Fast Quantum State Transfer and Entanglement Renormalization Using Long-Range Interactions
In short-range interacting systems, the speed at which entanglement can be established between two separated points is limited by a constant Lieb-Robinson velocity. Long-range interacting systems are capable of faster entanglement generation, but the degree of the speedup possible is an open questio...
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| Veröffentlicht in: | Physical review letters 2017-10, Vol.119 (17), p.170503-170503, Article 170503 |
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| container_title | Physical review letters |
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| creator | Eldredge, Zachary Gong, Zhe-Xuan Young, Jeremy T Moosavian, Ali Hamed Foss-Feig, Michael Gorshkov, Alexey V |
| description | In short-range interacting systems, the speed at which entanglement can be established between two separated points is limited by a constant Lieb-Robinson velocity. Long-range interacting systems are capable of faster entanglement generation, but the degree of the speedup possible is an open question. In this Letter, we present a protocol capable of transferring a quantum state across a distance L in d dimensions using long-range interactions with a strength bounded by 1/r^{α}. If α |
| doi_str_mv | 10.1103/PhysRevLett.119.170503 |
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Long-range interacting systems are capable of faster entanglement generation, but the degree of the speedup possible is an open question. In this Letter, we present a protocol capable of transferring a quantum state across a distance L in d dimensions using long-range interactions with a strength bounded by 1/r^{α}. If α<d, the state transfer time is asymptotically independent of L; if α=d, the time scales logarithmically with the distance L; if d<α<d+1, the transfer occurs in a time proportional to L^{α-d}; and if α≥d+1, it occurs in a time proportional to L. We then use this protocol to upper bound the time required to create a state specified by a multiscale entanglement renormalization ansatz (MERA) tensor network and show that if the linear size of the MERA state is L, then it can be created in a time that scales with L identically to the state transfer up to logarithmic corrections. 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| source | American Physical Society Journals |
| title | Fast Quantum State Transfer and Entanglement Renormalization Using Long-Range Interactions |
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