Quantum entanglement and contextuality with complexifications of E 8 root system

The work introduces a new quantum configuration with 120 states derived from complexifying 240 minimal vectors of an E8 real lattice, analogous to the earlier Witting configuration. Both configurations stem from the E8 root system. The analysis uses analogies with the Witting setup to explore nonlocality and contextuality in quantum mechanics, suggesting alternative measurement schemes.

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