Pushing Tensor Networks to the Limit

Abstract

This $Physics$ viewpoint considers recent work by Tilloy and Cirac [Phys. Rev. X 9, 021040 (2019), arXiv:1808.00976]; those authors overcame several past limitations in the generalization of tensor networks to the continuum and proposed a new class of continuous tensor network states (cMPS) which apply to spatial dimensions of two and higher.

Published version; 2 pages; 1 figure

References in corpus (8)

• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Entanglement renormalization
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Continuous Matrix Product States for Quantum Fields
• Tensor network states and geometry
• Tensor Networks in a Nutshell
• Entanglement and tensor network states
• Continuous Tensor Network States for Quantum Fields

Cited by in corpus (1)

• Lectures on Quantum Tensor Networks