English

Detection and Classification of Three-qubit States Using $l_{1}$ Norm of Coherence

Quantum Physics 2023-02-14 v2

Abstract

Entanglement is a purely quantum mechanical phenomenon and thus it has no classical analog. On the other hand, coherence is a well-known phenomenon in classical optics and in quantum mechanics. Recent research shows that quantum coherence may act as a useful resource in quantum information theory. We will employ here quantum coherence to detect and classify the entanglement property of three-qubit states. Moreover, we have shown that if any three-qubit state violates another necessary condition for the detection of a general biseparable state then the given three-qubit state cannot be a biseparable state. Since there are only three categories of states for the three-qubit system so if we detect that the state under probe is neither a separable nor a biseparable state then we can definitely conclude that the given three-qubit state is a genuine entangled state. We have illustrated our results with a few examples.

Keywords

Cite

@article{arxiv.2106.09072,
  title  = {Detection and Classification of Three-qubit States Using $l_{1}$ Norm of Coherence},
  author = {Anu Kumari and Satyabrata Adhikari},
  journal= {arXiv preprint arXiv:2106.09072},
  year   = {2023}
}

Comments

10 pages, 1 figure, Revised version, Accepted in Quantum Information and Computation