14 papers
Universal Growth of Krylov Complexity Across a Quantum Phase Transition
András Grabarits, Adolfo del Campo
We study the statistical properties of the spread complexity in the Krylov space of quantum systems driven across a quantum phase transition. Using the diabatic Magnus expansion, w…
Universal Defect Statistics in Counterdiabatic Quantum Critical Dynamics
András Grabarits, Adolfo del Campo
Counterdiabatic driving (CD) provides a framework for suppressing excitations in nonadiabatic processes. Exact CD protocols require nonlocal control fields, and CD approximations w…
Universal Non-stabilizerness Dynamics Across Quantum Phase Transitions
András Grabarits, Adolfo del Campo
Quantum magic, or non-stabilizerness, is an important quantum resource that characterizes computational power beyond classically simulable Clifford operations and is therefore esse…
Krylov Dynamics and Operator Growth in Time-Dependent Systems via Lie Algebras
András Grabarits, E. Medina-Guerra, Adolfo del Campo
We study quantum dynamics generated by time-dependent Hamiltonians in Krylov space, the minimal subspace in which the evolution takes place. We establish a direct link between dyna…
Digitized counterdiabatic quantum critical dynamics
Anne-Maria Visuri, Alejandro Gomez Cadavid, Balaganchi A. Bhargava +6
We experimentally demonstrate that a digitized counterdiabatic quantum protocol reduces the number of topological defects created during a fast quench across a quantum phase transi…
Quantum Transition Rates in Arbitrary Physical Processes
Adolfo del Campo, András Grabarits, Dmitrii Makarov +1
We introduce a framework for computing time-dependent quantum transition rates (QTRs) that describe the pace of evolution of a quantum state from a given subspace to a target subsp…