Experimental Quantum Simulation of Entanglement in Many-body Systems

Abstract

We employ a nuclear magnetic resonance (NMR) quantum information processor to simulate the ground state of an XXZ spin chain and measure its NMR analog of entanglement, or pseudo-entanglement. The observed pseudo-entanglement for a small-size system already displays singularity, a signature which is qualitatively similar to that in the thermodynamical limit across quantum phase transitions, including an infinite-order critical point. The experimental results illustrate a successful approach to investigate quantum correlations in many-body systems using quantum simulators.

References in corpus (19)

• Quantum entanglement
• Entanglement detection
• Scaling of Entanglement close to a Quantum Phase Transitions
• NMR Techniques for Quantum Control and Computation
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Fidelity approach to quantum phase transitions
• Quantum Phase Transitions and Bipartite Entanglement
• Quantum magnetism and criticality
• Most quantum states are too entangled to be useful as computational resources
• Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
• Estimating entanglement measures in experiments
• Bounds on Multipartite Entangled Orthogonal State Discrimination Using Local Operations and Classical Communication
• Quantum simulation of a system with competing two- and three-body interactions
• Global entanglement and quantum criticality in spin chains
• Liquid State NMR as a Test-bed for Developing Quantum Control Methods
• Universal geometric entanglement close to quantum phase transitions
• Visualizing elusive phase transitions with geometric entanglement
• Noiseless Quantum Circuits for the Peres Separability Criterion
• Entanglement and local extremes at an infinite-order quantum phase transition

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• Experimental simulation of quantum tunneling in small systems
• Hessian-based optimization of constrained quantum control
• Geometric Entanglement in Topologically Ordered States
• Compressed quantum simulation of the Ising model
• Experimental Demonstration of Quantum Tunneling in IBM Quantum Computer
• Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement
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• Low-temperature environments for quantum computation and quantum simulation
• Topological Minimally Entangled States via Geometric Measure
• Classical simulation of the Hubbard-Holstein dynamics with optical waveguide lattices
• Entanglement signatures for the dimerization transition in the Majumdar-Ghosh model
• Geometric Entanglement and Quantum Phase Transition in Generalized Cluster-XY models
• Surface Entanglement in Quantum Spin Networks
• Fully-programmable universal quantum simulator with a one-dimensional quantum processor
• Quantum Simulation of Pairing Hamiltonians with Nearest-Neighbor Interacting Qubits
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• Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry
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