Purification of genuine multipartite entanglement

Abstract

In tasks, where multipartite entanglement plays a central role, state purification is, due to inevitable noise, a crucial part of the procedure. We consider a scenario exploiting the multipartite entanglement in a straightforward multipartite purification algorithm and compare it to bipartite purification procedures combined with state teleportation. While complete purification requires an infinite amount of input states in both cases, we show that for an imperfect output fidelity the multipartite procedure exhibits a major advantage in terms of input states used.

5 pages, 2 figures

References in corpus (25)

• Quantum entanglement
• Quantum secret sharing
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Entanglement detection
• Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
• Quantum entanglement in photosynthetic light harvesting complexes
• Graph States for Quantum Secret Sharing
• Taming multiparticle entanglement
• Entanglement purification and quantum error correction
• Separability criteria for genuine multiparticle entanglement
• Classification of multi-qubit mixed states: separability and distillability properties
• Detection of high-dimensional genuine multi-partite entanglement of mixed states
• Multi-Particle Entanglement Purification Protocols
• Multiparticle entanglement purification for graph states
• Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps
• Multiparticle entanglement purification for two-colorable graph states
• Partial separability and entanglement criteria for multiqubit quantum states
• Multipartite entanglement in quantum algorithms
• Entanglement purification protocols for all graph states
• Experimentally Feasible Security Check for n-qubit Quantum Secret Sharing
• Multipartite secret key distillation and bound entanglement
• Separability Criterion of Tripartite Qubit Systems
• Two computable sets of multipartite entanglement measures
• Optimal purification of thermal graph states
• Quantum communication cost of preparing multipartite entanglement

Cited by in corpus (14)

• Device-independent witnesses of genuine multipartite entanglement
• Activation of genuine multipartite entanglement: Beyond the single-copy paradigm of entanglement characterisation
• Layered Quantum Key Distribution
• Bipartite depolarizing channels
• Genuine multipartite entanglement of quantum states in the multiple-copy scenario
• Thresholds for the distributed surface code in the presence of memory decoherence
• Non-classical correlations in quantum mechanics and beyond
• Scalable & Noise-Robust Communication Advantage of Multipartite Quantum Entanglement
• Protocols for creating and distilling multipartite GHZ states with Bell pairs
• Multi-copy activation of genuine multipartite entanglement in continuous-variable systems
• Entanglement Superactivation in Multiphoton Distillation Networks
• Dynamics of entanglement among the environment oscillators of many-body systems
• Experimental verification of multi-copy activation of genuine multipartite entanglement
• Distillation of multipartite entangled states for arbitrary subsets of parties in noisy quantum networks of increasing size