Uncertainty Relation Revisited from Quantum Estimation Theory

Physics – Quantum Physics

Scientific paper

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manuscript including 4 pages and 2 figures

Scientific paper

By invoking quantum estimation theory we formulate bounds of errors in
quantum measurement for arbitrary quantum states and observables in a
finite-dimensional Hilbert space. We prove that the measurement errors of two
observables satisfy Heisenberg's uncertainty relation, find the attainable
bound, and provide a strategy to achieve it.

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