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Traversable wormhole dynamics on a quantum processor
The holographic principle, theorized to be a property of quantum gravity, postulates that the
description of a volume of space can be encoded on a lower-dimensional boundary. The …
description of a volume of space can be encoded on a lower-dimensional boundary. The …
Operator complexity: a journey to the edge of Krylov space
A bstract Heisenberg time evolution under a chaotic many-body Hamiltonian H transforms
an initially simple operator into an increasingly complex one, as it spreads over Hilbert …
an initially simple operator into an increasingly complex one, as it spreads over Hilbert …
A Cordial Introduction to Double Scaled SYK
We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model and
other p-local quantum mechanical random Hamiltonians. These models exhibit an …
other p-local quantum mechanical random Hamiltonians. These models exhibit an …
Operator delocalization in quantum networks
We investigate the delocalization of operators in nonchaotic quantum systems whose
interactions are encoded in an underlying graph or network. In particular, we study how fast …
interactions are encoded in an underlying graph or network. In particular, we study how fast …
A sparse model of quantum holography
We study a sparse version of the Sachdev-Ye-Kitaev (SYK) model defined on random
hypergraphs constructed either by a random pruning procedure or by randomly sampling …
hypergraphs constructed either by a random pruning procedure or by randomly sampling …
Sparsity-Independent Lyapunov Exponent in the Sachdev-Ye-Kitaev Model
The saturation of a recently proposed universal bound on the Lyapunov exponent has been
conjectured to signal the existence of a gravity dual. This saturation occurs in the low …
conjectured to signal the existence of a gravity dual. This saturation occurs in the low …
Quantum chaos in the sparse SYK model
The Sachdev-Ye-Kitaev (SYK) model is a system of $ N $ Majorana fermions with random
interactions and strongly chaotic dynamics, which at low energy admits a holographically …
interactions and strongly chaotic dynamics, which at low energy admits a holographically …
Out-of-time-order correlators and Lyapunov exponents in sparse SYK
A bstract We use a combination of analytical and numerical methods to study out-of-time
order correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We find that at a …
order correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We find that at a …
Binary-coupling sparse Sachdev-Ye-Kitaev model: An improved model of quantum chaos and holography
The sparse version of the Sachdev-Ye-Kitaev (SYK) model reproduces essential features of
the original SYK model while reducing the number of disorder parameters. In this Research …
the original SYK model while reducing the number of disorder parameters. In this Research …
Optimizing strongly interacting fermionic Hamiltonians
The fundamental problem in much of physics and quantum chemistry is to optimize a low-
degree polynomial in certain anticommuting variables. Being a quantum mechanical …
degree polynomial in certain anticommuting variables. Being a quantum mechanical …