Study of Gaussian Channels: Classification of one mode Bosonic Channels, Kraus Representation and a result from ESD (Record no. 48874)
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| 000 -LEADER | |
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| fixed length control field | 02448nam a2200241Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s2011||||xx |||||||||||||| ||und|| |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | HBNI MSc-6 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Tanmay Singal |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Study of Gaussian Channels: Classification of one mode Bosonic Channels, Kraus Representation and a result from ESD |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 2011 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 52p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 2011 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | M.Sc |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | HBNI |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | This review starts with the basic Hilbert space structure for continuous variable systems, explaining the pre-requisites to be able to define a Gaussian state. After that a preliminary study of Gaussian channels is undertaken. The criteria for a quantum channel being Gaussian is laid out. In accordance with these criteria a classification of one-mode bosonic Gaussian channels with a single-mode environment is given. The Kraus representation for the various channels is then obtained and used to verify some of the pre-existing properties of the various channels (non-classicality breaking, entanglement breaking, extremality of the channel, etc). After this the entanglement sudden death (ESD) of a two-mode Gaussian state under the action of a Gaussian channel is studied. This channel comprises of two mutually exclusive channels, each of which is acting on one of the two-modes of the Gaussian states. The channel action comprises of interaction of the mode with a thermal bath. Both the channels, interacting with the two modes separately are at the same temperature. In the study for ESD, it is discovered that for all non-zero temperatures, all entangled-two-mode Gaussian states undergo ESD at some time or the other. For the zero temperature case S. Goyal and S. Ghosh have proved that ESD won’t occur for a set kind of states. We have tried to generalize this result i.e. found another set of two mode Gaussian states which also won’t undergo ESD under the channel action. It is desired to know if there are some two-mode Gaussian states which will undergo ESD at zero temperature. We find that there are some states which undergo ESD while interacting with a zero-temperature thermal bath. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Physics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Gaussian Channels |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | HBNI MSc 6 |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Sibhashis Ghosh |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/327 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | THESIS & DISSERTATION |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Full call number | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | HBNI MSc-6 | 66447 | http://www.imsc.res.in/xmlui/handle/123456789/327 | THESIS & DISSERTATION |