Optimal Trade-Off: Information Gain vs Distortion Loss In Finite-Dimensional Quantum Systems

Details Optimal Trade-Off: Information Gain vs Distortion Loss In Finite-Dimensional Quantum Systems Optimal Trade-Off: Information Gain vs Distortion Loss In Finite-Dimensional Quantum Systems

2006-02-09

arxiv.org/abs/quant-ph/0602086v1

Physics

Quantum Physics

Master's Thesis, 84 pages

Scientific paper

In this thesis, I reflect on quantum instruments that measure the state of pure finite dimensional quantum systems. As the Heisenberg principle dictates, there exists a joint restriction to the information gain and distortion by measurement of a quantum system. I minimize the distortion of measurement and maximize the quality of the outcome by finding the optimal (covariant) instrument. In order to optimize this joint restriction, the family of covariant instruments is classified. This is an important side result.

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