantum computer Hidden Markov model epsilon-Machine Physics Ambiguity Stochastic process Physical Sciences |
| Zdroj: | Physics Letters, Section A: General, Atomic and Solid State Physics, vol 381, iss 14 Aghamohammadi, C; Mahoney, JR; & Crutchfield, JP. (2017). The ambiguity of simplicity in quantum and classical simulation. Physics Letters, Section A: General, Atomic and Solid State Physics, 381(14), 1223-1227. doi: 10.1016/j.physleta.2016.12.036. UC Davis: Retrieved from: http://www.escholarship.org/uc/item/3s67k7kn Physics Letters A, vol 381, iss 14 |
| ISSN: | 0375-9601 |
| DOI: | 10.1016/j.physleta.2016.12.036 |
| Popis: | © 2016 Elsevier B.V. A system's perceived simplicity depends on whether it is represented classically or quantally. This is not so surprising, as classical and quantum physics are descriptive frameworks built on different assumptions that capture, emphasize, and express different properties and mechanisms. What is surprising is that, as we demonstrate, simplicity is ambiguous: the relative simplicity between two systems can change sign when moving between classical and quantum descriptions. Here, we associate simplicity with small model-memory. We see that the notions of absolute physical simplicity at best form a partial, not a total, order. This suggests that appeals to principles of physical simplicity, via Ockham's Razor or to the “elegance” of competing theories, may be fundamentally subjective. Recent rapid progress in quantum computation and quantum simulation suggest that the ambiguity of simplicity will strongly impact statistical inference and, in particular, model selection. |
| Databáze: | OpenAIRE |
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