arXiv 1005.32362010-05quant-ph

用弱测量检验贝尔不等式

Testing Bell inequalities with weak measurements

Shmuel Marcovitch, Benni Reznik

备注：: 5 pages, 3 figures

摘要：

量子理论与贝尔首先提出的任何局部隐变量模型都是不一致的。为了检验贝尔不等式，两个分离的观察者从相同系统的共同系综中提取相关性。由于量子理论不允许同时测量非对易观测量，因此在每个系统上，每一方都从给定的集合中随机选择一个观测量。在这里，我们提出了一个不同的方法来测试贝尔不等式，是实验上实现目前的方法。我们表明，贝尔不等式可以最大限度地违反，即使所有的观测测量的每个成员的合奏。这是可能的，通过使用产生小干扰的弱测量，以牺牲精度为代价。然而，我们的方法并不构成一个独立的测试量子非局域性，因为本地隐藏变量可能相关的测量仪器的噪声。然而，通过在每个弱测量周期结束时添加随机选择的精确测量，各方可以验证隐藏变量没有干扰噪声，从而验证建议的测试。

英文摘要：

Quantum theory is inconsistent with any local hidden variable model as was first shown by Bell. To test Bell inequalities two separated observers extract correlations from a common ensemble of identical systems. Since quantum theory does not allow simultaneous measurements of noncommuting observables, on each system every party measures a single randomly chosen observable out of a given set. Here we suggest a different approach for testing Bell inequalities that is experimentally realizable by current methods. We show that Bell inequalities can be maximally violated even when all observables are measured on each member of the ensemble. This is possible by using weak measurements that produce small disturbance, at the expense of accuracy. However, our approach does not constitute an independent test of quantum nonlocality since the local hidden variables may correlate the noise of the measurement instruments. Nevertheless, by adding a randomly chosen precise measurement at the end of every cycle of weak measurements, the parties can verify that the hidden variables were not interfering with the noise, and thus validate the suggested test.

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摘要：

英文摘要：

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