activity
20052024
most citedQuantum Google in a Complex Network

93 citations · 178 across the 12 of their papers we have counts for

collaborators

12 papers

quant-ph2024★ 18 cited

Optimized measurement-free and fault-tolerant quantum error correction for neutral atoms

Stefano Veroni, Markus Müller, Giacomo Giudice

A major challenge in performing quantum error correction (QEC) is implementing reliable measurements and conditional feed-forward operations. In quantum computing platforms support…

quant-ph2024★ 6 cited

Lift-Connected Surface Codes

Josias Old, Manuel Rispler, Markus Müller

We use the recently introduced lifted product to construct a family of Quantum Low Density Parity Check Codes (QLDPC codes). The codes we obtain can be viewed as stacks of surface…

quant-ph2023★ 15 cited

Accurate optimal quantum error correction thresholds from coherent information

Luis Colmenarez, Ze-Min Huang, Sebastian Diehl +1

Quantum error correcting (QEC) codes protect quantum information from decoherence, as long as error rates fall below critical error thresholds. In general, obtaining thresholds imp…

cond-mat.dis-nn2018★ 26 cited

Algebraic Localization from Power-Law Interactions in Disordered Quantum Wires

Thomas Botzung, Davide Vodola, Piero Naldesi +3

We analyze the effects of disorder on the correlation functions of one-dimensional quantum models of fermions and spins with long-range interactions that decay with distance …

quant-ph2014

Quantum Google Algorithm: Construction and Application to Complex Networks

G. D. Paparo, M. Müller, F. Comellas +1

We review the main findings on the ranking capabilities of the recently proposed Quantum PageRank algorithm (G.D. Paparo et al., Sci. Rep. 2, 444 (2012) and G.D. Paparo et al., Sci…

cond-mat.str-el2014★ 5 cited

Efficient algorithm to compute the Berry conductivity

A. Dauphin, M. Müller, M. A. Martin-Delgado

We propose and construct a numerical algorithm to calculate the Berry conductivity in topological band insulators. The method is applicable to cold atom systems as well as solid st…

quant-ph2013★ 93 cited

Quantum Google in a Complex Network

G. D. Paparo, M. Mueller, F. Comellas +1

We investigate the behavior of the recently proposed quantum Google algorithm, or quantum PageRank, in large complex networks. Applying the quantum algorithm to a part of the real…

math.CA2010★ 3 cited

How to Add a Noninteger Number of Terms: From Axioms to New Identities

Markus Mueller, Dierk Schleicher

Starting from a small number of well-motivated axioms, we derive a unique definition of sums with a noninteger number of addends. These "fractional sums" have properties that gener…

cs.IT2010★ 3 cited

Effective complexity of stationary process realizations

Nihat Ay, Markus Mueller, Arleta Szkola

The concept of effective complexity of an object as the minimal description length of its regularities has been initiated by Gell-Mann and Lloyd. The regularities are modeled by me…

quant-ph2008★ 6 cited

Quantum Bit Strings and Prefix-Free Hilbert Spaces

Markus Mueller, Caroline Rogers

We give a mathematical framework for manipulating indeterminate-length quantum bit strings. In particular, we define prefixes, fragments, tensor products and concatenation of such…

cs.IT2006★ 1 cited

Stationary Algorithmic Probability

Markus Mueller

Kolmogorov complexity and algorithmic probability are defined only up to an additive resp. multiplicative constant, since their actual values depend on the choice of the universal…

math.CA2005★ 2 cited

Fractional Sums and Euler-like Identities

Markus Mueller, Dierk Schleicher

We introduce a natural definition for sums of the form \[ \sum_{ν=1}^x f(ν) \] when the number of terms x is a rather arbitrary real or even complex number. The resulting theory in…