Quantum cloning

Quantum cloning

Quantum cloning is the process that takes an arbitrary, unknown quantum state and makes an exact copy without altering the original state in any way. In Dirac notation, the process of quantum cloning is described by::U |psi angle_A |e angle_B = |psi angle_A |psi angle_B,where U is the actual cloning operation, |psi angle_A is the state to be cloned, and |e angle_B is the initial state of the copy.

Quantum cloning is forbidden by the laws of quantum mechanics as shown by the no cloning theorem, which proves that there is no U that can perform the cloning operation for any arbitrary state |psi angle_A. Though perfect quantum cloning is not possible, it is possible to perform imperfect cloning, where the copies have a non-unit fidelity with the state being cloned.

References

* V. Buzek and M. Hillery, "Quantum cloning," Physics World 14 (11) (2001), pp. 25-29.

* [http://xstructure.inr.ac.ru/x-bin/theme2.py?arxiv=quant-ph&level=1&index1=1056 Quantum cloning on arxiv.org]

ee also

* Quantum no-deleting theorem


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