Probing Sign Structure Using Measurement-Induced Entanglement - Timothy Hsieh

Explore a conference talk on probing sign structure using measurement-induced entanglement. Delve into the research presented by Timothy Hsieh from Perimeter Institute at the Noisy Intermediate-Scale Quantum Systems: Advances and Applications conference. Examine topics such as detecting sign structure, measurement-induced entanglement (MIE), sign-free stabilizer states, and hybrid quantum circuits. Investigate how sign structure constrains scaling dimensions in Clifford and Haar hybrid circuits. Learn about MIE applications in critical 1d Transverse Field Ising Model and gapless SPT systems. Gain insights into open questions and future research directions in this field of quantum physics.

Intro
Motivation
How to detect sign structure?
Measurement-induced Entanglement (MIE)
Sign-Free Stabilizer States
Stabilizers with Sign Structure
Hybrid Quantum Circuits
Sign Structure Constrains Scaling Dimensions
Clifford hybrid circuit
Haar hybrid circuit
Spin (Qubit) Systems
Sketch of Proof
MIE of Critical 1d Transverse Field Ising Model
MIE of Gapless SPT (with sign structure)
Open Questions
Overview
MIE of Critical Ground State with Sign Structure