Guaranteed emergence of genuine entanglement in 3-qubit evolving systems

Abstract

Multipartite entanglement has been shown to be of particular relevance for a better understanding and exploitation of the dynamics and flow of entanglement in multiparty systems. This calls for analysis aimed at identifying the appropriate processes that guarantee the emergence of multipartite entanglement in a wide range of scenarios. Here we carry on such analysis considering a system of two initially entangled qubits, one of which is let to interact with a third qubit according to an arbitrary unitary evolution. We establish necessary and sufficient conditions on the corresponding Kraus operators, to discern whether the evolved state pertains to either one of the classes of 3-qubit pure states that exhibit some kind of entanglement, namely biseparable, W-, and GHZ- genuine entangled classes. Our results provide a classification of the Kraus operators according to their capacity of producing 3-qubit entanglement, and pave the way for extending the analysis to larger systems and determining the particular interactions that must be implemented in order to create, enhance and distribute entanglement in a specific manner.

arXiv commentTwo new subsections included. Accepted for publication in The European Physical Journal D

References in corpus (19)

• Quantum entanglement
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Three qubits can be entangled in two inequivalent ways
• Quantum secret sharing
• Distributed Entanglement
• Entanglement detection
• Universal state inversion and concurrence in arbitrary dimensions
• Experimental Demonstration of Five-photon Entanglement and Open-destination Teleportation
• Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
• Open-System Dynamics of Entanglement
• Testing the Structure of Multipartite Entanglement with Bell Inequalities
• Tri-partite Entanglement Witnesses and Sudden Death
• Experimental entanglement redistribution under decoherence channels
• Flow of Quantum Correlations from a Two-Qubit System to its Environment
• Identification of three-qubit entanglement
• Experimental investigation of dynamical invariants in bipartite entanglement
• New Bell inequalities for three-qubit pure states
• Distinguishing different classes of entanglement of three-qubit pure states
• Modeling Tripartite Entanglement in Quantum Protocols using Evolving Entangled Hypergraphs