Realism violates quantum mechanics

Details Realism violates quantum mechanics Realism violates quantum mechanics

2007-05-20

arxiv.org/abs/0705.2843v6

Physics

Quantum Physics

Journal of the Physical Society of Japan, (2008), (accepted for publication)

Scientific paper

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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