Realism violates quantum mechanics

TL;DR

This paper demonstrates that local realistic theories significantly violate quantum separability in N-qubit states, with the violation factor growing exponentially as 3^N, challenging the compatibility of realism with quantum mechanics.

Contribution

It introduces a method to quantify the violation of quantum separability by local realistic theories, revealing an exponential growth in violation factor with the number of qubits.

Findings

Violation factor of 3 for N=1 qubit.

Exponential increase in violation factor as 3^N with more qubits.

Local realistic theories conflict with quantum separability principles.

Abstract

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.