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Uncertainty Relation Revisited from Quantum Estimation Theory
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quant-ph
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quantumerrorsestimationmeasurementobservablesrelationtheoryuncertainty
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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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