在量子计算机上制备纠缠对态。
Preparing projected entangled pair states on a quantum computer.
机构信息
Vienna Center for Quantum Science and Technology, Faculty of Physics, University of Vienna, Vienna, Austria.
出版信息
Phys Rev Lett. 2012 Mar 16;108(11):110502. doi: 10.1103/PhysRevLett.108.110502. Epub 2012 Mar 13.
Abstract
We present a quantum algorithm to prepare injective projected entangled pair states (PEPS) on a quantum computer, a class of open tensor networks representing quantum states. The run time of our algorithm scales polynomially with the inverse of the minimum condition number of the PEPS projectors and, essentially, with the inverse of the spectral gap of the PEPS's parent Hamiltonian.
摘要
我们提出了一种在量子计算机上制备单射投影纠缠对态（PEPS）的量子算法，PEPS 是一类表示量子态的开放张量网络。我们算法的运行时间与 PEPS 投影的最小条件数的倒数以及 PEPS 的母哈密顿量的能隙的倒数呈多项式关系。
相似文献
1
Preparing projected entangled pair states on a quantum computer.在量子计算机上制备纠缠对态。
Phys Rev Lett. 2012 Mar 16;108(11):110502. doi: 10.1103/PhysRevLett.108.110502. Epub 2012 Mar 13.
2
Computational complexity of projected entangled pair states.投影纠缠对态的计算复杂度
Phys Rev Lett. 2007 Apr 6;98(14):140506. doi: 10.1103/PhysRevLett.98.140506. Epub 2007 Apr 4.
3
Rapid Adiabatic Preparation of Injective Projected Entangled Pair States and Gibbs States.快速绝热制备注射纠缠对态和吉布斯态。
Phys Rev Lett. 2016 Feb 26;116(8):080503. doi: 10.1103/PhysRevLett.116.080503. Epub 2016 Feb 25.
4
Variational treatment of the Shastry-Sutherland antiferromagnet using projected entangled pair states.使用投影纠缠对态对沙斯特里 - 萨瑟兰反铁磁体进行变分处理。
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Aug;74(2 Pt 2):026701. doi: 10.1103/PhysRevE.74.026701. Epub 2006 Aug 1.
5
Criticality, the area law, and the computational power of projected entangled pair states.临界性、面积定律与投影纠缠对态的计算能力。
Phys Rev Lett. 2006 Jun 9;96(22):220601. doi: 10.1103/PhysRevLett.96.220601. Epub 2006 Jun 6.
6
Projected entangled-pair states can describe chiral topological states.预测纠缠对态可以描述手性拓扑态。
Phys Rev Lett. 2013 Dec 6;111(23):236805. doi: 10.1103/PhysRevLett.111.236805.
7
Topological order in the projected entangled-pair states formalism: transfer operator and boundary Hamiltonians.拓扑序在投影纠缠对态形式中的表现：转移算符和边界哈密顿量。
Phys Rev Lett. 2013 Aug 30;111(9):090501. doi: 10.1103/PhysRevLett.111.090501. Epub 2013 Aug 27.
8
Projected Entangled Pair States: Fundamental Analytical and Numerical Limitations.
Phys Rev Lett. 2020 Nov 20;125(21):210504. doi: 10.1103/PhysRevLett.125.210504.
9
Symmetry-Assisted Preparation of Entangled Many-Body States on a Quantum Computer.
Phys Rev Lett. 2020 Dec 4;125(23):230502. doi: 10.1103/PhysRevLett.125.230502.
10
Scaling Hypothesis for Projected Entangled-Pair States.
Phys Rev Lett. 2022 Nov 11;129(20):200601. doi: 10.1103/PhysRevLett.129.200601.
引用本文的文献
1
A quantum machine learning algorithm based on generative models.一种基于生成模型的量子机器学习算法。
Sci Adv. 2018 Dec 7;4(12):eaat9004. doi: 10.1126/sciadv.aat9004. eCollection 2018 Dec.
2
Quantum machine learning: a classical perspective.量子机器学习：一种经典视角。
Proc Math Phys Eng Sci. 2018 Jan;474(2209):20170551. doi: 10.1098/rspa.2017.0551. Epub 2018 Jan 17.
Zotero 插件