Physics – Quantum Physics
Scientific paper
2007-06-24
Phys. Rev. A 76, 052315 (2007)
Physics
Quantum Physics
21 pages, 7 figures
Scientific paper
10.1103/PhysRevA.76.052315
We introduce novel schemes for quantum computing based on local measurements on entangled resource states. This work elaborates on the framework established in [Phys. Rev. Lett. 98, 220503 (2007), quant-ph/0609149]. Our method makes use of tools from many-body physics - matrix product states, finitely correlated states or projected entangled pairs states - to show how measurements on entangled states can be viewed as processing quantum information. This work hence constitutes an instance where a quantum information problem - how to realize quantum computation - was approached using tools from many-body theory and not vice versa. We give a more detailed description of the setting, and present a large number of new examples. We find novel computational schemes, which differ from the original one-way computer for example in the way the randomness of measurement outcomes is handled. Also, schemes are presented where the logical qubits are no longer strictly localized on the resource state. Notably, we find a great flexibility in the properties of the universal resource states: They may for example exhibit non-vanishing long-range correlation functions or be locally arbitrarily close to a pure state. We discuss variants of Kitaev's toric code states as universal resources, and contrast this with situations where they can be efficiently classically simulated. This framework opens up a way of thinking of tailoring resource states to specific physical systems, such as cold atoms in optical lattices or linear optical systems.
Eisert Jens
Gross David
Perez-Garcia David
Schuch Norbert
No associations
LandOfFree
Measurement-based quantum computation beyond the one-way model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Measurement-based quantum computation beyond the one-way model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Measurement-based quantum computation beyond the one-way model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-703934