Browsing Mathematics (Faculty of) by Subject "entanglement"
Now showing items 1-11 of 11
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Correlation and Communication via a Quantum Field
(University of Waterloo, 2019-07-15)We study the ability of qubit detectors to i) extract correlations from, and ii) transmit quantum information through, a quantum field. We start by perturbatively studying the harvesting of correlations from thermal and ... -
Entanglement Entropy in Quantum Gravity
(University of Waterloo, 2008-05-22)We study a proposed statistical explanation for the Bekenstein-Hawking entropy of a black hole in which entropy arises quantum-mechanically as a result of entanglement. Arguments for the identification of black hole entropy ... -
Entanglement in single-shot quantum channel discrimination
(University of Waterloo, 2018-08-30)Single-shot quantum channel discrimination is the fundamental task of determining, given only a single use, which of two known quantum channels is acting on a system. In this thesis we investigate the well-known phenomenon ... -
Graph-theoretic Properties of Control Flow Graphs and Applications
(University of Waterloo, 2015-08-25)This thesis deals with determining appropriate width parameters of control flow graphs so that certain computationally hard problems of practical interest become efficiently solvable. A well-known result of Thorup states ... -
Information propagation and entanglement generation between two Unruh-DeWitt detectors
(University of Waterloo, 2010-07-23)The setup in which two quantum systems, Alice and Bob, communicate using bosonic field quanta can be viewed as a prototype for wireless quantum communication. In this thesis we focus on the most basic case, where Alice ... -
Non-local Quantum Systems with Infinite Entanglement
(University of Waterloo, 2022-08-18)The study of quantum entanglement under quantum information has mostly been done in the mathematical model of tensor product of Hilbert spaces. In infinite dimensions, this model cannot capture all cases of non-local ... -
On the Application of Bandlimitation and Sampling Theory to Quantum Field Theory
(University of Waterloo, 2020-10-07)It is widely believed that combining the uncertainty principle with gravity will lead to an effective minimum length scale. A particular challenge is to specify this scale in a coordinate-independent manner so that covariance ... -
On the Relation between Quantum Discord and Purified Entanglement
(University of Waterloo, 2013-08-30)In this thesis, I study bipartite discord between A and B in terms of the structure formed by the bipartite and tripartite entanglement found in the purified system ABC. I find that discord manifests itself only when there ... -
Quantum Compression and Quantum Learning via Information Theory
(University of Waterloo, 2020-12-21)This thesis consists of two parts: quantum compression and quantum learning theory. A common theme between these problems is that we study them through the lens of information theory. We first study the task of visible ... -
Quantum Strategies and Local Operations
(University of Waterloo, 2010-01-06)This thesis is divided into two parts. In Part I we introduce a new formalism for quantum strategies, which specify the actions of one party in any multi-party interaction involving the exchange of multiple quantum messages ... -
Tensors: Entanglement, Geometry, and Combinatorics
(University of Waterloo, 2022-04-26)In this thesis, we use algebraic-geometric and combinatorial techniques to study tensor decompositions, with applications in quantum information theory, algebraic complexity theory, and algebraic statistics. A tensor is a ...