We address the task of protecting quantum information from an information He earned a BSc in mathematical physics from the University of Waterloo, and later earned a MMath, also from Waterloo, working in quantum computation. This gives a precise, quantitative meaning to the negativity of a quasi-probability representation, thereby resolving the 80 year debate as to whether this quantity is a meaningful indicator of quantum behaviour. We believe that the techniques we develop here will be widely applicable in quantum theory, particularly in the context of resource theories. This connection allows us to establish a number of important results related to magic state computation, an important model for fault tolerant quantum computation using stabilizer operations supplemented by the ability to prepare noisy non-stabilizer ancilla states. In particular, we study what resources are required to promote fault tolerant stabilizer computation to universal quantum computation. Pierre Robillard Award Call for Nominations.

In this context we discover that the sum of the negative entries of the discrete Wigner representation of a state is a measure of its usefulness for quantum computation. Department of Applied Mathematics. In this context we discover a remarkable connection between the possibility of quantum computational speedup and negativity in the discrete Wigner function, which is a particular distinguished quasi-probability representation for quantum theory. This connection allows us to establish a number of important results related to magic state computation, an important model for fault tolerant quantum computation using stabilizer operations supplemented by the ability to prepare noisy non-stabilizer ancilla states. His work also makes substantial contributions to the theory of graph limits. Transmitting quantum information across quantum channels is an important task.

The key technical challenge in this setting is that standard statistical assumptions do not hold.

Negative Quasi-probability in the Veihch of Quantum Computation Victor Veitch University of Waterloo- 80 pages 0 Reviews This thesis deals with the question of what resources are necessary and sufficient for quantum computational speedup.

JavaScript is disabled for your browser. In particular, we resolve in the negative the open problem of whether every non-stabilizer resource suffices to promote computation with stabilizer operations to universal quantum computation. This prize recognizes the best PhD thesis in probability or statistics defended at a Canadian university in a given year. This gives a precise, quantitative meaning to the negativity of a quasi-probability representation, thereby resolving the 80 year debate as to whether this quantity is a meaningful indicator of quantum behaviour.

# Negative Quasi-probability in the Context of Quantum Computation – Victor Veitch – Google Books

Victor is from Waterloo, Ontario. Ross Thomas J. We believe that the techniques we develop here will be widely applicable in quantum theory, particularly in the context of resource theories.

This thesis deals with the question of what resources are necessary and sufficient for quantum computational speedup. The Canadian Journal of Statistics Award. Moreover, by casting magic state computation as resource theory we are able to quantify how useful ancilla resource states are for quantum computation, which allows us to give bounds on the required resources.

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Related items Showing items related by title, author, creator and subject. We address the task of protecting quantum information from an information Read, highlight, and take notes, across web, tablet, and phone. Negative Quasi-probability in the Context of Quantum Computation.

However observation of quantum e ects at a macroscopic level still Transmitting quantum information across quantum channels is an important task. The criteria used in selecting the winner of the Pierre Robillard Award include the originality of ideas and techniques, the possible applications and their treatment, and the potential impact of the work.

Pierre Robillard Award Call for Nominations. In this context we discover that the sum of the negative entries of the discrete Wigner representation of a state is a measure of its usefulness for quantum computation.

In this context we discover a remarkable connection between the possibility of quantum computational speedup and negativity in the discrete Wigner function, which is a particular distinguished quasi-probability representation for quantum theory. Juli Atherton and Veiych Wu.

His work also makes substantial contributions to the theory of graph limits. Victor’s thesis starts by adopting a natural invariance principle, which then yields a new class of random graph models.

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Thanks to Daniel Roy, who was primarily victot for producing this material. This thesis is concerned with advancing the confrontation between relativistic quantum information RQI and experiment. Cite this version of the work Victor Veitch He earned a BSc in mathematical physics from the University of Waterloo, and later earned a MMath, also from Waterloo, working in quantum computation. Recent advances in quantum technologies enabled us to make large quantum states and pushed towards examining quantum theory at the macroscopic level.

Victor de Oliveira, Benjamin Kedem. Skip to main content.

Richard Shillington T. However quantum information is delicate, and is easily corrupted.