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Quantum Computing with Noninteracting Particles

Alex Arkhipov Massachusetts Institute of Technology (MIT)
April 02, 2014

PIRSA:14040077
Quantum Physics
Scribble, Scribble

Isabella Stefanescu

April 02, 2014

PIRSA:14040117
13/14 PSI - Explorations in String Theory - Lecture 13

Andrei Starinets University of Oxford

April 02, 2014

PIRSA:14040018
13/14 PSI - Explorations in Condensed Matter - Lecture 13

Guifre Vidal Alphabet (United States)

April 02, 2014

PIRSA:14040039
13/14 PSI - Explorations in Quantum Information - Lecture 13

David Cory Institute for Quantum Computing (IQC)

April 02, 2014

PIRSA:14040010
Introduction to Quantum Field Theory for Cosmology - Lecture 23

Achim Kempf University of Waterloo

April 01, 2014

PIRSA:14040000
Incompatibility of observables in quantum theory and other probabilistic theories
April 01, 2014

PIRSA:14040075
Quantum Physics
Fibonacci Anyons From Abelian Bilayer Quantum Hall States

Abolhassan Vaezi Cornell University
April 01, 2014

PIRSA:14040120
Condensed Matter
RG flows with N=1 supersymmetry

Henriette Elvang University of Michigan–Ann Arbor
April 01, 2014

PIRSA:14030074
High Energy Physics
13/14 PSI - Explorations in String Theory - Lecture 12

Andrei Starinets University of Oxford

April 01, 2014

PIRSA:14040017
The not-so-homogeneous universe

Phil Bull Queen Mary University of London
April 01, 2014

PIRSA:14040129
Astrophysics
13/14 PSI - Explorations in Condensed Matter - Lecture 12

Guifre Vidal Alphabet (United States)

April 01, 2014

PIRSA:14040038

Quantum Computing with Noninteracting Particles

Alex Arkhipov Massachusetts Institute of Technology (MIT)
April 02, 2014

PIRSA:14040077
Quantum Physics
We introduce an abstract model of computation corresponding to an experiment in which identical, non-interacting bosons are sent through a non-adaptive linear circuit before being measured. We show that despite the very limited nature of the model, an exact classical simulation would imply a collapse of the polynomial hierarchy. Moreover, under plausible conjectures, a "noisy" approximate simulation would do the same. This gives evidence that quantum computers can sample a distribution that classical computers cannot even approximate, even when restricted to use no entanglement except that arising from particles being identical. We briefly discuss experimental prospects for realizing this model. This talk is based on The Computational Complexity of Linear Optics [STOC '11], which is joint work with Scott Aaronson.
Scribble, Scribble

Isabella Stefanescu

April 02, 2014

PIRSA:14040117

The live performance of a drawing contains information, expression and meaning that a finished drawing does not. Part performance, part demonstration, Isabella Stefanescu’s talk will explore the artistic challenges in creating performance pieces with the Euphonopen, an assemblage of hardware and software designed to map the characteristic mark making gestures of an artist to sound. Various stages of the Euphonopen project have been presented at SIGGRAPH (2010), Concordia University Live Electroacoustic Colloquium (2011), McGill University Time Forms Conference (2013).
13/14 PSI - Explorations in String Theory - Lecture 13

Andrei Starinets University of Oxford

April 02, 2014

PIRSA:14040018
13/14 PSI - Explorations in Condensed Matter - Lecture 13

Guifre Vidal Alphabet (United States)

April 02, 2014

PIRSA:14040039
13/14 PSI - Explorations in Quantum Information - Lecture 13

David Cory Institute for Quantum Computing (IQC)

April 02, 2014

PIRSA:14040010
Introduction to Quantum Field Theory for Cosmology - Lecture 23

Achim Kempf University of Waterloo

April 01, 2014

PIRSA:14040000
Incompatibility of observables in quantum theory and other probabilistic theories
April 01, 2014

PIRSA:14040075
Quantum Physics
We introduce a new way of quantifying the degrees of incompatibility of two observables in a probabilistic physical theory and, based on this, a global measure of the degree of incompatibility inherent in such theories. This opens up a flexible way of comparing probabilistic theories with respect to the nonclassical feature of incompatibility. We show that quantum theory contains observables that are as incompatible as any probabilistic physical theory can have. In particular, we prove that two of the most common pairs of complementary observables (position and momentum; number and phase) are maximally incompatible. However, if one adopts a more refined measure of the degree of incompatibility, for instance, by restricting the comparison to binary observables, it turns out that there are probabilistic theories whose inherent degree of incompatibility is greater than that of quantum theory. Finally, we analyze the noise tolerance of the incompatibility of a pair of observables in a CHSH-Bell experiment.
Fibonacci Anyons From Abelian Bilayer Quantum Hall States

Abolhassan Vaezi Cornell University
April 01, 2014

PIRSA:14040120
Condensed Matter
The possibility of realizing non-Abelian statistics and utilizing it for topological quantum computation (TQC) has generated widespread interest. However, the non-Abelian statistics that can be realized in most accessible proposals is not powerful enough for universal TQC. In this talk, I consider a simple bilayer fractional quantum Hall (FQH) system with the 1/3 Laughlin state in each layer, in the presence of interlayer tunneling. I show that interlayer tunneling can drive a continuous phase transition to an exotic non-Abelian state that contains the famous `Fibonacci' anyon, whose non-Abelian statistics is powerful enough for universal TQC. The analysis that I will present towards this result rests on startling agreements from a variety of distinct methods, including thin torus limits, effective field theories, and coupled wire constructions.

