Three-party pure quantum states are determined by two two-party reduced states

2004/03/28 by Lajos Diosi, Lajos Diósi · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.70.010302

published as Phys. Rev. A70 (2004) 10302-(2) · 2pp

arxiv created 2004/03/28 · openalex publication_date 2004/07/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We can uniquely calculate almost all entangled state vectors of tripartite systems ABC if we know the reduced states of any two bipartite subsystems, e.g., of AB and of BC. We construct the explicit solution.

Cited by

• Three-qubit W state tomography via full and marginal state reconstructions on ibm_osaka
• Large Parts are Generically Entangled Across All Cuts
• Tomographic characterization of three-qubit pure states with only two-qubit detectors
• Interpreting Multipartite Entanglement through Topological Summaries

Related

• A New Method of Classification of Pure Tripartite Quantum States
• Detection of genuine tripartite entanglement by two bipartite entangled states
• Quantum entanglement without eigenvalue spectra:multipartite case
• Multipartite entanglement
• Existence Criterion of Genuine Tripartite Entanglement