5 papers
The JLMS formula in a large code with approximate error correction
Xi Dong, Donald Marolf, Pratik Rath
Gauge/gravity duality is often described as a quantum error correcting code. However, as seen in the Jafferis-Lewkowycz-Maldacena-Suh (JLMS) formula, exact quantum error correction…
Holographic codes and bulk RG flows
Xi Dong, Donald Marolf, Pratik Rath
We consider the coarse-graining of holographic quantum error correcting codes under a generalized notion of bulk renormalization-group flow. In particular, we study the renormaliza…
Geometric Entropies and their Hamiltonian Flows
Xi Dong, Donald Marolf, Pratik Rath
In holographic theories, the Hubeny-Rangamani-Takayanagi (HRT) area operator plays a key role in our understanding of the emergence of semiclassical Einstein-Hilbert gravity. When…
Entanglement Negativity and Replica Symmetry Breaking in General Holographic States
Xi Dong, Jonah Kudler-Flam, Pratik Rath
The entanglement negativity is a useful measure of quantum entanglement in bipartite mixed states. In random tensor networks (RTNs), which are related to fixed-a…
Algebras and Hilbert spaces from gravitational path integrals: Understanding Ryu-Takayanagi/HRT as entropy without AdS/CFT
Eugenia Colafranceschi, Xi Dong, Donald Marolf +1
Recent works by Chandrasekaran, Penington, and Witten have shown in various special contexts that the quantum-corrected Ryu-Takayanagi (RT) entropy (or its covariant Hubeny-Rangama…