Measuring holographic entanglement entropy on a quantum simulator

Li, Keren1,2,3,4,5,6,7; Han, Muxin8,9; Qu, Dongxue8; Huang, Zichang8; Long, Guilu6,7; Wan, Yidun1,2,3,10,11,12,13,14; Lu, Dawei1,2,3,15; Zeng, Bei1,2,3,4,5,16; Laflamme, Raymond4,5,17

2019-04-23

10.1038/s41534-019-0145-z

npj Quantum Information   影响因子和分区

2056-6387

Quantum simulation promises to have wide applications in many fields where problems are hard to model with classical computers. Various quantum devices of different platforms have been built to tackle the problems in, say, quantum chemistry, condensed matter physics, and high-energy physics. Here, we report an experiment towards the simulation of quantum gravity by simulating the holographic entanglement entropy. On a six-qubit nuclear magnetic resonance quantum simulator, we demonstrate a key result of Anti-de Sitter/conformal field theory (AdS/CFT) correspondence-the Ryu-Takayanagi formula is demonstrated by measuring the relevant entanglement entropies on the perfect tensor state. The fidelity of our experimentally prepared the six-qubit state is 85.0% via full state tomography and reaches 93.7% if the signal-decay due to decoherence is taken into account. Our experiment serves as the basic module of simulating more complex tensor network states that exploring AdS/CFT correspondence. As the initial experimental attempt to study AdS/CFT via quantum information processing, our work opens up new avenues exploring quantum gravity phenomena on quantum simulators.

SCI ; EI

英语

第一 ; 通讯

Guangdong Innovative and Entrepreneurial Research Team Program[2016ZT06D348]

Physics

Quantum Science & Technology ; Physics, Applied ; Physics, Atomic, Molecular & Chemical ; Physics, Condensed Matter

WOS:000466036500002

SPRINGERNATURE

20201608456352

Entropy ; Quantum optics ; Tensors ; Simulators ; Qubits ; High energy physics ; Holography ; Quantum entanglement ; Gravitation

Thermodynamics:641.1 ; Light, Optics and Optical Devices:741 ; Light/Optics:741.1 ; Holography:743 ; Imaging Techniques:746 ; Nanotechnology:761 ; Physical Chemistry:801.4 ; Algebra:921.1 ; Quantum Theory; Quantum Mechanics:931.4 ; Gravitation, Relativity and String Theory:931.5 ; High Energy Physics:932.1

Web of Science

1.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
2.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
3.Peng Cheng Lab, Ctr Quantum Comp, Shenzhen 518055, Peoples R China
4.Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada
5.Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada
6.Tsinghua Univ, State Key Lab Low Dimens Quantum Phys, Beijing 100084, Peoples R China
7.Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
8.Florida Atlantic Univ, Dept Phys, 777 Glades Rd, Boca Raton, FL 33431 USA
9.Univ Erlangen Nurnberg, Inst Quantengravitat, Staudtstr 7-B2, D-91058 Erlangen, Germany
10.Fudan Univ, State Key Lab Surface Phys, Shanghai 200433, Peoples R China
11.Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
12.Fudan Univ, Ctr Field Theory & Particle Phys, Shanghai 200433, Peoples R China
13.Fudan Univ, Inst Nanoelect Devices & Quantum Comp, Shanghai 200433, Peoples R China
14.Nanjing Univ, Collaborat Innovat Ctr Adv Microstruct, Nanjing 210093, Jiangsu, Peoples R China
15.Shenzhen Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China
16.Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada
17.Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

Li, Keren,Han, Muxin,Qu, Dongxue,et al. Measuring holographic entanglement entropy on a quantum simulator[J]. npj Quantum Information,2019,5.

Li, Keren.,Han, Muxin.,Qu, Dongxue.,Huang, Zichang.,Long, Guilu.,...&Laflamme, Raymond.(2019).Measuring holographic entanglement entropy on a quantum simulator.npj Quantum Information,5.

Li, Keren,et al."Measuring holographic entanglement entropy on a quantum simulator".npj Quantum Information 5(2019).