132 citations · 868 across the 21 of their papers we have counts for
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Quantum Error Correction from Complexity in Brownian SYK
Vijay Balasubramanian, Arjun Kar, Cathy Li +2
We study the robustness of quantum error correction in a one-parameter ensemble of codes generated by the Brownian SYK model, where the parameter quantifies the encoding complexity…
Non-Isometric Quantum Error Correction in Gravity
Arjun Kar
We construct and study an ensemble of non-isometric error correcting codes in a toy model of an evaporating black hole in two-dimensional dilaton gravity. In the preferred bases of…
A Matrix Model for Flat Space Quantum Gravity
Arjun Kar, Lampros Lamprou, Charles Marteau +1
We take a step towards the non-perturbative description of a two-dimensional dilaton-gravity theory which has a vanishing cosmological constant and contains black holes. This is do…
A Celestial Matrix Model
Arjun Kar, Lampros Lamprou, Charles Marteau +1
We construct a Hermitian random matrix model that provides a stable non-perturbative completion of Cangemi-Jackiw (CJ) gravity, a two-dimensional theory of flat spacetimes. The mat…
Quantum Error Correction in the Black Hole Interior
Vijay Balasubramanian, Arjun Kar, Cathy Li +1
We study the quantum error correction properties of the black hole interior in a toy model for an evaporating black hole: Jackiw-Teitelboim gravity entangled with a non-gravitation…
(K)not machine learning
Jessica Craven, Mark Hughes, Vishnu Jejjala +1
We review recent efforts to machine learn relations between knot invariants. Because these knot invariants have meaning in physics, we explore aspects of Chern-Simons theory and hi…
Learning knot invariants across dimensions
Jessica Craven, Mark Hughes, Vishnu Jejjala +1
We use deep neural networks to machine learn correlations between knot invariants in various dimensions. The three-dimensional invariant of interest is the Jones polynomial ,…
Random Matrix Theory for Complexity Growth and Black Hole Interiors
Arjun Kar, Lampros Lamprou, Moshe Rozali +1
We study a precise and computationally tractable notion of operator complexity in holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and two-dim…
Entanglement between two gravitating universes
Vijay Balasubramanian, Arjun Kar, Tomonori Ugajin
We study two disjoint universes in an entangled pure state. When only one universe contains gravity, the path integral for the Rényi entropy includes a wormhole bet…
Complexity Growth in Integrable and Chaotic Models
Vijay Balasubramanian, Matthew DeCross, Arjun Kar +2
We use the SYK family of models with Majorana fermions to study the complexity of time evolution, formulated as the shortest geodesic length on the unitary group manifold betwe…
Disentangling a Deep Learned Volume Formula
Jessica Craven, Vishnu Jejjala, Arjun Kar
We present a simple phenomenological formula which approximates the hyperbolic volume of a knot using only a single evaluation of its Jones polynomial at a root of unity. The avera…
Islands in de Sitter space
Vijay Balasubramanian, Arjun Kar, Tomonori Ugajin
We consider black holes in 2d de Sitter JT gravity coupled to a CFT, and entangled with matter in a disjoint non-gravitating universe. Tracing out the entangling matter leaves the…
Entanglement between two disjoint universes
Vijay Balasubramanian, Arjun Kar, Tomonori Ugajin
We use the replica method to compute the entanglement entropy of a universe without gravity entangled in a thermofield-double-like state with a disjoint gravitating universe. Inclu…
Spin structures and baby universes
Vijay Balasubramanian, Arjun Kar, Simon F. Ross +1
We extend a 2d topological model of the gravitational path integral to include sums over spin structure, corresponding to Neveu-Schwarz (NS) or Ramond (R) boundary conditions for f…
Geometric secret sharing in a model of Hawking radiation
Vijay Balasubramanian, Arjun Kar, Onkar Parrikar +2
We consider a black hole in three dimensional AdS space entangled with an auxiliary radiation system. We model the microstates of the black hole in terms of a field theory living o…
Holographic Probes of Inner Horizons
Vijay Balasubramanian, Arjun Kar, Gábor Sárosi
We study the inner horizons of rotating and charged black holes in anti-de Sitter space. These black holes have a classical analytic extension through the inner horizon to addition…
Quantum Complexity of Time Evolution with Chaotic Hamiltonians
Vijay Balasubramanian, Matthew DeCross, Arjun Kar +1
We study the quantum complexity of time evolution in large- chaotic systems, with the SYK model as our main example. This complexity is expected to increase linearly for exponen…
Deep Learning the Hyperbolic Volume of a Knot
Vishnu Jejjala, Arjun Kar, Onkar Parrikar
An important conjecture in knot theory relates the large-, double scaling limit of the colored Jones polynomial of a knot to the hyperbolic volume of the knot c…
Binding Complexity and Multiparty Entanglement
Vijay Balasubramanian, Matthew DeCross, Arjun Kar +1
We introduce "binding complexity", a new notion of circuit complexity which quantifies the difficulty of distributing entanglement among multiple parties, each consisting of many l…
Entanglement Entropy and the Colored Jones Polynomial
Vijay Balasubramanian, Matthew DeCross, Jackson Fliss +3
We study the multi-party entanglement structure of states in Chern-Simons theory created by performing the path integral on 3-manifolds with linked torus boundaries, called link co…