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20092023
most citedHolographic duality from random tensor networks

485 citations · 2.2k across the 55 of their papers we have counts for

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30 papers · 1 filter

quant-ph2022★ 1 cited

(No) Quantum space-time tradeoff for USTCON

Simon Apers, Stacey Jeffery, Galina Pass +1

Undirected -connectivity is important both for its applications in network problems, and for its theoretical connections with logspace complexity. Classically, a long line of w…

quant-ph2022★ 14 cited

The minimal canonical form of a tensor network

Arturo Acuaviva, Visu Makam, Harold Nieuwboer +4

Tensor networks have a gauge degree of freedom on the virtual degrees of freedom that are contracted. A canonical form is a choice of fixing this degree of freedom. For matrix prod…

quant-ph2022★ 27 cited

Random tensor networks with nontrivial links

Newton Cheng, Cécilia Lancien, Geoff Penington +2

Random tensor networks are a powerful toy model for understanding the entanglement structure of holographic quantum gravity. However, unlike holographic quantum gravity, their enta…

quant-ph2021★ 53 cited

Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes, Part II

Sepehr Nezami, Henry W. Lin, Adam R. Brown +6

In [1] we discussed how quantum gravity may be simulated using quantum devices and gave a specific proposal -- teleportation by size and the phenomenon of size-winding. Here we ela…

quant-ph2020★ 22 cited

A converse to Lieb-Robinson bounds in one dimension using index theory

Daniel Ranard, Michael Walter, Freek Witteveen

Unitary dynamics with a strict causal cone (or "light cone") have been studied extensively, under the name of quantum cellular automata (QCAs). In particular, QCAs in one dimension…

quant-ph2020★ 1 cited

Quantum algorithms for matrix scaling and matrix balancing

Joran van Apeldoorn, Sander Gribling, Yinan Li +3

Matrix scaling and matrix balancing are two basic linear-algebraic problems with a wide variety of applications, such as approximating the permanent, and pre-conditioning linear sy…