350 citations · 1.1k across the 22 of their papers we have counts for
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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…
Knitting Wormholes by Entanglement in Supergravity
Vijay Balasubramanian, Matthew DeCross, Gábor Sárosi
We construct a single-boundary wormhole geometry in type IIB supergravity by perturbing two stacks of extremal D3-branes in the decoupling limit. The solution interpolates from…
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…
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…