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    •   BracU IR
    • School of Data and Sciences (SDS)
    • Department of Mathematics and Natural Sciences (MNS)
    • Bachelor of Science in Physics
    • Thesis (Bachelor of Science in Physics)
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    Quantum information theory and the black hole information paradox

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    18311003, 17111003_MNS.pdf (3.089Mb)
    Date
    2020-10
    Publisher
    Brac University
    Author
    Rahman, Md Reshad Ur
    Munshi, Josh
    Metadata
    Show full item record
    URI
    http://hdl.handle.net/10361/15431
    Abstract
    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.
    Keywords
    AdS/CFT; Classical Black Holes; Curved spacetime; Entanglement entropy; Quantum field theory; Quantum information theory; Holography; Quench
     
    LC Subject Headings
    Quantum communication; Quantum computers; Information theory--Data processing; Quantum theory
     
    Description
    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).
    Department
    Department of Mathematics and Natural Sciences, BRAC University
    Collections
    • Thesis (Bachelor of Science in Physics)

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