State-dependent approach to entropic measurement-disturbance relations

State-dependent approach to entropic measurement-disturbance relations
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DOI:
10.1016/j.physleta.2014.11.002
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发表时间:
2015-01-23
期刊:
影响因子:
2.6
通讯作者:
Furter, Fabian
Furter, Fabian
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Coles, Patrick J.;Furter, Fabian

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海森伯格的直觉是,应该在更精确地测量粒子的位置和干扰其动量之间进行权衡。最近关于这一概念的表述集中在两个互补的可观量能被联合测量得多好的问题上。在这里,我们提供了一种替代方法,基于增强一个可观测对象的可预测性必然会干扰另一个可观测对象。我们的测量-扰动关系指的是一个清晰的操作场景,并由具有明确统计意义的熵量来表示。我们表明,在现有的包含量子比特测量的实验装置中,我们的关系对于所有的测量强度都是非常紧密的。(C)2014爱思唯尔B.V.保留所有权利。
Heisenberg's intuition was that there should be a trade-off between measuring a particle's position with greater precision and disturbing its momentum. Recent formulations of this idea have focused on the question of how well two complementary observables can be jointly measured. Here, we provide an alternative approach based on how enhancing the predictability of one observable necessarily disturbs a complementary one. Our measurement-disturbance relation refers to a clear operational scenario and is expressed by entropic quantities with clear statistical meaning. We show that our relation is perfectly tight for all measurement strengths in an existing experimental setup involving qubit measurements. (C) 2014 Elsevier B.V. All rights reserved.