Complexity growth rates for AdS black holes with dyonic/ nonlinear charge/ stringy hair/ topological defects

Abstract

In a seminal paper by Brown et al. [Phys. Rev. Lett. 116, no. 19, 191301 (2016)] a new conjecture was proposed, namely it was argued that the quantum complexity of a holographic state is equal to action of a Wheeler-DeWitt patch in the late time limit suggesting that the fastest computer in nature are the black holes. Motivated by this conjecture, in the present paper, we study the action growth rate for different types of black holes such as dyonic, nonlinear charge, stringy hair, black hole with a global monopole and a cosmic string. In general we find that action growth rates of the Wheeler-DeWitt patch is finite for these black holes at the late time approach and satisfy the Lloyd bound on the rate of quantum computation. Furthermore, in the case of a charged as well as the neutral black hole with a global monopole and a conical defect we show that the form of the Lloyd bound relation remains unaltered but the energy is modified due to the nontrivial global topology of the spacetime.

arXiv comment9 pages, 1 figure

Cited by in corpus (8)

• Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
• Holographic complexity of anisotropic black branes
• Complexity growth rate during phase transitions
• Complexity growth of rotating black holes with a probe string
• Microstructure and Continuous Phase Transition of the Gauss-Bonnet AdS Black Hole
• Interface in AdS black hole spacetime
• Holographic complexity for nonlinearly charged Lifshitz black holes
• Interface in Kerr-AdS black hole spacetime