2016/08/31 by Felix Huber, Otfried Gühne, Jens Siewert · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Cluster state #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum entanglement #Quantum mechanics #Quantum state #Quantum teleportation #Qubit #State (computer science) #W state #quant-ph
paper · pdf · doi:10.1103/physrevlett.118.200502
published as Phys. Rev. Lett. 118, 200502 (2017) · 6 pages, 2 figures, v3: final version
openalex publication_date 2017/05/17 · arxiv created 2017/05/18 · arxiv updated 2017/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Pure multiparticle quantum states are called absolutely maximally entangled if all reduced states obtained by tracing out at least half of the particles are maximally mixed. We provide a method to characterize these states for a general multiparticle system. With that, we prove that a seven-qubit state whose three-body marginals are all maximally mixed, or equivalently, a pure ((7,1,4))2 quantum error correcting code, does not exist. Furthermore, we obtain an upper limit on the possible number of maximally mixed three-body marginals and identify the state saturating the bound. This solves the seven-particle problem as the last open case concerning maximally entangled states of qubits.