Computational Power and Correlation in Quantum Computational Tensor Network

Details Computational Power and Correlation in Quantum Computational Tensor Network Computational Power and Correlation in Quantum Computational Tensor Network

2011-06-17

arxiv.org/abs/1106.3377v5

Phys. Rev. A 85 032338 (2012)

Physics

Quantum Physics

10 pages, 1 figure; v2: Revised version; v3 General proof is added; v4 minor changes; v5 published version

Scientific paper

We investigate relations between computational power and correlation in resource states for quantum computational tensor network, which is a general framework for measurement-based quantum computation. We find that if the size of resource states is finite, not all resource states allow correct projective measurements in the correlation space, which is related to non-vanishing two-point correlations in the resource states. On the other hand, for infinite-size resource states, we can always implement correct projective measurements if the resource state can simulate arbitrary single-qubit rotations, since such a resource state exhibits exponentially-decaying two-point correlations. This implies that a many-body state whose two-point correlation cannot be upperbounded by an exponentially-decaying function cannot simulate arbitrary single-qubit rotations.

Affiliated with

Also associated with

No associations

Rating

Computational Power and Correlation in Quantum Computational Tensor Network 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 Computational Power and Correlation in Quantum Computational Tensor Network, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computational Power and Correlation in Quantum Computational Tensor Network will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-695493