Identifying the three-qubit state with the quantum uncertainty relation
Phys. Rev. A 113, 062451 – Published 22 June, 2026
DOI: https://doi.org/10.1103/hn5t-hb29
Abstract
The state, a canonical representative of multipartite quantum entanglement, plays a crucial role in quantum information science due to its robust entanglement properties. Quantum uncertainty relations, on the other hand, form a fundamental cornerstone of quantum mechanics. This work introduces an alternative approach to identifying tripartite states by leveraging tripartite quantum uncertainty relations. Using a specific set of noncommuting observables, we formulate an uncertainty-based criterion for identifying states and rigorously demonstrate its generality in distinguishing them from other tripartite entangled states, such as the Greenberger-Horne-Zeilinger state. Our approach bypasses the need for full quantum state tomography, requiring only the verification of a set of uncertainty inequalities for efficient -state identification. This work provides a theoretical tool for identifying multipartite entangled states and highlights the significant role of quantum uncertainty relations in entanglement characterization.