No-go theorem for norm-based quantumness-certification with linear functionals
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917111449780224 |
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| author | Bose, Soumyakanti Teo, Yong-Siah Kwon, Hyukjoon Jeong, Hyunseok |
| author_facet | Bose, Soumyakanti Teo, Yong-Siah Kwon, Hyukjoon Jeong, Hyunseok |
| contents | Despite several approaches proposed to operationally characterize quantum states of light-those that cannot be sampled with a positive distribution over classical states-most existing formulations suffer from limited practicality or rely on convex optimization procedures that are computationally demanding. In this work, we develop a general convex resource-theoretic framework to quantify optical quantumness directly from the norms of linear functionals of quantum states, thereby avoiding any optimization. We further establish a no-go theorem demonstrating that no universal measure of quantumness can exist in the absence of optimization. Finally, we substantiate our theoretical result through explicit examples involving both Gaussian and non-Gaussian states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22992 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | No-go theorem for norm-based quantumness-certification with linear functionals Bose, Soumyakanti Teo, Yong-Siah Kwon, Hyukjoon Jeong, Hyunseok Quantum Physics Despite several approaches proposed to operationally characterize quantum states of light-those that cannot be sampled with a positive distribution over classical states-most existing formulations suffer from limited practicality or rely on convex optimization procedures that are computationally demanding. In this work, we develop a general convex resource-theoretic framework to quantify optical quantumness directly from the norms of linear functionals of quantum states, thereby avoiding any optimization. We further establish a no-go theorem demonstrating that no universal measure of quantumness can exist in the absence of optimization. Finally, we substantiate our theoretical result through explicit examples involving both Gaussian and non-Gaussian states. |
| title | No-go theorem for norm-based quantumness-certification with linear functionals |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.22992 |