VICTOR VEITCH THESIS

Cite this version of the work Victor Veitch Negative Quasi-probability in the Context of Quantum Computation. This thesis is concerned with advancing the confrontation between relativistic quantum information RQI and experiment. The key technical challenge in this setting is that standard statistical assumptions do not hold. In particular, we study what resources are required to promote fault tolerant stabilizer computation to universal quantum computation. Read, highlight, and take notes, across web, tablet, and phone.

In particular, we study what resources are required to promote fault tolerant stabilizer computation to universal quantum computation. We address the task of protecting quantum information from an information 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. Pierre Robillard Award Call for Nominations. The Canadian Journal of Statistics Award.

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. However observation of quantum e ects at a macroscopic level still Collections Applied Mathematics Theses.

Victor is from Waterloo, Vietch. His work also makes substantial contributions to the theory of graph limits.

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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. We believe that the techniques we develop here will be widely applicable in quantum theory, particularly in the context of resource theories.

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This thesis is concerned with advancing the confrontation between relativistic quantum information RQI and experiment. JavaScript is disabled for your browser.

victor veitch thesis

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. Pierre Robillard Award Call for Nominations.

Victor Veitch, Pierre Robillard Award 2018

Diciccio Christian Genest Anthony F. Related items Showing items related by title, author, creator and subject. Cite this version of the work Victor Veitch Thanks to Daniel Roy, who was primarily responsible for producing this material. He earned a BSc in mathematical physics from the University of Waterloo, and later earned a MMath, also from Waterloo, working in quantum computation.

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.

[] Contextuality supplies the magic for quantum computation

In particular, we study what resources are required to promote fault tolerant stabilizer computation to universal quantum computation. The key technical challenge in this setting is that standard statistical assumptions do not hold. Victoor research on sparse graph models, graph limits, and estimation has made foundational contributions to network data analysis and more generally, the problem of modeling relational data.

victor veitch thesis

We address the task of protecting quantum information from an information Account Options Sign in. The Canadian Journal of Statistics Award.

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. This new model contains the popular stochastic block model indeed, every exchangeable graph model as a submodel, but also permits sparsely connected graphs, which are believed to better capture the statistics of real-world networks.

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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 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.

Negative Quasi-Probability in the Context of Quantum Computation

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.

Skip to main content. This connection allows us to establish a number thdsis 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. Statistics View Google statistics.

This gives a precise, quantitative meaning to the negativity of a quasi-probability representation, thereby resolving the 80 year debate as to whether this thwsis is a meaningful indicator of quantum behaviour.

Victor Veitch, Pierre Robillard Award My library Help Advanced Book Search.

Transmitting quantum information across vwitch channels is an important task. Victor’s thesis makes an in-depth study of this new model, uncovering sampling interpretations and identifying canonical estimators.