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Purification to locally maximally entangleable states

2012/08/13 by T. Carle, Tatjana Carle, Barbara Kraus +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics #Computer science #Discrete mathematics #Mathematics #Multipartite #Multipartite entanglement #Physics #Protocol (science) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum mechanics #Quantum state #Qubit #Set (abstract data type) #Squashed entanglement #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1103/physreva.87.012328

published as Phys. Rev. A 87, 012328 (2013)

arxiv created 2012/08/13 · openalex publication_date 2013/01/25 · arxiv updated 2013/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Locally maximally entangleable states (LMESs) constitute a large set of multipartite states, containing, for instance, all stabilizer states. LMESs are uniquely characterized by (2n\ensuremath-1) phases, where n denotes the number of qubits. We consider here those LMESs whose phases are either 0 or \ensuremathπ and present a multipartite entanglement purification protocol for arbitrary such states. In contrast to all previously known recurrence protocols, this protocol uses a different ingredient, which is required due to the quantum correlations contained in the various LMESs. We compare this scheme to previously known entanglement purification protocols and show that the direct purification performs better than previously known protocols.

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