Error bounds for constrained dynamics in gapped quantum systems: Rigorous results and generalizations
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.101.052122
Abstract: In arXiv:2001.03419 we introduce a universal error bound for constrained unitary dynamics within a well-gapped energy band of an isolated quantum system. Here, we provide the full details on the derivation of the bound. In… read more here.
Keywords: bounds constrained; constrained dynamics; dynamics gapped; quantum systems ... See more keywords
Constrained Dynamics and Directed Percolation.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.129.190601
Abstract: In a recent work [A. Deger et al., Phys. Rev. Lett. 129, 160601 (2022).PRLTAO0031-900710.1103/PhysRevLett.129.160601] we have shown that kinetic constraints can completely arrest many-body chaos in the dynamics of a classical, deterministic, translationally invariant spin… read more here.
Keywords: constrained dynamics; dynamics directed; directed percolation; percolation ... See more keywords
CoordiNet: Constrained Dynamics Learning for State Coordination Over Graph
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Signal and Information Processing over Networks"
DOI: 10.1109/tsipn.2023.3248944
Abstract: A neural architecture to efficiently coordinate the transitions of state variables (states) over a graph is proposed. We consider the coordination of the time evolution of the state variables associated with the nodes on a… read more here.
Keywords: state; dynamics learning; coordination; constrained dynamics ... See more keywords