Entanglement and quantum state geometry of spin system with all-range Ising-type interaction

Abstract

The evolution of $N$ spin-$1/2$ system with all-range Ising-type interaction is considered. For this system we study the entanglement of one spin with the rest spins. It is shown that the entanglement depends on the amount of spins and the initial state. Also the geometry of manifold which contains entangled states is obtained. Finally we find the dependence of entanglement on the scalar curvature of manifold and examine it for different number of spins in the system.

15 pages, 4 figures

References in corpus (10)

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• Optimal control, geometry, and quantum computing
• Inducing energy gaps in graphene monolayer and bilayer
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• Dynamics of entanglement in a one-dimensional Ising chain
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• Quantum state geometry and entanglement of two spins with anisotropic interaction in evolution
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Cited by in corpus (8)

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• Geometrical, topological and dynamical description of $\mathcal{N}$ interacting spin-$\mathtt{s}$ under long-range Ising model and their interplay with quantum entanglement
• Preparation and study of the entanglement of the Schrödinger cat state on the ibmq-melbourne quantum computer
• Geometry and speed of evolution for a spin-s system with long-range zz-type Ising interaction
• Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
• Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System