activity
20082012
most citedAsymptotic evolution of quantum walks with random coin

125 citations · 336 across the 7 of their papers we have counts for

collaborators

7 papers

quant-ph2012

How long can it take for a quantum channel to forget everything?

Andre Ahlbrecht, Florian Richter, Reinhard F. Werner

We investigate quantum channels, which after a finite number of repeated applications erase all input information, i.e., channels whose -th power (but no smaller power) is a…

quant-ph2012★ 53 cited

Asymptotic behavior of quantum walks with spatio-temporal coin fluctuations

Andre Ahlbrecht, Christopher Cedzich, Robert Matjeschk +3

Quantum walks subject to decoherence generically suffer the loss of their genuine quantum feature, a quadratically faster spreading compared to classical random walks. This intuiti…

quant-ph2011★ 16 cited

Bound Molecules in an Interacting Quantum Walk

Andre Ahlbrecht, Andrea Alberti, Dieter Meschede +3

We investigate a system of two atoms in an optical lattice, performing a quantum walk by state-dependent shift operations and a coin operation acting on the internal states. The at…

quant-ph2011★ 83 cited

Disordered Quantum Walks in one lattice dimension

Andre Ahlbrecht, Volkher B. Scholz, Albert H. Werner

We study a spin-1/2-particle moving on a one dimensional lattice subject to disorder induced by a random, space-dependent quantum coin. The discrete time evolution is given by a fa…

quant-ph2010★ 125 cited

Asymptotic evolution of quantum walks with random coin

Andre Ahlbrecht, Holger Vogts, Albert H. Werner +1

We study the asymptotic position distribution of general quantum walks on a lattice, including walks with a random coin, which is chosen from step to step by a general Markov chain…

math-ph2009

Monodromy analysis of the computational power of the Ising topological quantum computer

Andre Ahlbrecht, Lachezar S. Georgiev, Reinhard F. Werner

We show that all quantum gates which could be implemented by braiding of Ising anyons in the Ising topological quantum computer preserve the n-qubit Pauli group. Analyzing the stru…