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Fault tolerance of "bad" quantum low-density parity check codes

Alexey Kovalev University of California, Riverside

October 29, 2012

PIRSA:12100130
Synthetic non-Abelian anyons in fractional Chern insulators and beyond

Xiaoliang Qi Stanford University
October 26, 2012

PIRSA:12100051
Condensed Matter
Quantum Field Theory - Lecture 14B

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 26, 2012

PIRSA:12100075
High Energy Physics
Condensed Matter - Lecture 14

Assa Auerbach Technion – Israel Institute of Technology
October 26, 2012

PIRSA:12100039
Condensed Matter
Quantum Field Theory - Lecture 14A

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 26, 2012

PIRSA:12100021
High Energy Physics
Effective field theory framework in QG
- Xavier Calmet University of Sussex
- Roberto Percacci SISSA International School for Advanced Studies
- Astrid Eichhorn Universität Heidelberg
- Martin Reuter Johannes Gutenberg University Mainz
October 25, 2012

PIRSA:12100121
General Relativity & Quantum Cosmology
Experimental tests of CPT symmetry

Antonio Di Domenico Sapienza University of Rome

October 25, 2012

PIRSA:12100120
Kicking Chameleons: Early Universe Challenges for Chameleon Gravity

Adrienne Erickcek University of North Carolina at Chapel Hill
October 25, 2012

PIRSA:12100125
Astrophysics
Quantum Field Theory - Lecture 13B

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 25, 2012

PIRSA:12100074
High Energy Physics
Condensed Matter - Lecture 13

Assa Auerbach Technion – Israel Institute of Technology
October 25, 2012

PIRSA:12100038
Condensed Matter
Quantum Gravity and the Weak Interactions
- Lee Smolin Perimeter Institute for Theoretical Physics
- Xavier Calmet University of Sussex
- Stephon Alexander Brown University
- Daniel Litim University of Sussex
- Doug Gingrich University of Alberta
- Dejan Stojkovic State University of New York (SUNY)
October 25, 2012

PIRSA:12100116
General Relativity & Quantum Cosmology
Experimental search for quantum gravity - the hard facts

Hugo Beauchemin University of Oxford
October 25, 2012

PIRSA:12100115
General Relativity & Quantum Cosmology

Fault tolerance of "bad" quantum low-density parity check codes

Alexey Kovalev University of California, Riverside

October 29, 2012

PIRSA:12100130

In my talk, I will discuss various families of quantum low-density parity check (LDPC) codes and their fault tolerance. Such codes yield finite code rates and at the same time simplify error correction and encoding due to low-weight stabilizer generators. As an example, a large family of hypergraph-product codes is considered. Of particular interest are families of quantum LDPC codes with finite rate and distance scaling as square root of blocklength since this represents the best known exponent in distance scaling, even for codes of dimensionality 1. In relation to such codes, we show that any family of LDPC codes, quantum or classical, where distance scales as a positive power of the block length, $d \propto n^\alpha$, $\alpha>0$ ($\alpha<1$ for "bad" codes), can correct all errors with certainty if the error rate per qubit is sufficiently small. We specifically analyze the case of LDPC version of the quantum hypergraph-product codes recently suggested by Tillich and Z\'emor. These codes are a finite-rate generalization of the toric codes, and, for sufficiently large quantum computers, offer an advantage over the toric codes.
Synthetic non-Abelian anyons in fractional Chern insulators and beyond

Xiaoliang Qi Stanford University
October 26, 2012

PIRSA:12100051
Condensed Matter
An exciting new prospect in condensed matter physics is the possibility of realizing fractional quantum Hall states in simple lattice models without a large external magnetic field, which are called fractional Chern insulators. A fundamental question is whether qualitatively new states can be realized on the lattice as compared with ordinary fractional quantum Hall states. Here we propose new symmetry-enriched topological states, topological nematic states, which are a dramatic consequence of the interplay between the lattice translational symmetry and topological properties of these fractional Chern insulators. The topological nematic states are realized in a partially filled flat band with a Chern number N, which can be mapped to an N-layer quantum Hall system on a regular lattice. However, in the topological nematic states the lattice dislocations become non-Abelian defects which create "worm holes" connecting the effective layers, and effectively change the topology of the space. Such topology-changing defects, which we name as "genons", can also be defined in other physical systems. We develop methods to compute the projective non-abelian braiding statistics of the genons, and we find the braiding is given by adiabatic modular transformations, or Dehn twists, of the topological state on the effective genus g surface. We find situations where the > genons have quantum dimension 2 and can be used for universal topological quantum computing (TQC), while the host topological state is by itself non-universal for TQC.
Quantum Field Theory - Lecture 14B

