135 citations · 251 across the 10 of their papers we have counts for
10 papers
Local Strong-to-Weak Spontaneous Symmetry Breaking
Francisco Divi, Leonardo A. Lessa, Chong Wang
We propose a local notion of strong-to-weak spontaneous symmetry breaking (SW-SSB), through a local one-point fidelity correlator. Compared with the previous definition in terms of…
Mixed-State Long-Range Entanglement from Dimensional Constraints
Leonardo A. Lessa, Tsung-Cheng Lu
We present a new mechanism for long-range entanglement (LRE) in strongly symmetric many-body mixed states that does not rely on symmetry anomalies or long-range correlations. Our p…
A Formalization of the Generalized Quantum Stein's Lemma in Lean
Alex Meiburg, Leonardo A. Lessa, Rodolfo R. Soldati
The Generalized Quantum Stein's Lemma is a theorem in quantum hypothesis testing that provides an operational meaning to the relative entropy within the context of quantum resource…
Symmetry enforces entanglement at high temperatures
Amir-Reza Negari, Leonardo A. Lessa, Subhayan Sahu
Many-body quantum systems with local interactions undergo ``sudden death of entanglement" at high temperatures, whereby thermal states become classical mixtures of product states.…
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…
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…
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…
Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States
Leonardo A. Lessa, Ruochen Ma, Jian-Hao Zhang +3
Symmetry in mixed quantum states can manifest in two distinct forms: strong symmetry, where each individual pure state in the quantum ensemble is symmetric with the same charge, an…
Mixed-state quantum anomaly and multipartite entanglement
Leonardo A. Lessa, Meng Cheng, Chong Wang
Quantum entanglement measures of many-body states have been increasingly useful to characterize phases of matter. Here we explore a surprising connection between mixed state entang…
Measurement as a shortcut to long-range entangled quantum matter
Tsung-Cheng Lu, Leonardo A. Lessa, Isaac H. Kim +1
The preparation of long-range entangled states using unitary circuits is limited by Lieb-Robinson bounds, but circuits with projective measurements and feedback (``adaptive circuit…