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We perform a comparative study of the time dependence of the holographic quantum complexity of some space like singular bulk gravitational backgrounds. This is done by considering the two available notions of complexity, one that relates it…

高能物理 - 理论 · 物理学 2018-07-04 Stefano Bolognesi , Eliezer Rabinovici , Shubho R. Roy

It is conjectured that the average energy provides an upper bound on the rate at which the complexity of a holographic boundary state grows. In this paper, we perturb a holographic CFT by a relevant operator with a time-dependent coupling,…

高能物理 - 理论 · 物理学 2018-05-30 Mudassir Moosa

This work investigates the connection between quantum complexity and gravitational dynamics within the framework of Horndeski gravity, extending the AdS/BCFT correspondence to include scalar-tensor interactions. By refining the…

高能物理 - 理论 · 物理学 2026-04-02 Fabiano F. Santos , Behnam Pourhassan , Emmanuel N. Saridakis

Quantum complexity is a measure of the minimal number of elementary operations required to approximately prepare a given state or unitary channel. Recently, this concept has found applications beyond quantum computing -- in studying the…

量子物理 · 物理学 2025-01-22 Michał Oszmaniec , Marcin Kotowski , Michał Horodecki , Nicholas Hunter-Jones

In this article, we study the complexity growth rate for Banados Teitlboim Zanelli, Schwarzschild, Reissner Nordstrom, and Kerr black holes using complexity-volume (CV) and complexity-action (CA) dualities and verify that it is proportional…

广义相对论与量子宇宙学 · 物理学 2025-10-15 Suraj Maurya , Sashideep Gutti , Rahul Nigam , Swastik Bhattacharya

We investigate a large-$N$ CFT in a high-energy pure state coupled to a small auxiliary system of $M$ weakly-interacting degrees of freedom, and argue the relative state complexity of the auxiliary system is holographically dual to an…

高能物理 - 理论 · 物理学 2020-07-28 Alexander Yosifov , Aditya Iyer , Lachezar Filipov

The circuit complexity of time-evolved pure quantum states grows linearly in time for an exponentially long time. This behavior has been proven in certain models, is conjectured to hold for generic quantum many-body systems, and is believed…

高能物理 - 理论 · 物理学 2025-10-22 Yale Fan , Nicholas Hunter-Jones , Andreas Karch , Shivan Mittal

In this work, we study the holographic entanglement entropy (HEE) and holographic complexity (HC) for three-dimensional dyonic quantum black holes, incorporating corrections arising from bulk quantum fields in the setup of double…

高能物理 - 理论 · 物理学 2026-03-03 Sanhita Parihar , Gurmeet Singh Punia

According to static patch holography, de Sitter space admits a unitary quantum description in terms of a dual theory living on the stretched horizon, that is a timelike surface close to the cosmological horizon. In this manuscript, we…

高能物理 - 理论 · 物理学 2024-04-23 Sergio E. Aguilar-Gutierrez , Stefano Baiguera , Nicoló Zenoni

Recent developments in anti-de Sitter holography point towards the association of an infinite class of covariant objects, the simplest one being codimension-one extremal volumes, with quantum computational complexity in the microscopic…

高能物理 - 理论 · 物理学 2024-09-16 Sergio E. Aguilar-Gutierrez , Michal P. Heller , Silke Van der Schueren

In this paper by making use of the "Complexity=Action" proposal, we study the complexity growth after shock waves in holographic field theories. We consider both double black hole-Vaidya and AdS-Vaidya with multiple shocks geometries. We…

高能物理 - 理论 · 物理学 2019-01-31 Mohammad Reza Tanhayi , Reyhaneh Vazirian , S. Khoeini-Moghaddam

Recently, Chapman et al. argued that holographic complexities for defects distinguish action from volume. Motivated by their work, we study complexity of quantum states in conformal field theory with boundary. In generic two-dimensional…

高能物理 - 理论 · 物理学 2020-01-08 Yoshiki Sato , Kento Watanabe

In this paper, according to CA duality, we study complexity growth of Born-Infeld (BI) black holes. As a comparison, we study action growth of dyonic black holes in Einstein-Maxwell gravity at the beginning. We study action growth of…

高能物理 - 理论 · 物理学 2019-12-24 Kun Meng

We consider the holographic complexity conjectures for de-Sitter invariant states in a quantum field theory on de Sitter space, dual to asymptotically anti-de Sitter geometries with de Sitter boundaries. The bulk holographic duals include…

高能物理 - 理论 · 物理学 2017-09-06 Alan Reynolds , Simon F. Ross

In the study of "holographic complexity", upper bounds on the rate of growth of the (specific) complexity of field theories with holographic duals have attracted much attention. Underlying these upper bounds there are inequalities relating…

高能物理 - 理论 · 物理学 2019-05-03 Brett McInnes

We employ the "complexity equals action" conjecture to investigate the action growth rate for the charged and neutral AdS black branes of a holographic toy model consisting of Einstein-Maxwell theory in $d + 1$-dimensional bulk spacetime…

高能物理 - 理论 · 物理学 2021-11-03 Davood Mahdavian Yekta , H. Babaei-Aghbolagh , Komeil Babaei Velni , H. Mohammadzadeh

In the presence of a scalar hair perturbation, the Cauchy horizon of a Reissner-Nordstr\"om black hole disappears and is replaced by the rapid collapse of the Einstein-Rosen bridge, which leads to a Kasner singularity [1,2]. We study the…

The recently proposed complexity-action conjecture allows one to calculate how fast one can produce a quantum state from a reference state in terms of the on-shell action of the dual AdS black hole at the Wheeler-DeWitt patch. We show that…

高能物理 - 理论 · 物理学 2017-04-12 Hyat Huang , Xing-Hui Feng , H. Lu

We use the complexity equals action proposal to calculate the rate of complexity growth for field theories that are the holographic duals of asymptotically flat spacetimes. To this aim, we evaluate the on-shell action of asymptotically flat…

高能物理 - 理论 · 物理学 2018-08-15 Reza Fareghbal , Pedram Karimi

Our earlier paper "Complexity Equals Action" conjectured that the quantum computational complexity of a holographic state is given by the classical action of a region in the bulk (the "Wheeler-DeWitt" patch). We provide calculations for the…

高能物理 - 理论 · 物理学 2016-05-12 Adam R. Brown , Daniel A. Roberts , Leonard Susskind , Brian Swingle , Ying Zhao