Entanglement detection length of multipartite quantum states
- URL: http://arxiv.org/abs/2401.03367v1
- Date: Sun, 7 Jan 2024 02:13:47 GMT
- Title: Entanglement detection length of multipartite quantum states
- Authors: Fei Shi, Lin Chen, Giulio Chiribella, and Qi Zhao
- Abstract summary: We introduce the concept of entanglement detection length, defined as the minimum length of observables required to detect genuine multipartite entanglement.
We characterize the entanglement detection length for various types of genuinely entangled states, including GHZ-like states, Dicke states, and graph states.
- Score: 18.335755852205732
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Multipartite entanglement is a crucial resource for quantum computing,
communication, and metrology. However, detecting this resource can be
challenging: for genuine multipartite entanglement it may require global
measurements that are hard to implement experimentally. In this study, we
introduce the concept of entanglement detection length, defined as the minimum
length of observables required to detect genuine multipartite entanglement. We
characterize the entanglement detection length for various types of genuinely
entangled states, including GHZ-like states, Dicke states, and graph states. We
also present a classification of genuinely entangled states based on
entanglement detection length. Furthermore, we demonstrate that the
entanglement detection length differs from the minimum length of observables
needed to uniquely determine a genuinely entangled state. Our findings are
valuable for minimizing the number of observables that must be measured in
entanglement detection.
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