State-independent contextuality with identical particles

Abstract

It has been recently conjectured that the state-independency of quantum contextuality may be lost when the indistinguishability of identical particles is taken into account. Here, we show that quantum state-independent contextuality exists for any system of more than one identical bosonic qudits, and for most systems of fermionic qudits. The only exception is the case of d fermionic qudits, since there the dimension of the antisymmetric subspace is 1, which is insufficient for contextuality. For all the other cases, either the symmetry precludes the existence of physical states, or we provide an explicit method to produce quantum state-independent contextual correlations.

REVTeX4, 5 pages

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Cited by in corpus (8)

• The SIC Question: History and State of Play
• Proofs of the Kochen-Specker theorem based on the N-qubit Pauli group
• Contextuality of Identical Particles
• Demonstrating quantum contextuality of indistinguishable particles by a single family of noncontextuality inequalities
• Quantum correlations expressed as information and entropic inequalities for composite and noncomposite systems
• Bosonic Indistinguishability-Dependent Contextuality
• Comment on "Contextuality in Bosonic Bunching"
• Contextuality and nonlocality of indistinguishable particles