Quantitative verification of entanglement and fidelities from incomplete measurement data

Details Quantitative verification of entanglement and fidelities from incomplete measurement data Quantitative verification of entanglement and fidelities from incomplete measurement data

2009-02-12

arxiv.org/abs/0902.2093v2

J. Mod. Opt. 56, 2100-2105 (2009)

Physics

Quantum Physics

7 pages, PQE 2009 special issue

Scientific paper

Many experiments in quantum information aim at creating multi-partite entangled states. Quantifying the amount of entanglement that was actually generated can, in principle, be accomplished using full-state tomography. This method requires the determination of a parameter set that is growing exponentially with the number of qubits and becomes infeasible even for moderate numbers of particles. Non-trivial bounds on experimentally prepared entanglement can however be obtained from partial information on the density matrix. The fundamental question that needs to be addressed in this context is then formulated as: What is the entanglement content of the least entangled quantum state that is compatible with the available measurement data? We formulate the problem mathematically employing methods from the theory of semi-definite programming and then address this problem for the case, where the goal of the experiment is the creation of graph states. The observables that we consider are the generators of the stabilizer group, thus the number of measurement settings grows only linearly in the number of qubits. We provide analytical solutions as well as numerical methods that may be applied directly to experiments, and compare the obtained bounds with results from full-state tomography for simulated data.

Affiliated with

Also associated with

No associations

Rating

Quantitative verification of entanglement and fidelities from incomplete measurement data 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 Quantitative verification of entanglement and fidelities from incomplete measurement data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantitative verification of entanglement and fidelities from incomplete measurement data will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556370