Minimal tomography with entanglement witnesses
Quantum Physics
2015-05-13 v1
Abstract
We introduce informationally complete measurements whose outcomes are entanglement witnesses and so answer the question of how many witnesses need to be measured to decide whether an arbitrary state is entangled or not: as many as the dimension of the state space. The optimized witness-based measurement can provide exponential improvement with respect to witness efficiency in high-dimensional Hilbert spaces, at the price of a reduction in the tomographic efficiency. We describe a systematic construction, and illustrate the matter at the example of two qubits.
Cite
@article{arxiv.0906.3985,
title = {Minimal tomography with entanglement witnesses},
author = {Huangjun Zhu and Yong Siah Teo and Berthold-Georg Englert},
journal= {arXiv preprint arXiv:0906.3985},
year = {2015}
}
Comments
5 pages, 1 figure