Contextuality Can be Verified with Noncontextual Experiments
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909410243117056 |
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| author | Thio, Jonathan J. Salmon, Wilfred Barnes, Crispin H. W. De Bièvre, Stephan Arvidsson-Shukur, David R. M. |
| author_facet | Thio, Jonathan J. Salmon, Wilfred Barnes, Crispin H. W. De Bièvre, Stephan Arvidsson-Shukur, David R. M. |
| contents | We uncover new features of generalized contextuality by connecting it to the Kirkwood-Dirac (KD) quasiprobability distribution. Quantum states can be represented by KD distributions, which take values in the complex unit disc. Only for ``KD-positive'' states are the KD distributions joint probability distributions. A KD distribution can be measured by a series of weak and projective measurements. We design such an experiment and show that it is contextual iff the underlying state is not KD-positive. We analyze this connection with respect to mixed KD-positive states that cannot be decomposed as convex combinations of pure KD-positive states. Our result is the construction of a noncontextual experiment that enables an experimenter to verify contextuality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00199 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Contextuality Can be Verified with Noncontextual Experiments Thio, Jonathan J. Salmon, Wilfred Barnes, Crispin H. W. De Bièvre, Stephan Arvidsson-Shukur, David R. M. Quantum Physics We uncover new features of generalized contextuality by connecting it to the Kirkwood-Dirac (KD) quasiprobability distribution. Quantum states can be represented by KD distributions, which take values in the complex unit disc. Only for ``KD-positive'' states are the KD distributions joint probability distributions. A KD distribution can be measured by a series of weak and projective measurements. We design such an experiment and show that it is contextual iff the underlying state is not KD-positive. We analyze this connection with respect to mixed KD-positive states that cannot be decomposed as convex combinations of pure KD-positive states. Our result is the construction of a noncontextual experiment that enables an experimenter to verify contextuality. |
| title | Contextuality Can be Verified with Noncontextual Experiments |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.00199 |