Title | Optimal State Transfer and Entanglement Generation in Power-Law Interacting Systems |
Publication Type | Journal Article |
Year of Publication | 2021 |
Authors | M. C. Tran, A. Y. Guo, A. Deshpande, A. Lucas, and A. V. Gorshkov |
Journal | Phys. Rev. X |
Volume | 11 |
Pagination | 031016 |
Date Published | Jul |
Keywords | quantum algorithms, quantum computing |
Abstract | We present an optimal protocol for encoding an unknown qubit state into a multiqubit Greenberger-Horne-Zeilinger-like state and, consequently, transferring quantum information in large systems exhibiting power-law (1/rα) interactions. For all power-law exponents α between d and 2d+1, where d is the dimension of the system, the protocol yields a polynomial speed-up for α>2d and a superpolynomial speed-up for α≤2d, compared to the state of the art. For all α>d, the protocol saturates the Lieb-Robinson bounds (up to subpolynomial corrections), thereby establishing the optimality of the protocol and the tightness of the bounds in this regime. The protocol has a wide range of applications, including in quantum sensing, quantum computing, and preparation of topologically ordered states. In addition, the protocol provides a lower bound on the gate count in digital simulations of power-law interacting systems. |
URL | https://link.aps.org/doi/10.1103/PhysRevX.11.031016 |
DOI | 10.1103/PhysRevX.11.031016 |