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On the problem of contextuality in macroscopic magnetization measurements |
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| Authors: | Akihito Soeda Paweł Kurzyński Ravishankar Ramanathan Andrzej Grudka Jayne Thompson Dagomir Kaszlikowski |
| Institution: | 1. Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, Singapore;2. Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland;3. ARC Centre of Excellence for Particle Physics at the Terascale, School of Physics, The University of Melbourne, Melbourne, Victoria 3010, Australia;4. Department of Physics, National University of Singapore, 2 Science Drive 3, 117542 Singapore, Singapore |
| Abstract: | We show that sharp measurements of total magnetization cannot be used to reveal contextuality in macroscopic many-body systems of spins of arbitrary dimension. We decompose each such measurement into set of projectors corresponding to well-defined value of total magnetization. We then show that such sets of projectors are too restricted to construct Kochen–Specker sets. |
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