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arXiv 0909.0295quant-ph
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量子弱值不是唯一的;它们实际上测量什么?

Quantum weak values are not unique; what do they actually measure?

Stephen Parrott

摘要:

精确的定义“弱[量子]测量”和“弱值”[量子观察],这似乎捕捉的含义往往模糊的方式,这些术语在文献中使用。简单的有限维的例子表明,弱值的观察是不是唯一的,实际上,任意弱值可以通过适当的弱测量。这意味着,一个可观测值A的“弱值”* 本身 * 不能提供关于A的明确信息;弱值中的任何信息都与用于获得该弱值的特定测量程序密不可分。此外,任意弱值可以使用尺寸小至2的“米空间”来获得。“备注”部分质疑“弱测量”的效用。

英文摘要:

Precise definitions of "weak [quantum] measurements" and "weak value" [of a quantum observable] are offered, which seem to capture the meaning of the often vague ways that these terms are used in the literature. Simple finite dimensional examples are given showing that weak values of an observable are not unique, and in fact arbitrary weak values can be obtained by appropriate weak measurements. This implies that a "weak value" of an observable A, *by itself*, can furnish no unambiguous information about A; any information in a weak value is inextricably connected with the particular measurement procedure used to obtain that weak value. Moreover, arbitrary weak values can be obtained using a "meter space" of dimension as small as 2. A "Remarks" section questions the utility of "weak measurement".

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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