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20192026
most citedStability of mixed-state quantum phases via finite Markov length

34 citations · 59 across the 12 of their papers we have counts for

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quant-ph2026

Instability of Markov chains under infinitesimal coherent dissipation

Amir-Reza Negari, Yijian Zou, Timothy H. Hsieh

Under local Lindbladian evolution, the growth of conditional mutual information and its associated Markov length scale is not limited by Lieb-Robinson bounds, yet it has been uncle…

quant-ph2026

A Unified Framework for Locally Stable Phases

Zhi Li, Raz Firanko, Timothy H. Hsieh

We propose a unifying framework for characterizing pure and mixed state phases of matter across equilibrium, non equilibrium, and metastable regimes. We introduce the concept of lo…

quant-ph2026

Critical non-equilibrium phases from noisy topological memories

Amir-Reza Negari, Subhayan Sahu, Jan Behrends +2

We demonstrate the existence of an extended non-equilibrium critical phase, characterized by sub-exponential decay of conditional mutual information (CMI), in the surface code subj…

quant-ph2025

Autoregressive Typical Thermal States

Tarun Advaith Kumar, Leon Balents, Timothy H. Hsieh +1

A variety of generative neural networks recently adopted from machine learning have provided promising strategies for studying quantum matter. In particular, the success of autoreg…

quant-ph2025

Mixed-state phases from local reversibility

Shengqi Sang, Leonardo A. Lessa, Roger S. K. Mong +3

We propose a refined definition of mixed-state phase equivalence based on locally reversible channel circuits. We show that such circuits preserve topological degeneracy and the lo…

quant-ph2025

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…

quant-ph2025

Higher-form anomaly and long-range entanglement of mixed states

Leonardo A. Lessa, Shengqi Sang, Tsung-Cheng Lu +2

In open quantum systems, we directly relate anomalies of higher-form symmetries to the long-range entanglement of any mixed state with such symmetries. First, we define equivalence…

quant-ph2024

Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases

Amir-Reza Negari, Tyler D. Ellison, Timothy H. Hsieh

We establish a correspondence between the fault-tolerance of local stabilizer codes experiencing measurement and physical errors and the mixed-state phases of decohered resource st…

quant-ph2024

Approximate quantum error correcting codes from conformal field theory

Shengqi Sang, Timothy H. Hsieh, Yijian Zou

The low-energy subspace of a conformal field theory (CFT) can serve as a quantum error correcting code, with important consequences in holography and quantum gravity. We consider g…

quant-ph2024★ 17 cited

Symmetry enforced entanglement in maximally mixed states

Amin Moharramipour, Leonardo A. Lessa, Chong Wang +2

Entanglement in quantum many-body systems is typically fragile to interactions with the environment. Generic unital quantum channels, for example, have the maximally mixed state wi…

quant-ph2024★ 34 cited

Stability of mixed-state quantum phases via finite Markov length

Shengqi Sang, Timothy H. Hsieh

For quantum phases of Hamiltonian ground states, the energy gap plays a central role in ensuring the stability of the phase as long as the gap remains finite. We propose Markov len…

quant-ph2023★ 5 cited

Mixed-state Quantum Phases: Renormalization and Quantum Error Correction

Shengqi Sang, Yijian Zou, Timothy H. Hsieh

Open system quantum dynamics can generate a variety of long-range entangled mixed states, yet it has been unclear in what sense they constitute phases of matter. To establish that…

quant-ph2019★ 3 cited

Generation of Thermofield Double States and Critical Ground States with a Quantum Computer

D. Zhu, S. Johri, N. M. Linke +6

Finite-temperature phases of many-body quantum systems are fundamental to phenomena ranging from condensed-matter physics to cosmology, yet they are generally difficult to simulate…