Scrambling, pulses, and networks in quantum information theory
Abstract/Contents
- Abstract
- Quantum information theory is a project to quantize the mathematical theory of information. In this thesis we establish a few results. The first evaluates a proposal for an information-theoretic definition of scrambling in quantum systems, including systems of interest in quantum gravity and quantum many-body physics. In particular, this definition quantifies scrambling, and we prove what this quantity says about a quantum system. The second establishes how much information can be transmitted by a quantum channel per unit cost, where the cost may not be time but something else, for instance energy or number of photons. We provide protocols to communicate at the optimal cost efficiency using pulses. The third gives achievable information rates in a quantum communication network. We prove this result using a recent theorem on quantum joint typicality and demonstrate its use by attaining achievable rates for the quantum relay channel.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2019; ©2019 |
| Publication date | 2019; 2019 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Ding, Dawei |
|---|---|
| Degree supervisor | Hayden, Patrick (Patrick M.) |
| Degree supervisor | Mabuchi, Hideo |
| Thesis advisor | Hayden, Patrick (Patrick M.) |
| Thesis advisor | Mabuchi, Hideo |
| Thesis advisor | Safavi-Naeini, Amir H |
| Degree committee member | Safavi-Naeini, Amir H |
| Associated with | Stanford University, Department of Applied Physics. |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Dawei Ding. |
|---|---|
| Note | Submitted to the Department of Applied Physics. |
| Thesis | Thesis Ph.D. Stanford University 2019. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2019 by Dawei Ding
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