bell_purification

Estimate the Bell state purification scheme performance and resource cost.

In this repo, we consider using the Deutsch protocol [1] for Bell state purification. We consider estimating the purification fidelity after $n$ nested successful purification rounds. The Bennett protocols [2] is similar to Deutsch protocol, which is simulated using enforcing the middle step purification states to be Warner states (haven't done it yet). More detailed information about nested purification can be found in Ref. [3].

References

[1] D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, "Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels", Phys. Rev. Lett. 77, 2818 (1996)

[2] 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", Phys. Rev. Lett. 76, 722 (1996)

[3] W. Dur and H. J. Briegel, "Entanglement purification and quantum error correction", Reports on Progress in Physics 70, 1381 (2007).

Copyright

Copyright (c) 2022, Chenxu Liu

Acknowledgements

Project based on the Computational Molecular Science Python Cookiecutter version 1.6.