论文标题
误差和干扰的不确定性关系的普遍表述
A Universal Formulation of Uncertainty Relation for Error and Disturbance
论文作者
论文摘要
我们提出了不确定性关系的普遍表述,适用于任何可能的量子测量以及统计性质的结果观察(观察者)效应。由于其简单性和操作性的有形性,我们的一般关系也可以在实验上证明。我们的关系违反了传统的na {{} v bond bund bund $ \ hbar/2 $,以尊重海森伯格的不确定性原则的原始哲学,以实现位置测量。我们的错误扰动关系承认了我们与错误关系的平行表述,这也包含标准的肯纳德 - 罗伯逊(Schr {Ö} dinger)关系作为一种特殊情况;这达到了单个框架内的量子不确定性,测量和观察效应的三个正统领域的统一图片。
We present a universal formulation of uncertainty relation valid for any conceivable quantum measurement and the resultant observation (observer) effect of statistical nature. Owing to its simplicity and operational tangibility, our general relation is also experimentally verifiable. Our relation violates the traditional na{ï}ve bound $\hbar/2$ for the position-momentum measurement while respecting Heisenberg's original philosophy of the uncertainty principle. Our error-disturbance relation admits a parallel formulation to our relation for errors, which also embraces the standard Kennard--Robertson (Schr{ö}dinger) relation as a special case; this attains a unified picture of the three orthodox realms of uncertainty regarding quantum indeterminacy, measurement, and observation effect within a single framework.