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 26, 2012

PIRSA:12100075
High Energy Physics
Condensed Matter - Lecture 14

Assa Auerbach Technion – Israel Institute of Technology
October 26, 2012

PIRSA:12100039
Condensed Matter
Quantum Field Theory - Lecture 14A

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 26, 2012

PIRSA:12100021
High Energy Physics
Effective field theory framework in QG
- Xavier Calmet University of Sussex
- Roberto Percacci SISSA International School for Advanced Studies
- Astrid Eichhorn Universität Heidelberg
- Martin Reuter Johannes Gutenberg University Mainz
October 25, 2012

PIRSA:12100121
General Relativity & Quantum Cosmology
Gravity Induced Grand Unification
Motivated by the lack of evidence for physics beyond the Standard Model in the TeV region, we discussed an alternative path for grand unification. We show that simple grand unification models based on e.g. SU(5) can work successfully even without low scale supersymmetry. In particular quantum gravitational effects could easily modify the unification conditions for the gauge and Yukawa couplings.
_____________________________

Testing the consistency of quantum gravity with low-energy properties of the standard model
Testing quantum gravity is possible by using, e.g. the available data on the properties of the standard model. I will discuss how a parameterisation of quantum gravity fluctuations in terms of metric fluctuations can be used to test the compatibility of quantum gravity with the observed low-energy properties of the standard model, such as the existence of fermions with masses much below the Planck mass.
______________________________

The Asymptotic Safety program
The effective average action approach to Quantum Einstein Gravity (QEG) is discussed as a natural framework for exploring the scale dependent Riemannian geometry and multifractal micro-structure of the effective spacetimes predicted by QEG. Their fractal properties are related to the functional RG flow on theory space, and the special role of the running cosmological constant is emphasized. The prospects of an experimental verification will also be discussed.
Experimental tests of CPT symmetry

Antonio Di Domenico Sapienza University of Rome

October 25, 2012

PIRSA:12100120

The three discrete symmetries of Quantum Mechanics, charge conjugation, parity, and time reversal, are all violated, singly or in pairs. CPT is the only combination of these symmetries which appears to be conserved in Nature. Even though this result is in agreement with the well known CPT theorem, that holds for standard quantum field theories, CPT violation in some cases might be expected and justified in the framework of a quantum theory of gravity. Here the last and more refined experimental searches for CPT violation effects will be reported with a special focus on the tests performed on neutral meson systems and the interplay between CPT symmetry and the basic principles of Quantum Mechanics. No deviation from the expectations of CPT symmetry and quantum mechanics is observed, while the precision of the measurements, in some cases, reaches the interesting Planck scale region. Finally, prospects for this kind of experimental studies will be presented.
Kicking Chameleons: Early Universe Challenges for Chameleon Gravity

Adrienne Erickcek University of North Carolina at Chapel Hill
October 25, 2012

PIRSA:12100125
Astrophysics
Chameleon gravity is a scalar-tensor theory that mimics general relativity in the Solar System. The scalar degree of freedom is hidden in high-density environments because the effective mass of the chameleon scalar depends on the trace of the stress-energy tensor. In the early Universe, when the trace of the stress-energy tensor is nearly zero, the chameleon is very light and Hubble friction prevents it from reaching its potential minimum. Whenever a particle species becomes non-relativistic, however, the trace of the stress-energy tensor is temporarily nonzero, and the chameleon begins to roll. I will show that these "kicks" to the chameleon field have catastrophic consequences for chameleon gravity. The velocity imparted to the chameleon is sufficiently large that the chameleon's mass changes rapidly as it slides past its potential minimum. This nonadiabatic process shatters the chameleon field by generating extremely high-energy perturbations, casting doubt on chameleon gravity's viability as an alternative to general relativity.
Quantum Field Theory - Lecture 13B

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 25, 2012

PIRSA:12100074
High Energy Physics
Condensed Matter - Lecture 13

Assa Auerbach Technion – Israel Institute of Technology
October 25, 2012

PIRSA:12100038
Condensed Matter
Quantum Gravity and the Weak Interactions
- Lee Smolin Perimeter Institute for Theoretical Physics
- Xavier Calmet University of Sussex
- Stephon Alexander Brown University
- Daniel Litim University of Sussex
- Doug Gingrich University of Alberta
- Dejan Stojkovic State University of New York (SUNY)
October 25, 2012

PIRSA:12100116
General Relativity & Quantum Cosmology
Quantum Gravity and the Weak Interactions
__________________________________

Non-thermal quantum black holes
Motivated by the lack of evidence for physics beyond the Standard Model in the TeV region, we discussed an alternative path for grand unification. We show that simple grand unification models based on e.g. SU(5) can work successfully even without low scale supersymmetry. In particular quantum gravitational effects could easily modify the unification conditions for the gauge and Yukawa couplings.
__________________________________

