Quantum computational complexity from quantum information to black holes and back
S Chapman, G Policastro - The European Physical Journal C, 2022 - Springer
Quantum computational complexity estimates the difficulty of constructing quantum states
from elementary operations, a problem of prime importance for quantum computation …
from elementary operations, a problem of prime importance for quantum computation …
Geometry of Krylov complexity
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 …
quantum systems governed by symmetries. We start by showing a direct link between a …
Is action complexity better for de Sitter space in Jackiw-Teitelboim gravity?
T Anegawa, N Iizuka, SK Sake, N Zenoni - Journal of High Energy Physics, 2023 - Springer
A bstract Volume complexity in dS 2 remains O (1) up to a critical time, after which it
suddenly diverges. On the other hand, for the dS 2 solution in JT gravity, there is a linear …
suddenly diverges. On the other hand, for the dS 2 solution in JT gravity, there is a linear …
Complexity growth in integrable and chaotic models
A bstract We use the SYK family of models with N Majorana fermions to study the complexity
of time evolution, formulated as the shortest geodesic length on the unitary group manifold …
of time evolution, formulated as the shortest geodesic length on the unitary group manifold …
Volume complexity of dS bubbles
R Auzzi, G Nardelli, GP Ungureanu, N Zenoni - Physical Review D, 2023 - APS
In the framework of the static patch approach to de Sitter holography introduced in [L.
Susskind, J. Hologr. Appl. Phys. 1, 1 (2021) 10.22128/jhap. 2021.455. 1005], the growth of …
Susskind, J. Hologr. Appl. Phys. 1, 1 (2021) 10.22128/jhap. 2021.455. 1005], the growth of …
From complexity geometry to holographic spacetime
J Erdmenger, AL Weigel, M Gerbershagen, MP Heller - Physical Review D, 2023 - APS
An important conjecture within the AdS/CFT correspondence relates holographic spacetime
to the quantum computational complexity of the dual quantum field theory. However, the …
to the quantum computational complexity of the dual quantum field theory. However, the …
Quantum Dynamics in Krylov Space: Methods and Applications
P Nandy, AS Matsoukas-Roubeas… - arxiv preprint arxiv …, 2024 - arxiv.org
The dynamics of quantum systems unfolds within a subspace of the state space or operator
space, known as the Krylov space. This review presents the use of Krylov subspace …
space, known as the Krylov space. This review presents the use of Krylov subspace …
On the time dependence of holographic complexity for charged AdS black holes with scalar hair
A bstract In the presence of a scalar hair perturbation, the Cauchy horizon of a Reissner-
Nordström black hole disappears and is replaced by the rapid collapse of the Einstein …
Nordström black hole disappears and is replaced by the rapid collapse of the Einstein …
Generalized volume-complexity for two-sided hyperscaling violating black branes
F Omidi - Journal of High Energy Physics, 2023 - Springer
A bstract In this paper, we investigate generalized volume-complexity\(\mathcal {C}\) gen for
a two-sided uncharged HV black brane in d+ 2 dimensions. This quantity which was recently …
a two-sided uncharged HV black brane in d+ 2 dimensions. This quantity which was recently …
A quantum complexity lower bound from differential geometry
AR Brown - Nature Physics, 2023 - nature.com
Differential geometry has long found applications in physics in general relativity and related
areas. More recently, it was proposed by Nielsen that the tools of differential geometry, when …
areas. More recently, it was proposed by Nielsen that the tools of differential geometry, when …