Over the past few decades, equilibrium quantum matter, particularly at zero temperature, has been extensively characterized. However, realistic systems inevitably interact with their environments and are thus described by mixed states. My research explores the new phenomena arising in mixed states—absent in isolated pure-state systems—by analyzing their novel symmetry-breaking patterns, entanglement structures, and symmetry anomalies. 

Selected projects:
(1) Mixed-state long-range entanglement from dimensional constraints (2026)
(2) Holographic perspective for mixed-state phases (2025)
(3) Higher-form anomaly and long-range entangled mixed states (2025)

Recent advances in quantum devices have motivated the development of protocols for preparing exotic states of matter. A particularly exciting frontier is the role of non-unitary projective measurements in many-body systems. Remarkably, measurements combined with outcome-conditioned unitary feedback provide a powerful tool for efficiently transforming between distinct phases of matter—a task impossible under unitary evolution alone. This framework offers a new perspective on quantum matter through the lens of state-preparation complexity. Moreover, it enables concrete protocols for efficiently realizing exotic quantum phases on quantum devices, with direct relevance to quantum simulation and quantum information processing.

Selected projects:
(1) Mixed-state long-range order and criticality with measurement (PRXQ, 2023)
(2) Measurement as a shortcut to long-range entangled quantum matter (PRXQ, 2022) 

Beyond universal spatial correlations, quantum many-body systems exhibit intriguing universal structures in the dynamics of information across spacetime. My research explores these universal patterns by incorporating key ingredients, including unitary operations, non-unitary measurements, and quantum channels.

Selected projects:
(1) Spacetime duality for early-time quantum dynamics (PRL, 2022)
(2) Spacetime duality for measurement-induced transitions (PRXQ, 2021)