Foundations of quantum theory and quantum information applications
arXiv:quant-ph/0212124
Abstract
This thesis establishes a number of connections between foundational issues in quantum theory, and some quantum information applications. It starts with a review of quantum contextuality and non-locality, multipartite entanglement characterisation, and of a few quantum information protocols. Quantum non-locality and contextuality are shown to be essential for different implementations of quantum information protocols known as quantum random access codes and quantum communication complexity protocols. I derive sufficient experimental conditions for tests of these quantum properties. I also discuss how the distribution of quantum information through quantum cloning processes can be useful in quantum computing. Regarding entanglement characterisation, some results are obtained relating two problems, that of additivity of the relative entropy of entanglement, and that of identifying different types of tripartite entanglement in the asymptotic regime of manipulations of many copies of a given state. The thesis ends with a description of an information processing task in which a single qubit substitutes for an arbitrarily large amount of classical communication. This result is interpreted in different ways: as a gap between quantum and classical computation space complexity; as a bound on the amount of classical communication necessary to simulate entanglement; and as a basic result on hidden-variable theories for quantum mechanics. I also show that the advantage of quantum over classical communication can be established in a feasible experiment.
D.Phil. (Ph.D.) thesis, University of Oxford (2002), reformatted to 105 pages
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- Building multiparticle states with teleportation
- On bound entanglement assisted distillation
- When only two thirds of the entanglement can be distilled
- Nonextensive approach to decoherence in quantum mechanics
- Quantum Whispers
- Minimal Absorption Measurements
- ROM-based quantum computation: Experimental explorations using Nuclear Magnetic Resonance, and future prospects
- Universal optimal cloning of qubits and quantum registers
Cited by in corpus (14)
- In defense of the epistemic view of quantum states: a toy theory
- Contextuality for preparations, transformations, and unsharp measurements
- State-independent experimental test of quantum contextuality
- Quantum Random Access Codes using Single -level Systems
- Self-testing mutually unbiased bases in the prepare-and-measure scenario
- Quantum random access codes and incompatibility of measurements
- Substituting a qubit for an arbitrarily large number of classical bits
- Tsirelson's bound and Landauer's principle in a single-system game
- Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios
- Information and The Brukner-Zeilinger Interpretation of Quantum Mechanics: A Critical Investigation
- Bell's Inequalities: Foundations and Quantum Communication
- Quantum realism and quantum surrealism
- Simulating violation of causality using a topological phase transition
- -fold unbiased bases: an extension of the MUB condition