Formulation of Uncertainty Relation by using Quantum Estimation Theory

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  • 量子推定理論による不確定性関係の定式化
  • リョウシ スイテイ リロン ニ ヨル フカクテイセイ カンケイ ノ ジョウシキカ

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Abstract

<p>We formulate error and disturbance in quantum measurement in terms of the classical Fisher information and the quantum Fisher information. The error formulated here characterizes the accuracy of the estimate of the expectation value of an observable. The disturbance characterizes the irreversibility of the measurement process. We show that the product of the error and disturbance is bounded from below by the commutator of the observables. We also find the attainable bound of the product.</p>

Journal

  • Butsuri

    Butsuri 71 (6), 372-376, 2016

    The Physical Society of Japan

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