9 papers
Unlearnable phases of matter
Tarun Advaith Kumar, Yijian Zou, Amir-Reza Negari +2
We identify fundamental limitations in machine learning by demonstrating that non-trivial mixed-state phases of matter are computationally hard to learn. Focusing on unsupervised l…
Polynomial-time certification of fidelity for many-body mixed states and mixed-state universality classes
Yuhan Liu, Yijian Zou
Computation of Uhlmann fidelity between many-body mixed states generally involves full diagonalization of exponentially large matrices. In this work, we introduce a polynomial-time…
Universal quantum phase classification on quantum computers from machine learning
Weicheng Ye, Shuwei Liu, Shiyu Zhou +1
The classification of quantum phases of matter remains a fundamental challenge in condensed matter physics. We present a novel framework that combines shadow tomography with modern…
Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding
Yuxuan Zhang, Timothy H. Hsieh, Yong Baek Kim +1
Recent advances have defined nontrivial phases of matter in open quantum systems, such as many-body quantum states subject to environmental noise. In this work, we experimentally p…
Chirality, magic, and quantum correlations in multipartite quantum states
Shreya Vardhan, Bowen Shi, Isaac H. Kim +1
We introduce a notion of chirality for generic quantum states. A chiral state is defined as a state which cannot be transformed into its complex conjugate in a local product basis…
Universal Properties of Critical Mixed States from Measurement and Feedback
Zhehao Zhang, Yijian Zou, Timothy H. Hsieh +1
We explore the universal properties of mixed quantum matter obtained from "single-shot" adaptive evolution, in which a quantum-critical ground-state is manipulated through a single…