activity
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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Showing 2016Show all

9 papers · 1 filter

quant-ph2016★ 8 cited

Multi-partite entanglement

Michael Walter, David Gross, Jens Eisert

We give an introduction to the theory of multi-partite entanglement. We begin by describing the "coordinate system" of the field: Are we dealing with pure or mixed states, with sin…

quant-ph2016★ 35 cited

Entanglement from Topology in Chern-Simons Theory

Grant Salton, Brian Swingle, Michael Walter

The way in which geometry encodes entanglement is a topic of much recent interest in quantum many-body physics and the AdS/CFT duality. This relation is particularly pronounced in…

math.AG2016★ 7 cited

The Horn inequalities from a geometric point of view

Nicole Berline, Michèle Vergne, Michael Walter

We give an exposition of the Horn inequalities and their triple role characterizing tensor product invariants, eigenvalues of sums of Hermitian matrices, and intersections of Schub…

quant-ph2016★ 41 cited

Conditional Mutual Information of Bipartite Unitaries and Scrambling

Dawei Ding, Patrick Hayden, Michael Walter

One way to diagnose chaos in bipartite unitary channels is via the tripartite information of the corresponding Choi state, which for certain choices of the subsystems reduces to th…

quant-ph2016★ 74 cited

Multipartite Entanglement in Stabilizer Tensor Networks

Sepehr Nezami, Michael Walter

Despite the fundamental importance of quantum entanglement in many-body systems, our understanding is mostly limited to bipartite situations. Indeed, even defining appropriate noti…

quant-ph2016★ 12 cited

The Mathematics of Entanglement

Fernando G. S. L. Brandao, Matthias Christandl, Aram W. Harrow +1

These notes are from a series of lectures given at the Universidad de Los Andes in Bogotá, Colombia on some topics of current interest in quantum information. While they aim to be…