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The Quantum State Transfer in 1D XX Spin Chain under Weak Measurements and Quantum Measurement Reversals

刘元元 LIU Yuan-yuan, 闫丽 YAN Li, 夏云杰 Xia Yunjie

Acta Sinica Quantum OpticaJan 1, 20150 citations

Numerical Analysis of Quantum Speed Limits: Controlled Quantum Spin Chain Systems with Constrained Control Functions

Benjamin Russell, Susan Stepney

Lecture notes in computer scienceJan 1, 20130 citations

Optimal control of fast and high-fidelity quantum state transfer in spin-1/2 chains

Xiong-Peng Zhang, Bin Shao, Shuai Hu +2 more

Annals of PhysicsOct 27, 201624 citations

Geometry and curvature of spin networks

E Jonckheere, S G Schirmer, F C Langbein

A measure for the maximum quantum information transfer capacity (ITC) between nodes of a spin network is defined, and shown to induce a metric on a space of equivalence classes of nodes for homogeneous chains with XX and Heisen-berg couplings. The geometry and curvature of spin chains with respect of this metric are studied and compared to the physical network geometry. For general networks hierarchical clustering is used to elucidate the proximity of nodes with regard to the maximum ITC. Finally, it is shown how minimal control can be used to overcome intrinsic limitations and speed up information transfer.A measure for the maximum quantum information transfer capacity (ITC) between nodes of a spin network is defined, and shown to induce a metric on a space of equivalence classes of nodes for homogeneous chains with XX and Heisen-berg couplings. The geometry and curvature of spin chains with respect of this metric are studied and compared to the physical network geometry. For general networks hierarchical clustering is used to elucidate the proximity of nodes with regard to the maximum ITC. Finally, it is shown how minimal control can be used to overcome intrinsic limitations and speed up information transfer.

arXiv:1102.3208The proceedings of the IEEE Conference on Control Applications/The proceedings of the ... IEEE Conference on Control ApplicationsSep 1, 20117 citations

High-probability quantum state transfer among nodes of an open XXZ spin chain

Edward B. Fel’dman, Alexander Ivanovich Zenchuk

arXiv:0809.1967Physics Letters AMar 21, 200917 citations

Geometry and curvature of spin networks

E Jonckheere, S G Schirmer, Frank C. Langbein

Abstract — A measure for the maximum quantum informa-tion transfer capacity (ITC) between nodes of a spin network is defined, and shown to induce a metric on a space of equivalence classes of nodes for homogeneous chains with XX and Heisen-berg couplings. The geometry and curvature of spin chains with respect of this metric are studied and compared to the physical network geometry. For general networks hierarchical clustering is used to elucidate the proximity of nodes with regard to the maximum ITC. Finally, it is shown how minimal control can be used to overcome intrinsic limitations and speed up information transfer. I.Abstract — A measure for the maximum quantum informa-tion transfer capacity (ITC) between nodes of a spin network is defined, and shown to induce a metric on a space of equivalence classes of nodes for homogeneous chains with XX and Heisen-berg couplings. The geometry and curvature of spin chains with respect of this metric are studied and compared to the physical network geometry. For general networks hierarchical clustering is used to elucidate the proximity of nodes with regard to the maximum ITC. Finally, it is shown how minimal control can be used to overcome intrinsic limitations and speed up information transfer. I.

Jan 1, 201110 citations

Controlled quantum state transfer in XX spin chains at the Quantum Speed Limit

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