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arXiv 0705.2843quant-ph
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实在论违反了量子力学

Realism violates quantum mechanics

Koji Nagata

摘要:

最近,[{arXiv:0810.3134}]被接受并发表。我们证明了局域实在论以$3^N$的因子违反了$N$ -量子比特量子态的可分性。因此,当N=1时,我们有违反因子3。实在论违背了一个单量子比特(二维空间的状态)系统的命题,即量子力学的布洛赫球机制。我们的方法使用每个标量积的比率。当量子位数增加时,局部现实理论中标积的最大可能值呈指数级增长,大于$N$ -量子位可分离态中的一。当测量设置为每个本地观察者的整个设置范围时,我们找到了违反因子$3^N$。

英文摘要:

Recently, [{arXiv:0810.3134}] is accepted and published. We show that local realistic theories violate separability of $N$-qubit quantum states by a factor of $3^N$. Thus we have a violation factor of 3 when N=1. Realistic theories violate a proposition of a single qubit (a state with two-dimensional space) system, the Bloch sphere machinery of quantum mechanics. Our method uses the ratio of each of the scalar products. The maximal possible value of the scalar product in local realistic theories grows exponentially larger than one in $N$-qubit separable states when the number of qubits increases. We find the violation factor $3^N$ when the measurement setup is entire range of settings for each of the local observers.

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