A review of optimal cloning of pure quantum states

Bachelor thesis (2019)

Authors

S. van Poelgeest Applied Sciences

Contributors

B. Janssens Analysis - EEMCS (supervisor 1)
D. Elkouss Coronas Quantum Information and Software - EEMCS (supervisor 1)
Cornelis Vuik Numerical Analysis - EEMCS (supervisor 2)
M. Blaauboer QN/Blaauboer Group - AS (supervisor 2)
Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright: © 2019 Sam van Poelgeest
Physics Analysis Quantum Cloning Pure state
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Published Date

23-07-2019

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

In this project, quantum cloning machines are analyzed that take in N quantum systems in the same unknown pure state and output M quantum systems with M > N, such that the output best resembles the ideal, but impossible output of an M-fold tensor product of the pure input state. The proof of Keyl and Werner is reviewed in which a unique optimal solution is constructed, both in the case where the quality of the cloning is determined by the entire output, and in the case where the quality is determined by measurements on a single clone. Furthermore, it is shown that previous work on qubit cloning machines is a special case of the presented optimal solution.