Lecture notes on generalized symmetries and applications
In this lecture note, we give a basic introduction to the rapidly developing concepts of
generalized symmetries, from the perspectives of both high energy physics and condensed …
generalized symmetries, from the perspectives of both high energy physics and condensed …
Non-Abelian topological order and anyons on a trapped-ion processor
Non-Abelian topological order is a coveted state of matter with remarkable properties,
including quasiparticles that can remember the sequence in which they are exchanged …
including quasiparticles that can remember the sequence in which they are exchanged …
Measurement as a shortcut to long-range entangled quantum matter
The preparation of long-range entangled states using unitary circuits is limited by Lieb-
Robinson bounds, but circuits with projective measurements and feedback (“adaptive …
Robinson bounds, but circuits with projective measurements and feedback (“adaptive …
Hierarchy of topological order from finite-depth unitaries, measurement, and feedforward
Long-range entanglement—the backbone of topologically ordered states—cannot be
created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …
created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …
Long-range entanglement from measuring symmetry-protected topological phases
A fundamental distinction between many-body quantum states are those with short-and long-
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …
Mixed-state long-range order and criticality from measurement and feedback
We propose a general framework for using local measurements, local unitaries, and
nonlocal classical communication to construct quantum channels, which can efficiently …
nonlocal classical communication to construct quantum channels, which can efficiently …
Entanglement and charge-sharpening transitions in U (1) symmetric monitored quantum circuits
Monitored quantum circuits can exhibit an entanglement transition as a function of the rate of
measurements, stemming from the competition between scrambling unitary dynamics and …
measurements, stemming from the competition between scrambling unitary dynamics and …
Fermionic symmetry protected topological phases and cobordisms
A bstract It has been proposed recently that interacting Symmetry Protected Topological
Phases can be classified using cobordism theory. We test this proposal in the case of …
Phases can be classified using cobordism theory. We test this proposal in the case of …