PIRSA:19120055

Holographic Uhlmann Holonomy and the Entanglement Wedge Symplectic Form

APA

(2019). Holographic Uhlmann Holonomy and the Entanglement Wedge Symplectic Form. Perimeter Institute. https://pirsa.org/19120055

MLA

Holographic Uhlmann Holonomy and the Entanglement Wedge Symplectic Form. Perimeter Institute, Dec. 09, 2019, https://pirsa.org/19120055

BibTex

          @misc{ pirsa_19120055,
            doi = {},
            url = {https://pirsa.org/19120055},
            author = {},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Holographic Uhlmann Holonomy and the Entanglement Wedge Symplectic Form},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {dec},
            note = {PIRSA:19120055 see, \url{https://pirsa.org}}
          }
          

Abstract

Subregion duality is an idea in holography which states that every subregion of the boundary theory has a corresponding subregion in the bulk theory, called the 'entanglement wedge', to which it is dual. In the classical limit of the gravity theory, we expect the fields in the entanglement wedge to permit a Hamiltonian description involving a phase space and Poisson brackets. In this talk, I will describe how this phase space arises from the point of view of the boundary theory. In particular, I will explain how it emerges from measurements of a certain quantum information-theoretic quantity known as the 'Uhlmann phase', in the boundary subregion.