Smooth Metric Adjusted Skew Information Rates
Metric adjusted skew information, induced from quantum Fisher information, is a well-known family of resource measures in the resource theory of asymmetry. However, its asymptotic rates are not valid asymmetry monotone since it has an asymptotic discontinuity. We here introduce a new class of asymme...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-05-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2023-05-22-1012/pdf/ |
| _version_ | 1797822292067090432 |
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| author | Koji Yamaguchi Hiroyasu Tajima |
| author_facet | Koji Yamaguchi Hiroyasu Tajima |
| author_sort | Koji Yamaguchi |
| collection | DOAJ |
| description | Metric adjusted skew information, induced from quantum Fisher information, is a well-known family of resource measures in the resource theory of asymmetry. However, its asymptotic rates are not valid asymmetry monotone since it has an asymptotic discontinuity. We here introduce a new class of asymmetry measures with the smoothing technique, which we term smooth metric adjusted skew information. We prove that its asymptotic sup- and inf-rates are valid asymptotic measures in the resource theory of asymmetry. Furthermore, it is proven that the smooth metric adjusted skew information rates provide a lower bound for the coherence cost and an upper bound for the distillable coherence. |
| first_indexed | 2024-03-13T10:05:48Z |
| format | Article |
| id | doaj.art-cefbdefa5fc442158ad377c4aeb5983d |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-03-13T10:05:48Z |
| publishDate | 2023-05-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-cefbdefa5fc442158ad377c4aeb5983d2023-05-22T13:45:29ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-05-017101210.22331/q-2023-05-22-101210.22331/q-2023-05-22-1012Smooth Metric Adjusted Skew Information RatesKoji YamaguchiHiroyasu TajimaMetric adjusted skew information, induced from quantum Fisher information, is a well-known family of resource measures in the resource theory of asymmetry. However, its asymptotic rates are not valid asymmetry monotone since it has an asymptotic discontinuity. We here introduce a new class of asymmetry measures with the smoothing technique, which we term smooth metric adjusted skew information. We prove that its asymptotic sup- and inf-rates are valid asymptotic measures in the resource theory of asymmetry. Furthermore, it is proven that the smooth metric adjusted skew information rates provide a lower bound for the coherence cost and an upper bound for the distillable coherence.https://quantum-journal.org/papers/q-2023-05-22-1012/pdf/ |
| spellingShingle | Koji Yamaguchi Hiroyasu Tajima Smooth Metric Adjusted Skew Information Rates Quantum |
| title | Smooth Metric Adjusted Skew Information Rates |
| title_full | Smooth Metric Adjusted Skew Information Rates |
| title_fullStr | Smooth Metric Adjusted Skew Information Rates |
| title_full_unstemmed | Smooth Metric Adjusted Skew Information Rates |
| title_short | Smooth Metric Adjusted Skew Information Rates |
| title_sort | smooth metric adjusted skew information rates |
| url | https://quantum-journal.org/papers/q-2023-05-22-1012/pdf/ |
| work_keys_str_mv | AT kojiyamaguchi smoothmetricadjustedskewinformationrates AT hiroyasutajima smoothmetricadjustedskewinformationrates |