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Random quantum circuits
Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …
playground for quantum many-body physics and a tractable setting to explore universal …
Many-body localization in the age of classical computing
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …
many-body systems using only a few macroscopic parameters to determine the state of the …
Measurement-induced criticality in random quantum circuits
We investigate the critical behavior of the entanglement transition induced by projective
measurements in (Haar) random unitary quantum circuits. Using a replica approach, we …
measurements in (Haar) random unitary quantum circuits. Using a replica approach, we …
Measurement-driven entanglement transition in hybrid quantum circuits
In this paper we continue to explore “hybrid” quantum circuit models in one-dimension with
both unitary and measurement gates, focusing on the entanglement properties of wave …
both unitary and measurement gates, focusing on the entanglement properties of wave …
Scrambling is necessary but not sufficient for chaos
We show that out-of-time-order correlators (OTOCs) constitute a probe for local-operator
entanglement (LOE). There is strong evidence that a volumetric growth of LOE is a faithful …
entanglement (LOE). There is strong evidence that a volumetric growth of LOE is a faithful …
Postselection-free entanglement dynamics via spacetime duality
The dynamics of entanglement in “hybrid” nonunitary circuits (for example, involving both
unitary gates and quantum measurements) has recently become an object of intense study …
unitary gates and quantum measurements) has recently become an object of intense study …
Measurement-induced criticality in -dimensional hybrid quantum circuits
We investigate the dynamics of two-dimensional quantum spin systems under the combined
effect of random unitary gates and local projective measurements. When considering steady …
effect of random unitary gates and local projective measurements. When considering steady …
Exact emergent quantum state designs from quantum chaotic dynamics
We present exact results on a novel kind of emergent random matrix universality that
quantum many-body systems at infinite temperature can exhibit. Specifically, we consider an …
quantum many-body systems at infinite temperature can exhibit. Specifically, we consider an …
Fractal, logarithmic, and volume-law entangled nonthermal steady states via spacetime duality
The extension of many-body quantum dynamics to the nonunitary domain has led to a series
of exciting developments, including new out-of-equilibrium entanglement phases and phase …
of exciting developments, including new out-of-equilibrium entanglement phases and phase …
Spacetime duality between localization transitions and measurement-induced transitions
Time evolution of quantum many-body systems typically leads to a state with maximal
entanglement allowed by symmetries. Two distinct routes to impede entanglement growth …
entanglement allowed by symmetries. Two distinct routes to impede entanglement growth …