276 citations · 637 across the 12 of their papers we have counts for
20 papers · 1 filter
Holographic Local Operator Quenches with Conserved Momentum and Spin
Pawel Caputa, Pedro Castellini Grand, Justin R. David +1
We investigate the holographic dictionary relating point particles carrying longitudinal momentum or angular momentum in asymptotically AdS spacetimes to suitably regulated, ti…
Gauge Invariants at Arbitrary and Trace Relations
Pawel Caputa, Robert de Mello Koch
We investigate conformal field theories with gauge group at arbitrary rank , focusing on the role of trace relations in determining the structure of the Hilbert space. Wo…
Quantum complexity in gravity, quantum field theory, and quantum information science
Stefano Baiguera, Vijay Balasubramanian, Pawel Caputa +4
Quantum complexity quantifies the difficulty of preparing a state or implementing a unitary transformation with limited resources. Applications range from quantum computation to co…
Krylov complexity of density matrix operators
Pawel Caputa, Hyun-Sik Jeong, Sinong Liu +2
Quantifying complexity in quantum systems has witnessed a surge of interest in recent years, with Krylov-based measures such as Krylov complexity () and Spread complexity ($C_…
Krylov complexity of modular Hamiltonian evolution
Pawel Caputa, Javier M. Magan, Dimitrios Patramanis +1
We investigate the complexity of states and operators evolved with the modular Hamiltonian by using the Krylov basis. In the first part, we formulate the problem for states and ana…
Geometry of Krylov Complexity
Pawel Caputa, Javier M. Magan, Dimitrios Patramanis
We develop a geometric approach to operator growth and Krylov complexity in many-body quantum systems governed by symmetries. We start by showing a direct link between a unitary ev…