论文标题

多少次运行确保传送实验中的量子保真度?

How many runs ensure quantum fidelity in teleportation experiment?

论文作者

Kumar, C S Sudheer, Sen, Ujjwal

论文摘要

大数字的强烈定律断言,实验获得的平均值,在实验的重复数量的限制中,几乎可以肯定地收敛于理论预测,这些预测基于先验假定的随机事件概率的恒定值。因此,在大多数理论计算中,我们暗中忽略了均值的波动。但是,实际上,我们可以仅有限地重复多次实验,因此不可避免地波动,并可能导致错误的判断。从理论上讲,使用单位保真度使用纠缠不明的量子状态可以传送未知的量子状态。但是,实验实现的值是子单元,并且通常是显着的。我们表明,当实验的重复数量很少时,实验实验实现了一个亚单位的概率很大,从而实现了量子传送保真度,该量子传送忠诚度使用纠缠,甚至是经典的,即不使用纠缠。我们进一步表明,只有当实验的重复数量达到数千个阶段时,经典的传送过程的可能性才能达到当前实现的实验量子遗传忠诚度,因此确保实验获得的忠诚度是由于真实地使用了共享的昆虫。

The strong law of large numbers asserts that experimentally obtained mean values, in the limit of number of repetitions of the experiment going to infinity, converges almost surely to the theoretical predictions which are based on a priori assumed constant values for probabilities of the random events. Hence in most theoretical calculations, we implicitly neglect fluctuations around the mean. However in practice, we can repeat the experiment only finitely many times, and hence fluctuations are inevitable, and may lead to erroneous judgments. It is theoretically possible to teleport an unknown quantum state, using entanglement, with unit fidelity. The experimentally achieved values are however sub-unit, and often, significantly so. We show that when the number of repetitions of the experiment is small, there is significant probability of achieving a sub-unit experimentally achieved quantum teleportation fidelity that uses entanglement, even classically, i.e., without using entanglement. We further show that only when the number of repetitions of the experiment is of the order of a few thousands, the probability of a classical teleportation process to reach the currently achieved experimental quantum teleportation fidelities becomes negligibly small, and hence ensure that the experimentally obtained fidelities are due to genuine use of the shared entanglements.

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