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19942026
most citedArea laws for the entanglement entropy - a review

2.9k citations

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132 papers · 1 filter

quant-ph2013★ 55 cited

Controlling the transport of an ion: Classical and quantum mechanical solutions

H. A. Fürst, M. H. Goerz, U. G. Poschinger +6

We investigate the performance of different control techniques for ion transport in state-of-the-art segmented miniaturized ion traps. We employ numerical optimization of classical…

cs.CE2013★ 1 cited

Information Maps: A Practical Approach to Position Dependent Parameterization

Benjamin wilking, Daniel Meissner, Stephan Reuter +1

In this contribution a practical approach to determine and store position dependent parameters is presented. These parameters can be obtained, among others, using experimental resu…

quant-ph2013★ 2 cited

Noise Studies of Driven Geometric Phase Gates with Trapped Ions

A. Lemmer, A. Bermudez, M. B. Plenio

We present a study of the performance of the trapped-ion driven geometric phase gates introduced in [New J. Phys. 15, 083001 (2013)] when realized in a stimulated Raman transition.…

math.CO2013★ 1 cited

Longest Paths in Circular Arc Graphs

Felix Joos

As observed by Rautenbach and Sereni (arXiv:1302.5503) there is a gap in the proof of the theorem of Balister et al. (Longest paths in circular arc graphs, Combin. Probab. Comput.,…

math.CO2013

Forests and Trees among Gallai Graphs

Felix Joos, Van Bang Le, Dieter Rautenbach

The Gallai graph of a graph has the edges of as its vertices and two distinct vertices and of are adjacent in if the edges and of a…

cond-mat.soft2013

Deformation induced changes in surface properties of polymers investigated by scanning force microscopy

Sabine Hild, Armin Rosa, Othmar Marti

In this study the possibility of combining commercial Scanning Force Microscopes (SFM) with stretching devices for the investigation of microscopic surface changes during stepwise…

math.CO2013

Induced Matchings in Subcubic Graphs

Felix Joos, Dieter Rautenbach, Thomas Sasse

We prove that a cubic graph with edges has an induced matching with at least edges. Our result generalizes a result for planar graphs due to Kang, Mnich, and Müller (Indu…

math.CO2013

The Cycle Spectrum of Claw-free Hamiltonian Graphs

Jonas Eckert, Felix Joos, Dieter Rautenbach

If is a claw-free hamiltonian graph of order and maximum degree with , then has cycles of at least $\min\left\{ n,\left\lceil\frac{3}{2}Δ\right\rceil\righ…

math.CO2013★ 2 cited

Random Subgraphs in Sparse Graphs

Felix Joos

We investigate the threshold probability for connectivity of sparse graphs under weak assumptions. As a corollary this completely solve the problem for Cartesian powers of arbitrar…

math.CO2013

Independence and Matching Number in Graphs with Maximum Degree 4

Felix Joos

We prove that and for every triangle-free graph with maximum degree at most , where is the independenc…

math.AP2013★ 2 cited

Local Strong Solutions for the Non-Linear Thermoelastic Plate Equation on Rectangular Domains in -Spaces

Stephan Fackler, Tobias Nau

We consider the non-linear thermoelastic plate equation in rectangular domains . More precisely, is considered to be given as the Cartesian product of whole or half spaces a…

math.ST2013★ 24 cited

M-Functionals of Multivariate Scatter

Lutz Duembgen, Markus Pauly, Thomas Schweizer

This survey provides a self-contained account of -estimation of multivariate scatter. In particular, we present new proofs for existence of the underlying -functionals and di…

quant-ph2013★ 157 cited

Extracting entanglement from identical particles

N. Killoran, M. Cramer, M. B. Plenio

Identical particles and entanglement are both fundamental components of quantum mechanics. However, when identical particles are condensed in a single spatial mode, the standard no…

cond-mat.quant-gas2013★ 185 cited

Tensor networks for Lattice Gauge Theories and Atomic Quantum Simulation

E. Rico, T. Pichler, M. Dalmonte +2

We show that gauge invariant quantum link models, Abelian and non-Abelian, can be exactly described in terms of tensor networks states. Quantum link models represent an ideal bridg…

cond-mat.str-el2013★ 11 cited

Transport enhancement from incoherent coupling between one-dimensional quantum conductors

J. J. Mendoza-Arenas, M. T. Mitchison, S. R. Clark +3

We study the non-equilibrium transport properties of a highly anisotropic two-dimensional lattice of spin-1/2 particles governed by a Heisenberg XXZ Hamiltonian. The anisotropy of…

math.CO2013★ 2 cited

A Characterization of Mixed Unit Interval Graphs

Felix Joos

We give a complete characterization of mixed unit interval graphs, the intersection graphs of closed, open, and half-open unit intervals of the real line. This is a proper supercla…

math.ST2013★ 10 cited

Maximal Non-Exchangeability in Dimension d

Michael Harder, Ulrich Stadtmüller

We give the maximal distance between a copula and itself when the argument is permuted for arbitrary dimension, generalizing a result for dimension two by Nelsen (2007), Klement an…

quant-ph2013★ 51 cited

Inverse counting statistics for stochastic and open quantum systems: the characteristic polynomial approach

M. Bruderer, L. D. Contreras-Pulido, M. Thaller +3

We consider stochastic and open quantum systems with a finite number of states, where a stochastic transition between two specific states is monitored by a detector. The long-time…

quant-ph2013★ 27 cited

Competition between memory-keeping and memory-erasing decoherence channels

Tony J. G. Apollaro, Salvatore Lorenzo, Carlo Di Franco +2

We study the competing effects of simultaneous Markovian and non-Markovian decoherence mechanisms acting on a single spin. We show the existence of a threshold in the relative stre…

math.AP2013

Maximal Regularity for Non-Autonomous Second Order Cauchy Problems

Dominik Dier, El Maati Ouhabaz

We consider non-autonomous wave equations \[ \left\{ \begin{aligned} \&\ddot u(t) + \B(t)\dot u(t) + \A(t)u(t) = f(t) \quad t\text{-a.e.}\\ \&u(0)=u_0,\, \dot u(0) = u_1. \end{alig…

cs.DS2013★ 4 cited

From Theory to Practice: Plug and Play with Succinct Data Structures

Simon Gog, Timo Beller, Alistair Moffat +1

Engineering efficient implementations of compact and succinct structures is a time-consuming and challenging task, since there is no standard library of easy-to- use, highly optimi…

quant-ph2013★ 56 cited

Strongly Coupled Diamond Spin Qubits by Molecular Nitrogen Implantation

Takashi Yamamoto, Christoph Müller, Liam P. McGuinness +7

Ionized nitrogen molecules (N) are used as efficient point sources for creating NV pairs in diamond with nanoscale spatial separation and up to 55 kHz magnetic c…

math-ph2013★ 3 cited

Zero modes of quantum graph Laplacians and an index theorem

Jens Bolte, Sebastian Egger, Frank Steiner

We study zero modes of Laplacians on compact and non-compact metric graphs with general self-adjoint vertex conditions. In the first part of the paper the number of zero modes is e…

quant-ph2013★ 18 cited

Ab-initio characterization of the quantum linear-zigzag transition using DMRG

Pietro Silvi, Tommaso Calarco, Giovanna Morigi +1

Ions of the same charge inside confining potentials can form crystalline structures which can be controlled by means of the ions density and of the external trap parameters. In par…