title: Demonstrating quantum contextuality of indistinguishable particles by a single family of noncontextuality inequalities.
abstract: Quantum theory has the intriguing feature that is inconsistent with noncontextual hidden variable models, for which the outcome of a measurement does not depend on which other compatible measurements are being performed concurrently. While various proofs of such contextual behavior of quantum systems have been established, relatively little is known concerning the possibility to demonstrate this intriguing feature for indistinguishable particles. Here, we show in a simple and systematic manner that with projective measurements alone, it is possible to demonstrate quantum contextuality for such systems of arbitrary Hilbert space dimensions, including those corresponding to a qubit. Our demonstration is applicable to a single fermion as well as multiple fermions, and thus also a composite boson formed from an even number of fermions. In addition, our approach gives a clear demonstration of the intimate connection between complementarity and contextuality, two seemingly unrelated aspects of quantum theory.
authors.affiliation: Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China.
authors.forename: Hong-Yi
authors.initials: HY
authors.lastname: Su
authors.affiliation: 1] Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China [2] Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543.
authors.forename: Jing-Ling
authors.initials: JL
authors.lastname: Chen
authors.affiliation: Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland.
authors.forename: Yeong-Cherng
authors.initials: YC
authors.lastname: Liang