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Universal fault-tolerant quantum computation with only transversal gates and error correction

Adam Paetznick
September 25, 2013

PIRSA:13090069
Quantum Foundations
Slippery Waves: Brilliance Brings Blind Spots

Leo Kadanoff
September 25, 2013

PIRSA:13090051
Mathematical physics
13/14 PSI - Quantum Theory - Lecture 13

Joseph Emerson Institute for Quantum Computing (IQC)

September 25, 2013

PIRSA:13090046
Topics in QFT on Flat and Curved Spacetimes - Lecture 2

Ugo Moschella University of Insubria

September 25, 2013

PIRSA:13090010
13/14 PSI - Relativity - Lecture 13

Neil Turok University of Edinburgh

September 25, 2013

PIRSA:13090027
Electroweak Cogenesis and a CP Violating Higgs Boson
September 24, 2013

PIRSA:13090077
Particle Physics
Not so random walks in cosmology

Ravi Sheth University of Pennsylvania
September 24, 2013

PIRSA:13090063
Cosmology
13/14 PSI - Quantum Theory - Lecture 12

Joseph Emerson Institute for Quantum Computing (IQC)

September 24, 2013

PIRSA:13090045
13/14 PSI - Relativity - Lecture 12

Neil Turok University of Edinburgh

September 24, 2013

PIRSA:13090026
13/14 PSI - Quantum Theory - Lecture 11

Joseph Emerson Institute for Quantum Computing (IQC)

September 23, 2013

PIRSA:13090044
13/14 PSI - Relativity - Lecture 11

Neil Turok University of Edinburgh

September 23, 2013

PIRSA:13090025
13/14 PSI - Quantum Theory - Lecture 10

Joseph Emerson Institute for Quantum Computing (IQC)

September 20, 2013

PIRSA:13090041

Universal fault-tolerant quantum computation with only transversal gates and error correction

Adam Paetznick
September 25, 2013

PIRSA:13090069
Quantum Foundations
Transversal implementations of encoded unitary gates are highly desirable for fault-tolerant quantum computation. It is known, however, that transversal gates alone cannot be computationally universal. I will show that the limitation on universality can be circumvented using only fault-tolerant error correction, which is already required anyway. This result applies to ``triorthogonal'' stabilizer codes, which were recently introduced by Bravyi and Haah for state distillation. I will show that triothogonal codes admit transversal implementation of the controlled-controlled-Z gate, and then demonstrate a transversal Hadamard construction which uses error correction to preserve the codespace. I will also discuss how to adapt the distillation procedure of Bravyi and Haah to Toffoli gates, improving on existing Toffoli distillation schemes.
Slippery Waves: Brilliance Brings Blind Spots

Leo Kadanoff
September 25, 2013

PIRSA:13090051
Mathematical physics
Superfluidity and superconductivity are two remarkable phenomena in which, at low temperatures, materials abruptly gain the ability to flow without friction. Microscopic quantum theories of these phases of matter were constructed in blockbuster papers of Lev Landau (1940) and John Bardeen, Leon Cooper, and J. Robert Schrieffer (1957). The actual explanation of the flow, however, is rooted in a Einstein paper of 1924 that introduces a condensate, a quantum configuration describing a finite fraction of the particles in the system. Superfluidity can then be understood in terms of the wave function for this configuration, which necessarily extends over a finite fraction of the system. Neither blockbuster paper mentions Einstein or the crucial idea of a condensate wave function. The reasons for this omission are mooted.
13/14 PSI - Quantum Theory - Lecture 13

Joseph Emerson Institute for Quantum Computing (IQC)

September 25, 2013

PIRSA:13090046
Topics in QFT on Flat and Curved Spacetimes - Lecture 2

Ugo Moschella University of Insubria

September 25, 2013

PIRSA:13090010
13/14 PSI - Relativity - Lecture 13

Neil Turok University of Edinburgh

September 25, 2013

PIRSA:13090027
Electroweak Cogenesis and a CP Violating Higgs Boson
September 24, 2013

PIRSA:13090077
Particle Physics
We propose a simple renormalizable model of baryogenesis and asymmetric dark matter generation at the electroweak phase transition. Our setup utilizes the two Higgs doublet model plus two complex gauge singlets, the lighter of which is stable dark matter. The dark matter is charged under a global symmetry that is broken in the early universe but restored during the electroweak phase transition. Because the ratio of baryon and dark matter asymmetries is controlled by model parameters, the dark matter need not be light. Thus, new force carriers are unnecessary and the symmetric dark matter abundance can be eliminated via Higgs portal interactions alone. The dark matter mass is also constrained within a window around the weak scale. One of the main predictions of this model is CP violating Higgs signals at the LHC and future colliders.
Not so random walks in cosmology

Ravi Sheth University of Pennsylvania
September 24, 2013

PIRSA:13090063
Cosmology
I'll discuss a number of insights into the process of nonlinear structure formation which come from the study of random walks crossing a suitably chosen barrier. These derive from a number of new results about walks with correlated steps, and include a unified framework for the peaks and excursion set frameworks for estimating halo abundances, evolution and clustering, as well as nonlinear, nonlocal and stochastic halo bias, all of which matter for the next generation of large scale structure datasets.
13/14 PSI - Quantum Theory - Lecture 12

Joseph Emerson Institute for Quantum Computing (IQC)

September 24, 2013

PIRSA:13090045
13/14 PSI - Relativity - Lecture 12

Neil Turok University of Edinburgh

September 24, 2013

PIRSA:13090026
13/14 PSI - Quantum Theory - Lecture 11

Joseph Emerson Institute for Quantum Computing (IQC)

September 23, 2013

PIRSA:13090044
13/14 PSI - Relativity - Lecture 11

Neil Turok University of Edinburgh

September 23, 2013

PIRSA:13090025
13/14 PSI - Quantum Theory - Lecture 10

Joseph Emerson Institute for Quantum Computing (IQC)

September 20, 2013

PIRSA:13090041

Title	Date	Collection	Type	Info
Universal fault-tolerant quantum computation with only transversal gates and error correction	2013‑09‑25	Perimeter Institute Quantum Discussions	Scientific Series	View details
Slippery Waves: Brilliance Brings Blind Spots	2013‑09‑25	Colloquium	Scientific Series	View details
13/14 PSI - Quantum Theory - Lecture 13	2013‑09‑25	13/14 PSI - Quantum Theory	Course	View details
Topics in QFT on Flat and Curved Spacetimes - Lecture 2	2013‑09‑25	Topics in QFT on Flat and Curved Spacetimes	Course	View details
13/14 PSI - Relativity - Lecture 13	2013‑09‑25	13/14 PSI - Relativity	Course	View details
Electroweak Cogenesis and a CP Violating Higgs Boson	2013‑09‑24	Particle Physics	Scientific Series	View details
Not so random walks in cosmology	2013‑09‑24	Cosmology and Gravitation	Scientific Series	View details
13/14 PSI - Quantum Theory - Lecture 12	2013‑09‑24	13/14 PSI - Quantum Theory	Course	View details
13/14 PSI - Relativity - Lecture 12	2013‑09‑24	13/14 PSI - Relativity	Course	View details
13/14 PSI - Quantum Theory - Lecture 11	2013‑09‑23	13/14 PSI - Quantum Theory	Course	View details
13/14 PSI - Relativity - Lecture 11	2013‑09‑23	13/14 PSI - Relativity	Course	View details
13/14 PSI - Quantum Theory - Lecture 10	2013‑09‑20	13/14 PSI - Quantum Theory	Course	View details

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