Efficient quantum repeater in perspectives of both entanglement concentration rate and LOCC complexity

Abstract

Quantum entanglement is an indispensable resource for many significant quantum information processing tasks. However, because of the noise in quantum channels, it is difficult to distribute quantum entanglement over a long distance in practice. A solution for this challenge is the quantum repeater which can extend the distance of entanglement distribution. In this scheme, the time consumption of classical communication and local operations takes an important place in perspective of time efficiency. Motivated by this observation, we exploit the basic quantum repeater scheme in perspectives of not only the optimal rate of entanglement concentration but also the complexity of local operations and classical communication. Firstly, we consider the case where two two-qubit pure states are prepared. We construct a protocol with the optimal entanglement concentration rate and less consumption of local operations and classical communication. We also find a criteria for the projective measurements to achieve the optimal probability. Secondly, we exploit the case where two general pure states are prepared and general measurements are considered. We get an upper bound on the probability for a successful measurement operation to produce a maximally entangled state without any further local operations.

References in corpus (23)

• Long-distance quantum communication with atomic ensembles and linear optics
• Concentrating Partial Entanglement by Local Operations
• Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
• A Multiparticle Generalization of Entanglement Swapping
• Generation of Nonclassical Photon Pairs for Scalable Quantum Communication with Atomic Ensembles
• Fundamental rate-loss tradeoff for optical quantum key distribution
• Entanglement of pure states for a single copy
• Experimental Realization of Entanglement Concentration and A Quantum Repeater
• Optimal entanglement purifying via entanglement swapping
• Converse bounds for private communication over quantum channels
• Quantum entanglement swapping between two multipartite entangled states
• A Hybrid Long-Distance Entanglement Distribution Protocol
• Entanglement Distribution in Pure-State Quantum Networks
• Quantum Repeaters Using Continuous Variable Teleportation
• Entanglement swapping of noisy states: A kind of superadditivity in nonclassicality
• Entanglement Swapping Chains for General Pure States
• Long-distance practical quantum key distribution by entanglement swapping
• Geometry of quantum states: new construction of positive maps
• Unconstrained Capacities of Quantum Key Distribution and Entanglement Distillation for Pure-Loss Bosonic Broadcast Channels
• Catalyst-assisted Probabilistic Entanglement Transformation
• Optimal dense coding with arbitrary pure entangled states
• Quantum Communication and Computing With Atomic Ensembles Using Light-Shift Imbalance Induced Blockade
• Entanglement transformation with no classical communication

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