Quantum circuit and the hierarchy of many-body entanglement (MCQST-Colloquium) (Prof. Xie Chen)
- Date: Jul 4, 2023
- Time: 02:30 PM (Local Time Germany)
- Speaker: Prof. Xie Chen
- California Institute of Technology, USA
- Location: Max Planck Institute of Quantum Optics
- Room: Herbert Walther Lecture Hall
A circuit of a finite depth generates only short range entanglement which is in the same gapped phase as an unentangled product state. A linear depth circuit on the other hand can lead to chaos beyond thermal equilibrium. In this talk, we discuss how to reach the interesting regime in between that contains nontrivial gapped orders. This is achieved using the Sequential Quantum Circuit - a circuit of linear depth but with each layer acting only on one subregion in the system. We discuss how the Sequential Quantum Circuit can be used to generate nontrivial gapped states with long range correlation or long range entanglement, perform renormalization group transformation in foliated fracton order, and create defect excitations inside the bulk of a higher dimensional topological state.