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2D Multipartite Valence Bond States in Quantum Antiferromagnets
E. Rico, H. J. Briegel
A quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice with the following requirements: i) The Hamiltonian is made out of nearest neighbour interactions. ii) It…
Completeness of the classical 2D Ising model and universal quantum computation
M. Van den Nest, W. Dür, H. J. Briegel
We prove that the 2D Ising model is complete in the sense that the partition function of any classical q-state spin model (on an arbitrary graph) can be expressed as a special inst…
A variational method based on weighted graph states
Simon Anders, Hans J. Briegel, Wolfgang Dür
In a recent article [Phys. Rev. Lett. 97 (2006), 107206], we have presented a class of states which is suitable as a variational set to find ground states in spin systems of arbitr…
Entanglement and its dynamics in open, dissipative systems
L. Hartmann, W. Dür, H. -J. Briegel
Quantum mechanical entanglement can exist in noisy open quantum systems at high temperature. A simple mechanism, where system particles are randomly reset to some standard initial…
Parameter estimation for mixed states from a single copy
Thomas Konrad, Otfried Gühne, Jürgen Audretsch +1
Given a single copy of a mixed state of the form ρ=λρ_1+(1-λ)ρ_2, what is the optimal measurement to estimate the parameter λ, if ρ_1 and ρ_2 are known? We present a general strate…
Fundamentals of universality in one-way quantum computation
M. Van den Nest, W. Dür, A. Miyake +1
We build a framework allowing for a systematic investigation of the issue: "Which quantum states are universal resources for one-way quantum computation?" We start by re-examining…