Quantum information theory and the black hole information paradox
This thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics.
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Brac University
2021
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| Acesso em linha: | http://hdl.handle.net/10361/15431 |
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10361-154312021-10-19T21:03:53Z Quantum information theory and the black hole information paradox Rahman, Md Reshad Ur Munshi, Josh Ali, Tibra Department of Mathematics and Natural Sciences, BRAC University AdS/CFT Classical Black Holes Curved spacetime Entanglement entropy Quantum field theory Quantum information theory Holography Quench Quantum communication Quantum computers Information theory--Data processing Quantum theory This thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics. Cataloged from PDF version of thesis. Includes bibliographical references (pages 78-79). This thesis discusses the information-theoretic concepts of Black Holes. Its primary focus is describing black hole dynamics with unitary operators within the perspective of quantum information theory and AdS/CFT arguments on why black hole evaporation is likely to be unitary. This thesis also provides mathematical backgrounds of classical black holes and quantum field theory in curved space. Then we introduced entanglement entropy and compared the shell of photons in a pure state to free harmonic oscillators. Afterward, we introduce an interaction term in the hamiltonian for t > 0, which we call a sudden quench. Finally, we have calculated the time evolved entanglement entropy for N-quenched oscillators and graphically demonstrated the entanglement entropy for various N. We want to model the time dependent entanglement entropy S1 between the internal and emitted radiation of a black hole. As for a future project, we want to regularize a quantum field to the Hamiltonian of N-quenched oscillators and compute the entanglement entropy S2 that results from tracing degrees of freedom inside an imaginary sphere. Hence, as S1 increases with time as the photons’ shell begins to collapse, we have a comparable situation, using the ideas about holography, with the time evolution of the S2. Md Reshad Ur Rahman Josh Munshi B. Science in Physics 2021-10-19T05:53:30Z 2021-10-19T05:53:30Z 2020 2020-10 Thesis ID 18311003 ID 17111003 http://hdl.handle.net/10361/15431 en BRAC University thesis reports are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. 83 pages application/pdf Brac University |
| institution |
Brac University |
| collection |
Institutional Repository |
| language |
English |
| topic |
AdS/CFT Classical Black Holes Curved spacetime Entanglement entropy Quantum field theory Quantum information theory Holography Quench Quantum communication Quantum computers Information theory--Data processing Quantum theory |
| spellingShingle |
AdS/CFT Classical Black Holes Curved spacetime Entanglement entropy Quantum field theory Quantum information theory Holography Quench Quantum communication Quantum computers Information theory--Data processing Quantum theory Rahman, Md Reshad Ur Munshi, Josh Quantum information theory and the black hole information paradox |
| description |
This thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics. |
| author2 |
Ali, Tibra |
| author_facet |
Ali, Tibra Rahman, Md Reshad Ur Munshi, Josh |
| format |
Thesis |
| author |
Rahman, Md Reshad Ur Munshi, Josh |
| author_sort |
Rahman, Md Reshad Ur |
| title |
Quantum information theory and the black hole information paradox |
| title_short |
Quantum information theory and the black hole information paradox |
| title_full |
Quantum information theory and the black hole information paradox |
| title_fullStr |
Quantum information theory and the black hole information paradox |
| title_full_unstemmed |
Quantum information theory and the black hole information paradox |
| title_sort |
quantum information theory and the black hole information paradox |
| publisher |
Brac University |
| publishDate |
2021 |
| url |
http://hdl.handle.net/10361/15431 |
| work_keys_str_mv |
AT rahmanmdreshadur quantuminformationtheoryandtheblackholeinformationparadox AT munshijosh quantuminformationtheoryandtheblackholeinformationparadox |
| _version_ |
1814307063844569088 |