Disturbance-based measure of macroscopic coherence
We propose a measure of macroscopic coherence based on the degree of disturbance caused by a coarse-grained measurement. Based on our measure, we point out that recently proposed criteria of macroscopic coherence may lead to inconsistent results when considering certain states such as a product of m...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa68f5 |
| _version_ | 1827873524160659456 |
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| author | Hyukjoon Kwon Chae-Yeun Park Kok Chuan Tan Hyunseok Jeong |
| author_facet | Hyukjoon Kwon Chae-Yeun Park Kok Chuan Tan Hyunseok Jeong |
| author_sort | Hyukjoon Kwon |
| collection | DOAJ |
| description | We propose a measure of macroscopic coherence based on the degree of disturbance caused by a coarse-grained measurement. Based on our measure, we point out that recently proposed criteria of macroscopic coherence may lead to inconsistent results when considering certain states such as a product of microscopic superpositions. An inequality relation is proved that relates the Wigner–Yanase–Dyson skew information and the measurement disturbance, providing arguments as to why our approach is able to rule out such inconsistencies. We show that our measure can also quantify the fragility of a quantum state to a certain type of decoherence. Our work provides a general framework of quantifying macroscopic coherence from an operational point of view, based on the relationship between the precision of the measurement and disturbance of the quantum state. |
| first_indexed | 2024-03-12T16:38:20Z |
| format | Article |
| id | doaj.art-34a5521cbbf644e588c1e9434478249b |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:38:20Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-34a5521cbbf644e588c1e9434478249b2023-08-08T14:38:31ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119404302410.1088/1367-2630/aa68f5Disturbance-based measure of macroscopic coherenceHyukjoon Kwon0Chae-Yeun Park1Kok Chuan Tan2Hyunseok Jeong3Center for Macroscopic Quantum Control, Department of Physics and Astronomy, Seoul National University , Seoul, 151-742, Republic of KoreaCenter for Macroscopic Quantum Control, Department of Physics and Astronomy, Seoul National University , Seoul, 151-742, Republic of KoreaCenter for Macroscopic Quantum Control, Department of Physics and Astronomy, Seoul National University , Seoul, 151-742, Republic of KoreaCenter for Macroscopic Quantum Control, Department of Physics and Astronomy, Seoul National University , Seoul, 151-742, Republic of KoreaWe propose a measure of macroscopic coherence based on the degree of disturbance caused by a coarse-grained measurement. Based on our measure, we point out that recently proposed criteria of macroscopic coherence may lead to inconsistent results when considering certain states such as a product of microscopic superpositions. An inequality relation is proved that relates the Wigner–Yanase–Dyson skew information and the measurement disturbance, providing arguments as to why our approach is able to rule out such inconsistencies. We show that our measure can also quantify the fragility of a quantum state to a certain type of decoherence. Our work provides a general framework of quantifying macroscopic coherence from an operational point of view, based on the relationship between the precision of the measurement and disturbance of the quantum state.https://doi.org/10.1088/1367-2630/aa68f5quantum coherencequantum macroscopicitycoarse-grained measurement03.65.Ta03.65.Yz03.67.-a |
| spellingShingle | Hyukjoon Kwon Chae-Yeun Park Kok Chuan Tan Hyunseok Jeong Disturbance-based measure of macroscopic coherence New Journal of Physics quantum coherence quantum macroscopicity coarse-grained measurement 03.65.Ta 03.65.Yz 03.67.-a |
| title | Disturbance-based measure of macroscopic coherence |
| title_full | Disturbance-based measure of macroscopic coherence |
| title_fullStr | Disturbance-based measure of macroscopic coherence |
| title_full_unstemmed | Disturbance-based measure of macroscopic coherence |
| title_short | Disturbance-based measure of macroscopic coherence |
| title_sort | disturbance based measure of macroscopic coherence |
| topic | quantum coherence quantum macroscopicity coarse-grained measurement 03.65.Ta 03.65.Yz 03.67.-a |
| url | https://doi.org/10.1088/1367-2630/aa68f5 |
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