276 citations · 2.9k across the 49 of their papers we have counts for
5 papers · 1 filter
Entanglement and geometry from subalgebras of the Virasoro algebra
Pawel Caputa, Dongsheng Ge
In this work we study families of generalised coherent states constructed from SL(2,R) subalgebras of the Virasoro algebra in two-dimensional conformal field theories. We derive th…
Spread Complexity and Topological Transitions in the Kitaev Chain
Pawel Caputa, Nitin Gupta, S. Shajidul Haque +3
A number of recent works have argued that quantum complexity, a well-known concept in computer science that has re-emerged recently in the context of the physics of black holes, ma…
Quantum complexity and topological phases of matter
Pawel Caputa, Sinong Liu
In this work, we find that the complexity of quantum many-body states, defined as a spread in the Krylov basis, may serve as a new probe that distinguishes topological phases of ma…
Quantum chaos and the complexity of spread of states
Vijay Balasubramanian, Pawel Caputa, Javier Magan +1
We propose a measure of quantum state complexity defined by minimizing the spread of the wave-function over all choices of basis. Our measure is controlled by the "survival amplitu…
Q-curvature and Path Integral Complexity
Hugo A. Camargo, Pawel Caputa, Pratik Nandy
We discuss the interpretation of path integral optimization as a uniformization problem in even dimensions. This perspective allows for a systematical construction of the higher-di…