Exploring quantum complexity in holographic systems
by
DrRoy Pratim
→
Europe/Rome
Description
Complexity of a quantum state is the minimal number of unitary transformations necessary to construct this state from a given reference state. Recently, there have been efforts to calculate the complexity of strongly coupled field theories using the AdS/CFT correspondence, which relates a classical gravity theory in anti de Sitter space to a strongly coupled field theory on the boundary of this space.
In this talk, the holographic methods of calculating complexity, known in the literature as the Complexity=Volume and Complexity=Action conjectures, will be reviewed (including the concept of subregion complexity). Subsequently, some recent work elucidating the general properties of subregion complexity (focusing on the divergence structure and holographic phase transitions) will be described. Finally, both the Complexity=Volume and Complexity=Action conjectures will be studied in an Einstein-dilaton gravity model. The results obtained from both proposals will be explained and significant differences from the existing literature will be pointed out.
