Genuine multipartite entanglement measures based on multi-party
teleportation capability
- URL: http://arxiv.org/abs/2211.15986v2
- Date: Wed, 30 Aug 2023 01:01:54 GMT
- Title: Genuine multipartite entanglement measures based on multi-party
teleportation capability
- Authors: Minjin Choi, Eunok Bae, and Soojoon Lee
- Abstract summary: Quantifying entanglement is vital to understand entanglement as a resource in quantum information processing.
We define new multipartite entanglement measures for three-qubit systems based on the three-party teleportation capability.
- Score: 2.436414725944717
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantifying entanglement is vital to understand entanglement as a resource in
quantum information processing, and many entanglement measures have been
suggested for this purpose. When mathematically defining an entanglement
measure, we should consider the distinguishability between entangled and
separable states, the invariance under local transformation, the monotonicity
under local operations and classical communication, and the convexity. These
are reasonable requirements but may be insufficient, in particular when taking
into account the usefulness of quantum states in multi-party quantum
information processing. Therefore, if we want to investigate multipartite
entanglement as a resource, then it can be necessary to consider the usefulness
of quantum states in multi-party quantum information processing when we define
a multipartite entanglement measure. In this paper, we define new multipartite
entanglement measures for three-qubit systems based on the three-party
teleportation capability, and show that these entanglement measures satisfy the
requirements for being genuine multipartite entanglement measures. We also
generalize our entanglement measures for $N$-qubit systems, where $N \ge 4$,
and discuss that these quantities may be good candidates to measure genuine
multipartite entanglement.
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