Optimized Entanglement Purification

Abstract

We investigate novel protocols for entanglement purification of qubit Bell pairs. Employing genetic algorithms for the design of the purification circuit, we obtain shorter circuits achieving higher success rates and better final fidelities than what is currently available in the literature. We provide a software tool for analytical and numerical study of the generated purification circuits, under customizable error models. These new purification protocols pave the way to practical implementations of modular quantum computers and quantum repeaters. Our approach is particularly attentive to the effects of finite resources and imperfect local operations - phenomena neglected in the usual asymptotic approach to the problem. The choice of the building blocks permitted in the construction of the circuits is based on a thorough enumeration of the local Clifford operations that act as permutations on the basis of Bell states.

References in corpus (9)

• Quantum Computing in the NISQ era and beyond
• An Elementary Quantum Network of Single Atoms in Optical Cavities
• Entanglement purification and quantum error correction
• Modular Entanglement of Atomic Qubits using both Photons and Phonons
• Topological quantum computing with a very noisy network and local error rates approaching one percent
• Demonstration of entanglement-by-measurement of solid state qubits
• A fast and robust approach to long-distance quantum communication with atomic ensembles
• Stable macroscopic quantum superpositions
• Freely Scalable Quantum Technologies using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links

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