261 citations · 435 across the 4 of their papers we have counts for
6 papers
Improved spectral gaps for random quantum circuits: large local dimensions and all-to-all interactions
Jonas Haferkamp, Nicholas Hunter-Jones
Random quantum circuits are a central concept in quantum information theory with applications ranging from demonstrations of quantum computational advantage to descriptions of scra…
Spectral decoupling in many-body quantum chaos
Jordan Cotler, Nicholas Hunter-Jones
We argue that in a large class of disordered quantum many-body systems, the late time dynamics of time-dependent correlation functions is captured by random matrix theory, specific…
Unitary designs from statistical mechanics in random quantum circuits
Nicholas Hunter-Jones
Random quantum circuits are proficient information scramblers and efficient generators of randomness, rapidly approximating moments of the unitary group. We study the convergence o…
Operator growth in random quantum circuits with symmetry
Nicholas Hunter-Jones
We study random quantum circuits with symmetry, where the local 2-site unitaries are drawn from a quotient or subgroup of the full unitary group . Random quantum circuits are…
Chaos, Complexity, and Random Matrices
Jordan Cotler, Nicholas Hunter-Jones, Junyu Liu +1
Chaos and complexity entail an entropic and computational obstruction to describing a system, and thus are intrinsically difficult to characterize. In this paper, we consider time…
Consistency Conditions for an AdS/MERA Correspondence
Ning Bao, ChunJun Cao, Sean M. Carroll +4
The Multi-scale Entanglement Renormalization Ansatz (MERA) is a tensor network that provides an efficient way of variationally estimating the ground state of a critical quantum sys…