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19982016
most citedArea laws for the entanglement entropy - a review

2.9k citations · 18.4k across the 101 of their papers we have counts for

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Showing 2006 · quant-phShow all

11 papers · 2 filters

quant-ph2006★ 42 cited

General linear-optical quantum state generation scheme: Applications to maximally path-entangled states

N. M. VanMeter, P. Lougovski, D. B. Uskov +3

We introduce schemes for linear-optical quantum state generation. A quantum state generator is a device that prepares a desired quantum state using product inputs from photon sourc…

quant-ph2006★ 172 cited

Covariance matrices and the separability problem

O. Gühne, P. Hyllus, O. Gittsovich +1

We propose a unifying approach to the separability problem using covariance matrices of locally measurable observables. From a practical point of view, our approach leads to strong…

quant-ph2006★ 87 cited

Statistics dependence of the entanglement entropy

M. Cramer, J. Eisert, M. B. Plenio

The entanglement entropy of a distinguished region of a quantum many-body system reflects the entanglement present in its pure ground state. In this work, we establish scaling laws…

quant-ph2006★ 122 cited

Percolation, renormalization, and quantum computing with non-deterministic gates

K. Kieling, T. Rudolph, J. Eisert

We apply a notion of static renormalization to the preparation of entangled states for quantum computing, exploiting ideas from percolation theory. Such a strategy yields a novel w…

quant-ph2006★ 374 cited

Evenly distributed unitaries: on the structure of unitary designs

D. Gross, K. Audenaert, J. Eisert

We clarify the mathematical structure underlying unitary -designs. These are sets of unitary matrices, evenly distributed in the sense that the average of any -th order polyn…

quant-ph2006★ 262 cited

Novel schemes for measurement-based quantum computation

D. Gross, J. Eisert

We establish a framework which allows one to construct novel schemes for measurement-based quantum computation. The technique further develops tools from many-body physics - based…