Preserving information from the beginning to the end of time in a Robertson–Walker spacetime
Preserving information stored in a physical system subjected to noise can be modeled in a communication-theoretic paradigm, in which storage and retrieval correspond to an input encoding and output decoding, respectively. The encoding and decoding are then constructed in such a way as to protect aga...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2014-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/12/123049 |
| _version_ | 1797751440694837248 |
|---|---|
| author | Stefano Mancini Roberto Pierini Mark M Wilde |
| author_facet | Stefano Mancini Roberto Pierini Mark M Wilde |
| author_sort | Stefano Mancini |
| collection | DOAJ |
| description | Preserving information stored in a physical system subjected to noise can be modeled in a communication-theoretic paradigm, in which storage and retrieval correspond to an input encoding and output decoding, respectively. The encoding and decoding are then constructed in such a way as to protect against the action of a given noisy quantum channel. This paper considers the situation in which the noise is not due to technological imperfections, but rather to the physical laws governing the evolution of the Universe. In particular, we consider the dynamics of quantum systems under a 1 + 1 Robertson–Walker spacetime and find that the noise imparted to them is equivalent to the well known amplitude damping channel. Since one might be interested in preserving both classical and quantum information in such a scenario, we study trade-off coding strategies and determine a region of achievable rates for the preservation of both kinds of information. For applications beyond the physical setting studied here, we also determine a trade-off between achievable rates of classical and quantum information preservation when entanglement assistance is available. |
| first_indexed | 2024-03-12T16:48:33Z |
| format | Article |
| id | doaj.art-5fccb563f93642d09cc773a913648238 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:48:33Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-5fccb563f93642d09cc773a9136482382023-08-08T11:26:06ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161212304910.1088/1367-2630/16/12/123049Preserving information from the beginning to the end of time in a Robertson–Walker spacetimeStefano Mancini0Roberto Pierini1Mark M Wilde2School of Science and Technology, University of Camerino , I-62032 Camerino, Italy; INFN Sezione di Perugia, I-06123 Perugia, ItalySchool of Science and Technology, University of Camerino , I-62032 Camerino, Italy; INFN Sezione di Perugia, I-06123 Perugia, ItalyHearne Institute for Theoretical Physics , Department of Physics and Astronomy, Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USAPreserving information stored in a physical system subjected to noise can be modeled in a communication-theoretic paradigm, in which storage and retrieval correspond to an input encoding and output decoding, respectively. The encoding and decoding are then constructed in such a way as to protect against the action of a given noisy quantum channel. This paper considers the situation in which the noise is not due to technological imperfections, but rather to the physical laws governing the evolution of the Universe. In particular, we consider the dynamics of quantum systems under a 1 + 1 Robertson–Walker spacetime and find that the noise imparted to them is equivalent to the well known amplitude damping channel. Since one might be interested in preserving both classical and quantum information in such a scenario, we study trade-off coding strategies and determine a region of achievable rates for the preservation of both kinds of information. For applications beyond the physical setting studied here, we also determine a trade-off between achievable rates of classical and quantum information preservation when entanglement assistance is available.https://doi.org/10.1088/1367-2630/16/12/123049quantum fields in curved spacetimequantum communicationtrade-off coding04.62.+v03.67.Hk |
| spellingShingle | Stefano Mancini Roberto Pierini Mark M Wilde Preserving information from the beginning to the end of time in a Robertson–Walker spacetime New Journal of Physics quantum fields in curved spacetime quantum communication trade-off coding 04.62.+v 03.67.Hk |
| title | Preserving information from the beginning to the end of time in a Robertson–Walker spacetime |
| title_full | Preserving information from the beginning to the end of time in a Robertson–Walker spacetime |
| title_fullStr | Preserving information from the beginning to the end of time in a Robertson–Walker spacetime |
| title_full_unstemmed | Preserving information from the beginning to the end of time in a Robertson–Walker spacetime |
| title_short | Preserving information from the beginning to the end of time in a Robertson–Walker spacetime |
| title_sort | preserving information from the beginning to the end of time in a robertson walker spacetime |
| topic | quantum fields in curved spacetime quantum communication trade-off coding 04.62.+v 03.67.Hk |
| url | https://doi.org/10.1088/1367-2630/16/12/123049 |
| work_keys_str_mv | AT stefanomancini preservinginformationfromthebeginningtotheendoftimeinarobertsonwalkerspacetime AT robertopierini preservinginformationfromthebeginningtotheendoftimeinarobertsonwalkerspacetime AT markmwilde preservinginformationfromthebeginningtotheendoftimeinarobertsonwalkerspacetime |