6 papers
Continuous majorization in quantum phase space for Wigner-positive states and proposals for Wigner-negative states
Jan de Boer, Giuseppe Di Giulio, Esko Keski-Vakkuri +1
In quantum resource theory, one is often interested in identifying which states serve as the best resources for particular quantum tasks. If a relative comparison between quantum s…
Modular theory and symmetry resolution in hyperfinite von Neumann algebras
Giuseppe Di Giulio, Moritz Dorband, Johanna Erdmenger +1
We study modular theory in hyperfinite von Neumann algebras, i.e. in those of type II or type III, from the viewpoint of a subregion charge sector decomposition. We address this sy…
Growth of block diagonal operators and symmetry-resolved Krylov complexity
Pawel Caputa, Giuseppe Di Giulio, Tran Quang Loc
This work addresses how the growth of invariant operators is influenced by their underlying symmetry structure. For this purpose, we introduce the symmetry-resolved Krylov complexi…
Symmetry-Resolved Spread Complexity
Pawel Caputa, Giuseppe Di Giulio, Tran Quang Loc
In this work, we investigate the impact of conserved charges on the dynamics of spread complexity of quantum states. Building on the notion of symmetry-resolved Krylov complexity […
Local Quenches from a Krylov Perspective
Pawel Caputa, Giuseppe Di Giulio
In this work, we investigate local quench dynamics in two-dimensional conformal field theories using Krylov space methods. We derive Lanczos coefficients, spread complexity, and Kr…
Wormhole-induced effective coupling in SYK chains
Pablo Basteiro, Giuseppe Di Giulio, Johanna Erdmenger +2
Inhomogeneous quantum chains have recently been considered in the context of developing novel discrete realizations of holographic dualities. To advance this programme, we explore…