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Most quantum states are too entangled to be useful as computational resources
D. Gross, S. Flammia, J. Eisert
It is often argued that entanglement is at the root of the speedup for quantum compared to classical computation, and that one needs a sufficient amount of entanglement for this sp…
Quantum computational webs
D. Gross, J. Eisert
We introduce the notion of quantum computational webs: These are quantum states universal for measurement-based computation which can be built up from a collection of simple primit…
Information propagation through quantum chains with fluctuating disorder
Christian K. Burrell, Jens Eisert, Tobias J. Osborne
We investigate the propagation of information through one-dimensional quantum chains in fluctuating external fields. We find that information propagation is suppressed, but in a qu…
Area laws for the entanglement entropy - a review
J. Eisert, M. Cramer, M. B. Plenio
Physical interactions in quantum many-body systems are typically local: Individual constituents interact mainly with their few nearest neighbors. This locality of interactions is i…
Supersonic quantum communication
J. Eisert, D. Gross
When locally exciting a quantum lattice model, the excitation will propagate through the lattice. The effect is responsible for a wealth of non-equilibrium phenomena, and has been…
Locality of dynamics in general harmonic quantum systems
M. Cramer, A. Serafini, J. Eisert
The Lieb-Robinson theorem states that locality is approximately preserved in the dynamics of quantum lattice systems. Whenever one has finite-dimensional constituents, observables…