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Complexity and entanglement in quantum gravity / Arjun Kar.
- Format:
- Book
- Thesis/Dissertation
- Author/Creator:
- Kara, Arjuna, author.
- Language:
- English
- Subjects (All):
- Theoretical physics.
- Quantum physics.
- Information science.
- Physics and Astronomy--Penn dissertations.
- Penn dissertations--Physics and Astronomy.
- Local Subjects:
- Theoretical physics.
- Quantum physics.
- Information science.
- Physics and Astronomy--Penn dissertations.
- Penn dissertations--Physics and Astronomy.
- Genre:
- Academic theses.
- Physical Description:
- 1 online resource (117 pages)
- Contained In:
- Dissertations Abstracts International 82-03B.
- Place of Publication:
- [Philadelphia, Pennsylvania] : University of Pennsylvania ; Ann Arbor : ProQuest Dissertations & Theses, 2020.
- Language Note:
- English
- System Details:
- Mode of access: World Wide Web.
- text file
- Summary:
- We present a collection of recent results concerning quantum information theory applied to quantum gravity. We first study the entanglement structure of Euclidean path integral states in SU(2) Chern-Simons theory, where we elucidate a connection between topological entanglement and quantum mechanical entanglement. We prove that the topology of certain three-manifolds controls the entanglement structure of the resulting quantum state, and conjecture a more general relationship for arbitrary three-manifolds. We then analyze the quantum circuit complexity of the time evolution operator in the Sachdev-Ye-Kitaev model, a theory of near-extremal black hole microstates. We find that this complexity grows linearly for a time exponential in the entropy, modulo a caveat concerning global obstructions to the growth of the distance function along geodesics, which we do not rule out. This constitutes a partial proof of Susskind's conjecture about the complexity growth of black holes. Finally, we address the black hole information paradox in three dimensions by considering a toy model of black hole microstates in the form of an end-of-the-world brane. This brane carries a quantum theory which is itself holographic, and we compute entanglement entropies in the glued dual geometry by using a Ryu-Takayanagi formula where the minimal entropy surface can pass through the gluing surface.
- Notes:
- Source: Dissertations Abstracts International, Volume: 82-03, Section: B.
- Advisors: Balasubramanian, Vijay; Committee members: Mirjam Cvetic; Jonathan Heckman; Justin Khoury; Philip Nelson; Mark Trodden.
- Department: Physics and Astronomy.
- Ph.D. University of Pennsylvania 2020.
- Local Notes:
- School code: 0175
- ISBN:
- 9798672161433
- Access Restriction:
- Restricted for use by site license.
- This item must not be sold to any third party vendors.
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