Searches for Nonperturbative Gravitational States at the LHC
Searches for black holes and string balls have recently be performed by LHC experiments. Upper limits have been placed on the production crosssections time experimental acceptance. Hard-disk production of thesestates have been ruled out over most of the current LHC energy reach.However the LHC has said little about nonperturbative states producedin model with reduced cross sections. I will discuss some popularmodels that have not yet been ruled out by the LHC experiments.
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Models of new physics beyond the Standard Model of Particle Physics
Models of new physics beyond the Standard Model of Particle Physics suggest that the quantum scale of gravity could be as low as the electro-weak or TeV energy scale. If so, they offer the exciting possibility that quantum gravity becomes accessible, experimentally, at particle colliders such as the LHC. From the theory side, low-scale gravity scenarios often require extra dimensions, or a large number of additional particle species.
I propose to discuss the possibility for signatures of low-scale quantum gravity, the feasibility of concrete (quantitative) predictions based on eg. specific processes and quantum gravity set-ups, and options for experimental tests.
__________________________________

Unification of gravity with the electroweak interactions
Experimental search for quantum gravity - the hard facts

Hugo Beauchemin University of Oxford
October 25, 2012

PIRSA:12100115
General Relativity & Quantum Cosmology
The LHC has been running for over 2 years and the different experiments have accumulated enough data to find a new particle which could well be the Higgs boson, achieve Standard Model measurements with precision at the percent level, and seriously constrain a large variety of new physics scenarios, giving important hints on what the physics beyond the Standard Model can be and what it cannot be. This presentation will focus on ATLAS and CMS latest searches for new physics in events featuring signatures relevant to theories of quantum gravity. Will be presented the results on searches for large extra dimensions (direct graviton emission, virtual graviton propagation, Kaluza-Klein Randall-Sundrum resonances, etc.) and other TeV-scale gravity phenomena such as black holes (rotating and non-rotating) and string balls production and decay. Results will be reported on each of the various final states investigated for each signals. The results of some searches that are not typically interpreted into bounds on quantum gravity signals, but which could provide complementary information such as the number of possible matter fields compatible with LHC data will also be presented. An attempt to present plausible future reach of the LHC will finally be briefly discussed.

Title	Date	Collection	Type	Info
Fault tolerance of "bad" quantum low-density parity check codes	2012‑10‑29	Perimeter Institute Quantum Discussions	Scientific Series	View details
Synthetic non-Abelian anyons in fractional Chern insulators and beyond	2012‑10‑26	Quantum Matter	Scientific Series	View details
Quantum Field Theory - Lecture 14B	2012‑10‑26	12/13 PSI - Quantum Field Theory 1	Course	View details
Condensed Matter - Lecture 14	2012‑10‑26	12/13 PSI - Condensed Matter	Course	View details
Quantum Field Theory - Lecture 14A	2012‑10‑26	12/13 PSI - Quantum Field Theory 1	Course	View details
Effective field theory framework in QG	2012‑10‑25	Experimental Search for Quantum Gravity 2012	Conference	View details
Experimental tests of CPT symmetry	2012‑10‑25	Experimental Search for Quantum Gravity 2012	Conference	View details
Kicking Chameleons: Early Universe Challenges for Chameleon Gravity	2012‑10‑25	Cosmology and Gravitation	Scientific Series	View details
Quantum Field Theory - Lecture 13B	2012‑10‑25	12/13 PSI - Quantum Field Theory 1	Course	View details
Condensed Matter - Lecture 13	2012‑10‑25	12/13 PSI - Condensed Matter	Course	View details
Quantum Gravity and the Weak Interactions	2012‑10‑25	Experimental Search for Quantum Gravity 2012	Conference	View details
Experimental search for quantum gravity - the hard facts	2012‑10‑25	Experimental Search for Quantum Gravity 2012	Conference	View details

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Format results

Fault tolerance of "bad" quantum low-density parity check codes

Synthetic non-Abelian anyons in fractional Chern insulators and beyond

Quantum Field Theory - Lecture 14B

Condensed Matter - Lecture 14

Quantum Field Theory - Lecture 14A

Effective field theory framework in QG

Experimental tests of CPT symmetry

Kicking Chameleons: Early Universe Challenges for Chameleon Gravity

Quantum Field Theory - Lecture 13B

Condensed Matter - Lecture 13

Quantum Gravity and the Weak Interactions

Experimental search for quantum gravity - the hard facts

Fault tolerance of "bad" quantum low-density parity check codes

Synthetic non-Abelian anyons in fractional Chern insulators and beyond

Quantum Field Theory - Lecture 14B

Condensed Matter - Lecture 14

Quantum Field Theory - Lecture 14A

Effective field theory framework in QG

Experimental tests of CPT symmetry

Kicking Chameleons: Early Universe Challenges for Chameleon Gravity

Quantum Field Theory - Lecture 13B

Condensed Matter - Lecture 13

Quantum Gravity and the Weak Interactions

Experimental search for quantum gravity - the hard facts