Digital Quantum Simulation of Spin Models with Circuit Quantum Electrodynamics

被引：232

作者：

Salathe, Y. ^{[1
]}

Mondal, M. ^{[1
]}

Oppliger, M. ^{[1
]}

Heinsoo, J. ^{[1
]}

Kurpiers, P. ^{[1
]}

Potocnik, A. ^{[1
]}

Mezzacapo, A. ^{[2
]}

Heras, U. Las ^{[2
]}

Lamata, L. ^{[2
]}

Solano, E. ^{[2
,3
]}

Filipp, S. ^{[1
]}

Wallraff, A. ^{[1
]}

机构：

[1] ETH, Dept Phys, CH-8093 Zurich, Switzerland

[2] Univ Basque Country UPV EHU, Dept Phys Chem, E-48080 Bilbao, Spain

[3] Ikerbasque, Basque Fdn Sci, Bilbao 48013, Spain

来源：

PHYSICAL REVIEW X | 2015年 / 5卷 / 02期

基金：

瑞士国家科学基金会;

关键词：

CAVITY; PROPAGATION; ALGORITHMS; DYNAMICS; QUBITS; PHOTON; STATES;

D O I：

10.1103/PhysRevX.5.021027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Systems of interacting quantum spins show a rich spectrum of quantum phases and display interesting many-body dynamics. Computing characteristics of even small systems on conventional computers poses significant challenges. A quantum simulator has the potential to outperform standard computers in calculating the evolution of complex quantum systems. Here, we perform a digital quantum simulation of the paradigmatic Heisenberg and Ising interacting spin models using a two transmon-qubit circuit quantum electrodynamics setup. We make use of the exchange interaction naturally present in the simulator to construct a digital decomposition of the model-specific evolution and extract its full dynamics. This approach is universal and efficient, employing only resources that are polynomial in the number of spins, and indicates a path towards the controlled simulation of general spin dynamics in superconducting qubit platforms.

引用

页数：12

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