Noisy Quantum Cellular Automata for Quantum vs Classical Excitation Transfer
arXiv:1311.0403 · doi:10.1103/PhysRevLett.112.170403
Abstract
We introduce a class of noisy quantum cellular automata on a qubit lattice that includes all classical Markov chains, as well as maps where quantum coherence between sites is allowed to build up over time. We apply such a construction to the problem of excitation transfer through 1-d lattices, and compare the performance of classical and quantum dynamics with equal local transition probabilities. Our discrete approach has the merits of stripping down the complications of the open system dynamics, of clearly isolating coherent effects, of allowing for an exact treatment of conditional dynamics, all while capturing a rich variety of dynamical behaviours.
5+2 pages, 5+2 figures
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Cited by in corpus (6)
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- Quantum-to-classical transition via quantum cellular automata
- Quantum State Transfer through Noisy Quantum Cellular Automata
- Quantum Coherence in Noisy Cellular Automata
- Reversibility in one-dimensional quantum cellular automata in the presence of noise