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BBPSSW Entanglement Purification Protocol for QuantumSavory.jl (#137) #243

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@idriss-hamadi

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@idriss-hamadi

I propose implementing the BBPSSW entanglement purification protocol [1] in QuantumSavory.jl’s ProtocolZoo to address issue #137 [2].

The BBPSSW protocol purifies noisy Bell pairs using local CNOT gates, Z-basis measurements, and classical communication, retaining one higher-fidelity pair when measurements match. It enhances QuantumSavory’s simulation capabilities by improving entanglement fidelity, enabling robust quantum communication for applications like teleportation and QKD, and supporting repeater chains for research and education.

The implementation will include comprehensive tests and documentation, integrating with protocols like EntanglerProt and SwapperProt. Please advise on next steps to proceed with issue #137.

References:
[1] C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, "Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels," Physical Review Letters, vol. 76, no. 5, pp. 722–725, Jan. 1996.

[2] QuantumSavory/QuantumSavory.jl, Issue #137.

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