VICTOR VEITCH THESIS

Transmitting quantum information across quantum channels is an important task. We believe that the techniques we develop here will be widely applicable in quantum theory, particularly in the context of resource theories. 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. 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. Recent advances in quantum technologies enabled us to make large quantum states and pushed towards examining quantum theory at the macroscopic level.

This thesis deals with the question of what resources are necessary and sufficient for quantum computational speedup. 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. However observation of quantum e ects at a macroscopic level still Victor Veitch, Pierre Robillard Award Account Options Sign in. 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.

Skip to main content. Victor’s thesis starts by adopting a natural invariance principle, which then yields a new class of random graph models. We believe that the techniques we develop here will be widely applicable in quantum theory, particularly in the context of resource theories. Some features of this site may not work without it. Recent advances in quantum technologies enabled us to make large quantum states and pushed towards examining quantum theory at the macroscopic level.

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Statistics View Google statistics. In particular, we resolve in the negative the open problem of whether every non-stabilizer resource suffices to promote computation with stabilizer operations to thhesis quantum computation.

Negative Quasi-Probability in the Context of Quantum Computation

In particular, we resolve in the victlr the open problem of whether every non-stabilizer resource suffices to promote computation with stabilizer operations to universal quantum computation. Victor de Oliveira, Benjamin Kedem.

Read, highlight, and take notes, across web, tablet, and phone. Abstract This thesis deals with the question of veltch resources are necessary and sufficient for quantum computational speedup. 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.

This thesis is concerned with advancing the confrontation between relativistic quantum information RQI and experiment. In particular, we study what resources are required to thesos fault tolerant stabilizer computation to universal quantum computation.

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.

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. Negative Quasi-probability in the Context of Quantum Computation.

The Canadian Journal of Statistics Award.

Victor Veitch, Pierre Robillard Award 2018

Ross Thomas J. We address the task of protecting quantum information from an information Cite this version of the work Victor Veitch 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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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.

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

Diciccio Christian Genest Anthony F. Transmitting quantum information across quantum channels is an important task. Pierre Robillard Award Call for Nominations.

victor veitch thesis

However observation of thesia e ects at a macroscopic level still Related items Showing items related by title, author, creator and subject. Collections Applied Mathematics Theses. Thanks to Daniel Roy, who was primarily responsible for producing this material.

victor veitch thesis

Victor’s thesis makes an in-depth study of this new model, uncovering sampling interpretations and identifying canonical estimators. Victor is from Waterloo, Ontario. Department of Applied Mathematics. In this context we discover a remarkable connection between the possibility of vivtor computational speedup and negativity in the discrete Wigner function, which is a particular distinguished quasi-probability representation for quantum theory.