Quantum complexity of time evolution with chaotic Hamiltonians
A bstract We study the quantum complexity of time evolution in large-N chaotic systems, with
the SYK model as our main example. This complexity is expected to increase linearly for …
the SYK model as our main example. This complexity is expected to increase linearly for …
Complexity measures from geometric actions onVirasoro and Kac-Moody orbits
J Erdmenger, M Gerbershagen, AL Weigel - Journal of High Energy …, 2020 - Springer
A bstract We further advance the study of the notion of computational complexity for 2d CFTs
based on a gate set built out of conformal symmetry transformations. Previously, it was …
based on a gate set built out of conformal symmetry transformations. Previously, it was …
Cosmological complexity
We compute the quantum circuit complexity of the evolution of scalar curvature perturbations
on expanding backgrounds, using the language of squeezed vacuum states. In particular …
on expanding backgrounds, using the language of squeezed vacuum states. In particular …
First law of holographic complexity
A Bernamonti, F Galli, J Hernandez, RC Myers… - Physical Review Letters, 2019 - APS
We investigate the variation of holographic complexity for two nearby target states. Based on
Nielsen's geometric approach, we find the variation only depends on the end point of the …
Nielsen's geometric approach, we find the variation only depends on the end point of the …
Aspects of the first law of complexity
A Bernamonti, F Galli, J Hernandez… - Journal of Physics A …, 2020 - iopscience.iop.org
We investigate the first law of complexity proposed in Bernamonti et al (2019 Phys. Rev. Lett.
123 081601), ie, the variation of complexity when the target state is perturbed, in more detail …
123 081601), ie, the variation of complexity when the target state is perturbed, in more detail …
Complexity for charged thermofield double states
A bstract We study Nielsen's circuit complexity for a charged thermofield double state (cTFD)
of free complex scalar quantum field theory in the presence of background electric field. We …
of free complex scalar quantum field theory in the presence of background electric field. We …
Chaos and complexity for inverted harmonic oscillators
LC Qu, J Chen, YX Liu - Physical Review D, 2022 - APS
We investigate the circuit complexity and Loschmidt echo for the (inverted) harmonic
oscillators. Using a perturbative approach, we analytically derive the Lyapunov exponent …
oscillators. Using a perturbative approach, we analytically derive the Lyapunov exponent …
Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism
P Bhargava, S Choudhury, S Chowdhury… - SciPost Physics …, 2021 - scipost.org
Abstract $ Circuit~ Complexity $, a well known computational technique has recently
become the backbone of the physics community to probe the chaotic behaviour and random …
become the backbone of the physics community to probe the chaotic behaviour and random …
Complexity measures in QFT and constrained geometric actions
A bstract We study the conditions under which, given a generic quantum system, complexity
metrics provide actual lower bounds to the circuit complexity associated to a set of quantum …
metrics provide actual lower bounds to the circuit complexity associated to a set of quantum …
Holographic and QFT complexity with angular momentum
A bstract We study the influence of angular momentum on quantum complexity for CFT
states holographically dual to rotating black holes. Using the holographic complexity= action …
states holographically dual to rotating black holes. Using the holographic complexity= action …