Multiple uncertainty relation for accelerated quantum information
The uncertainty principle, first introduced by Heisenberg in inertial frames, clearly distinguishes quantum theories from classical mechanics. In non-inertial frames, its information-theoretic expressions, namely entropic uncertainty relations, have been extensively studied through delocalized quant...
| Main Authors: | , , , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/145461 |
| _version_ | 1811685435604205568 |
|---|---|
| author | Qian, Chen Wu, Ya-Dong Ji, Jia-Wei Xiao, Yunlong Sanders, Barry C. |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Qian, Chen Wu, Ya-Dong Ji, Jia-Wei Xiao, Yunlong Sanders, Barry C. |
| author_sort | Qian, Chen |
| collection | NTU |
| description | The uncertainty principle, first introduced by Heisenberg in inertial frames, clearly distinguishes quantum theories from classical mechanics. In non-inertial frames, its information-theoretic expressions, namely entropic uncertainty relations, have been extensively studied through delocalized quantum fields, and localization of the quantum fields were discussed as well. However, infeasibility of measurements applied on a delocalized quantum field due to the finite size of measurement apparatuses is left unexplained. Therefore, physical clarification of a quantum protocol revealing entropic uncertainty relations still needs investigation. Building on advances in quantum field theories and theoretical developments in entropic uncertainty relations, we demonstrate a relativistic protocol of an uncertainty game in the presence of localized fermionic quantum fields inside cavities. Moreover, a novel lower bound for entropic uncertainty relations with multiple quantum memories is given in terms of the Holevo quantity, which implies how acceleration affects uncertainty relations. |
| first_indexed | 2024-10-01T04:44:29Z |
| format | Journal Article |
| id | ntu-10356/145461 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:44:29Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1454612023-02-28T19:27:23Z Multiple uncertainty relation for accelerated quantum information Qian, Chen Wu, Ya-Dong Ji, Jia-Wei Xiao, Yunlong Sanders, Barry C. School of Physical and Mathematical Sciences Nanyang Quantum Hub Complexity Institute Science::Physics Quantum Information Noninertial Frames The uncertainty principle, first introduced by Heisenberg in inertial frames, clearly distinguishes quantum theories from classical mechanics. In non-inertial frames, its information-theoretic expressions, namely entropic uncertainty relations, have been extensively studied through delocalized quantum fields, and localization of the quantum fields were discussed as well. However, infeasibility of measurements applied on a delocalized quantum field due to the finite size of measurement apparatuses is left unexplained. Therefore, physical clarification of a quantum protocol revealing entropic uncertainty relations still needs investigation. Building on advances in quantum field theories and theoretical developments in entropic uncertainty relations, we demonstrate a relativistic protocol of an uncertainty game in the presence of localized fermionic quantum fields inside cavities. Moreover, a novel lower bound for entropic uncertainty relations with multiple quantum memories is given in terms of the Holevo quantity, which implies how acceleration affects uncertainty relations. Ministry of Education (MOE) National Research Foundation (NRF) Published version We thank Nicolai Friis and Robert B. Mann for useful discussions and comments. B. C. S. and C. Q. are supported by the National Natural Science Foundation of China (NSFC) with Grant No. 11675164. B. C. S., Y. D. W.,J. W. J. and Y. X. are supported by the Natural Sciences and Engineering Research Council of Canada (NSERC).Y. D. W. acknowledges support from the Hong Kong Research Grant Council through Grant No. 17300918.Y. X. is supported by the National Research Foundation (NRF). Singapore, under its NRFF Fellow programme (Grant No. NRF-NRFF2016-02), Singapore Ministry of Education Tier 1 Grants No. MOE2017-T1-002-043 andNo FQXi-RFP-1809 from the Foundational QuestionsInstitute and Fetzer Franklin Fund (a donor-advised fund of Silicon Valley Community Foundation). Any opinions,findings and conclusions or recommendations expressed inthis material are those of the author(s) and do not reflect the views of National Research Foundation, Singapore. 2020-12-22T06:09:36Z 2020-12-22T06:09:36Z 2020 Journal Article Qian, C., Wu, Y.-D., Ji, J.-W., Xiao, Y., & Sanders, B. C. (2020). Multiple uncertainty relation for accelerated quantum information. Physical Review D, 102(9), 096009-. doi:10.1103/PhysRevD.102.096009 2470-0010 https://hdl.handle.net/10356/145461 10.1103/PhysRevD.102.096009 9 102 en NRF-NRFF2016-02 MOE2017-T1-002-043 Physical Review D © 2020 American Physical Society. All rights reserved. This paper was published in Physical Review D and is made available with permission of American Physical Society. application/pdf |
| spellingShingle | Science::Physics Quantum Information Noninertial Frames Qian, Chen Wu, Ya-Dong Ji, Jia-Wei Xiao, Yunlong Sanders, Barry C. Multiple uncertainty relation for accelerated quantum information |
| title | Multiple uncertainty relation for accelerated quantum information |
| title_full | Multiple uncertainty relation for accelerated quantum information |
| title_fullStr | Multiple uncertainty relation for accelerated quantum information |
| title_full_unstemmed | Multiple uncertainty relation for accelerated quantum information |
| title_short | Multiple uncertainty relation for accelerated quantum information |
| title_sort | multiple uncertainty relation for accelerated quantum information |
| topic | Science::Physics Quantum Information Noninertial Frames |
| url | https://hdl.handle.net/10356/145461 |
| work_keys_str_mv | AT qianchen multipleuncertaintyrelationforacceleratedquantuminformation AT wuyadong multipleuncertaintyrelationforacceleratedquantuminformation AT jijiawei multipleuncertaintyrelationforacceleratedquantuminformation AT xiaoyunlong multipleuncertaintyrelationforacceleratedquantuminformation AT sandersbarryc multipleuncertaintyrelationforacceleratedquantuminformation |