Next, I discuss the experimental aspects of our proposal and potential probes for the Fibonacci phase. I show that the charge gap remains open at the phase transition while the neutral gap closes. This raises the question of whether these exotic phases may have already been realized at nu=2/3 in bilayers, as past experiments may not have definitively ruled them out. Finally, I will discuss about the generalizations to multi-layer states as well as the duality between the interlayer pairing and interlayer tunneling problems.

Reference: arXiv:1403.3383
RG flows with N=1 supersymmetry

Henriette Elvang University of Michigan–Ann Arbor
April 01, 2014

PIRSA:14030074
High Energy Physics
The dilaton effective action plays a key role for the recent proof of the a-theorem by Schwimmer and Komargodski. In the presence of other massless modes, one may ask if this proof is affected. In particular, in renormalization group (RG) flows with N=1 supersymmetry, there is a natural massless partner of the dilaton, namely an axion field. I will discuss RG flows, the a-theorem, and the form of the N=1 supersymmetric dilaton-axion effective action and its physics.
13/14 PSI - Explorations in String Theory - Lecture 12

Andrei Starinets University of Oxford

April 01, 2014

PIRSA:14040017
The not-so-homogeneous universe

Phil Bull Queen Mary University of London
April 01, 2014

PIRSA:14040129
Astrophysics
The assumption of spatial homogeneity lies at the heart of the concordance cosmological model. But as I will discuss, truly solid empirical evidence for global (statistical) homogeneity is lacking, and tricky theoretical issues abound. I review a few recent advances in understanding the role inhomogeneity plays in cosmology, including some unexpected effects on light propagation, the death (and rebirth) of backreaction, and impending observational annoyances related to the lumpy local Universe. I'll also talk about some near-future observations that can give us a handle on these effects
13/14 PSI - Explorations in Condensed Matter - Lecture 12

Guifre Vidal Alphabet (United States)

April 01, 2014

PIRSA:14040038

Title	Date	Collection	Type	Info
Quantum Computing with Noninteracting Particles	2014‑04‑02	Perimeter Institute Quantum Discussions	Scientific Series	View details
Scribble, Scribble	2014‑04‑02	Colloquium	Scientific Series	View details
13/14 PSI - Explorations in String Theory - Lecture 13	2014‑04‑02	13/14 PSI - Explorations in String Theory	Course	View details
13/14 PSI - Explorations in Condensed Matter - Lecture 13	2014‑04‑02	13/14 PSI - Explorations in Condensed Matter	Course	View details
13/14 PSI - Explorations in Quantum Information - Lecture 13	2014‑04‑02	13/14 PSI - Explorations in Quantum Information	Course	View details
Introduction to Quantum Field Theory for Cosmology - Lecture 23	2014‑04‑01	Quantum Field Theory for Cosmology - 2014	Course	View details
Incompatibility of observables in quantum theory and other probabilistic theories	2014‑04‑01	Quantum Foundations	Scientific Series	View details
Fibonacci Anyons From Abelian Bilayer Quantum Hall States	2014‑04‑01	Quantum Matter	Scientific Series	View details
RG flows with N=1 supersymmetry	2014‑04‑01	Quantum Fields and Strings	Scientific Series	View details
13/14 PSI - Explorations in String Theory - Lecture 12	2014‑04‑01	13/14 PSI - Explorations in String Theory	Course	View details
The not-so-homogeneous universe	2014‑04‑01	Cosmology and Gravitation	Scientific Series	View details
13/14 PSI - Explorations in Condensed Matter - Lecture 12	2014‑04‑01	13/14 PSI - Explorations in Condensed Matter	Course	View details

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Format results

Quantum Computing with Noninteracting Particles

Scribble, Scribble

13/14 PSI - Explorations in String Theory - Lecture 13

13/14 PSI - Explorations in Condensed Matter - Lecture 13

13/14 PSI - Explorations in Quantum Information - Lecture 13

Introduction to Quantum Field Theory for Cosmology - Lecture 23

Incompatibility of observables in quantum theory and other probabilistic theories

Fibonacci Anyons From Abelian Bilayer Quantum Hall States

RG flows with N=1 supersymmetry

13/14 PSI - Explorations in String Theory - Lecture 12

The not-so-homogeneous universe

13/14 PSI - Explorations in Condensed Matter - Lecture 12

Quantum Computing with Noninteracting Particles

Scribble, Scribble

13/14 PSI - Explorations in String Theory - Lecture 13

13/14 PSI - Explorations in Condensed Matter - Lecture 13

13/14 PSI - Explorations in Quantum Information - Lecture 13

Introduction to Quantum Field Theory for Cosmology - Lecture 23

Incompatibility of observables in quantum theory and other probabilistic theories

Fibonacci Anyons From Abelian Bilayer Quantum Hall States

RG flows with N=1 supersymmetry

13/14 PSI - Explorations in String Theory - Lecture 12

The not-so-homogeneous universe

13/14 PSI - Explorations in Condensed Matter - Lecture 12