Browsing Mathematics (Faculty of) by Subject "quantum information"
Now showing items 21-27 of 27
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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 ... -
Quantum superchannels on the space of quantum channels
(University of Waterloo, 2023-06-20)Quantum channels, defined as completely-positive and trace-preserving maps on matrix algebras, are an important object in quantum information theory. In this thesis we are concerned with the space of these channels. This ... -
Rigidity of near-optimal superdense coding protocols
(University of Waterloo, 2023-09-19)Rigidity in quantum information theory refers to the stringent constraints underlying optimal or near-optimal performance in certain quantum tasks. This property plays a crucial role in verifying untrusted quantum devices ... -
Separable State Discrimination Using Local Quantum Operations and Classical Communication
(University of Waterloo, 2013-08-30)In this thesis we study the subset of quantum operations that can be implemented using only local quantum operations and classical communication (LOCC). This restricted paradigm serves as a tool to study not only quantum ... -
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 ... -
Variations on a Theme: Graph Homomorphisms
(University of Waterloo, 2013-08-30)This thesis investigates three areas of the theory of graph homomorphisms: cores of graphs, the homomorphism order, and quantum homomorphisms. A core of a graph X is a vertex minimal subgraph to which X admits a ... -
A walk through quantum noise: a study of error signatures and characterization methods
(University of Waterloo, 2019-09-17)The construction of large scale quantum computing devices might be one of the most exciting and promising endeavors of the 21st century, but it also comes with many challenges. As quantum computers are supplemented with ...