Back to Search
Start Over
Fast Quantum State Transfer and Entanglement Renormalization Using Long-Range Interactions
- Source :
- Physical Review Letters. 119
- Publication Year :
- 2017
- Publisher :
- American Physical Society (APS), 2017.
-
Abstract
- 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 speed-up possible is an open question. In this paper, we present a protocol capable of transferring a quantum state across a distance $L$ in $d$ dimensions using long-range interactions with strength bounded by $1/r^\alpha$. If $\alpha < d$, the state transfer time is asymptotically independent of $L$; if $\alpha = d$, the time is logarithmic in distance $L$; if $d < \alpha < d+1$, transfer occurs in time proportional to $L^{\alpha - d}$; and if $\alpha \geq d + 1$, it occurs in time proportional to $L$. We then use this protocol to upper bound the time required to create a state specified by a MERA (multiscale entanglement renormalization ansatz) tensor network, and show that, if the linear size of the MERA state is $L$, then it can be created in time that scales with $L$ identically to state transfer up to multiplicative logarithmic corrections.<br />Comment: 6 pages, 4 figures
- Subjects :
- Physics
Quantum Physics
Degree (graph theory)
Atomic Physics (physics.atom-ph)
FOS: Physical sciences
General Physics and Astronomy
Quantum entanglement
State (functional analysis)
01 natural sciences
Upper and lower bounds
Article
Physics - Atomic Physics
010305 fluids & plasmas
Renormalization
Quantum state
Quantum mechanics
0103 physical sciences
Tensor
Quantum Physics (quant-ph)
010306 general physics
Ansatz
Subjects
Details
- ISSN :
- 10797114 and 00319007
- Volume :
- 119
- Database :
- OpenAIRE
- Journal :
- Physical Review Letters
- Accession number :
- edsair.doi.dedup.....af127c05229e287c447af410b83a6f52