Decoherence as a high-dimensional geometrical phenomenon. (English) Zbl 1541.81023
Summary: We develop a mathematical formalism that allows to study decoherence with a great level generality, so as to make it appear as a geometrical phenomenon between reservoirs of dimensions. It enables us to give quantitative estimates of the level of decoherence induced by a purely random environment on a system according to their respectives sizes, and to exhibit some links with entanglement entropy.
MSC:
| 81P40 | Quantum coherence, entanglement, quantum correlations |
| 81P42 | Entanglement measures, concurrencies, separability criteria |
| 81S22 | Open systems, reduced dynamics, master equations, decoherence |
| 60D05 | Geometric probability and stochastic geometry |
| 51E22 | Linear codes and caps in Galois spaces |
Keywords:
mathematical physics; decoherence; entanglement entropy; geometric probability; spherical capsReferences:
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