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Simulating Hamiltonian evolution with quantum computers

Richard Cleve Institute for Quantum Computing (IQC)
October 16, 2013

PIRSA:13100097
Quantum Information
13/14 PSI - Statistical Mechanics - Lecture 7

Anton Burkov University of Waterloo

October 16, 2013

PIRSA:13100053
Topics in QFT on Flat and Curved Spacetimes - Lecture 8

Ugo Moschella University of Insubria

October 16, 2013

PIRSA:13100017
General Relativity for Cosmology - Lecture 8

Achim Kempf University of Waterloo

October 15, 2013

PIRSA:13100105
General Relativity for Cosmology - Lecture 7

Achim Kempf University of Waterloo

October 15, 2013

PIRSA:13100003
13/14 PSI - Quantum Field Theory I - Lecture 6

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 15, 2013

PIRSA:13100028
Can ‘sub-quantum’ theories based on a background field escape Bell’s no-go theorem ?

Louis Vervoort Université de Montréal
October 15, 2013

PIRSA:13100085
Quantum Foundations
Geometry of quantum phases and emergent Newtonian dynamics

Anatoli Polkovnikov Boston University
October 15, 2013

PIRSA:13100083
Condensed Matter
Bootstrapping the O(N) Vector Models

David Simmons-Duffin Institute for Advanced Study (IAS)
October 15, 2013

PIRSA:13100074
Quantum Fields and Strings
Including astroparticle observables in global fits to new physics scenarios

Patrick Scott McGill University
October 15, 2013

PIRSA:13100103
Particle Physics
Hybrid quantization of the Gowdy model within loop quantum cosmology

Mercedes Martin-Benito Complutense University of Madrid
October 15, 2013

PIRSA:13100102
Cosmology
13/14 PSI - Statistical Mechanics - Lecture 6

Anton Burkov University of Waterloo

October 15, 2013

PIRSA:13100050

Simulating Hamiltonian evolution with quantum computers

Richard Cleve Institute for Quantum Computing (IQC)
October 16, 2013

PIRSA:13100097
Quantum Information
In 1982, Richard Feynman proposed the concept of a quantum computer as a means of simulating physical systems that evolve according to the Schrödinger equation. I will explain various quantum algorithms that have been proposed for this simulation problem, including my recent work (jointly with Dominic Berry and Rolando Somma) that significantly improves the running time as a function of the precision of the output data.
13/14 PSI - Statistical Mechanics - Lecture 7

Anton Burkov University of Waterloo

October 16, 2013

PIRSA:13100053
Topics in QFT on Flat and Curved Spacetimes - Lecture 8

Ugo Moschella University of Insubria

October 16, 2013

PIRSA:13100017
General Relativity for Cosmology - Lecture 8

Achim Kempf University of Waterloo

October 15, 2013

PIRSA:13100105
General Relativity for Cosmology - Lecture 7

Achim Kempf University of Waterloo

October 15, 2013

PIRSA:13100003
13/14 PSI - Quantum Field Theory I - Lecture 6

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 15, 2013

PIRSA:13100028
Can ‘sub-quantum’ theories based on a background field escape Bell’s no-go theorem ?

Louis Vervoort Université de Montréal
October 15, 2013

PIRSA:13100085
Quantum Foundations
In systems described by Ising-like Hamiltonians, such as spin-lattices, the Bell Inequality can be strongly violated. Surprisingly, these systems are both local and non-superdeterministic. They are local, because 1) they include only local, near-neighbor interaction, 2) they satisfy, accordingly, the Clauser-Horne factorability condition, and 3) they can violate the Bell Inequality also in dynamic Bell experiments. Starting from this result we construct an elementary hidden-variable model, based on a generalized Ising Hamiltonian, describing the interaction of the Bell-particles with a stochastic ‘background’ medium. We suggest that such a model is a simple version of a variety of recently developed ‘sub-quantum’ theories, by authors as Nelson, Adler, De la Pena, Cetto, Groessing, Khrennikov, all based on a background field. We investigate how the model might be turned into a realistic theory. Finally, it appears that background-based models can be tested and discriminated from quantum mechanics by a straightforward extension of existing experiments.
Geometry of quantum phases and emergent Newtonian dynamics

Anatoli Polkovnikov Boston University
October 15, 2013

PIRSA:13100083
Condensed Matter
In the first part of this talk I will discuss how one can characterize geometry of quantum phases and phase transitions based on the Fubini-Study metric, which characterizes the distance between ground state wave-functions in the external parameter space. This metric is closely related to the Berry curvature. I will show that there are new geometric invariants based on the Euler characteristic. I will also show how one can directly measure this metric tensor in simple dynamical experiments. In the second part of the talk I will discuss emergent nature of macroscopic equations of motion (like Newton's equations) showing that they appear in the leading order of non-adiabatic expansion. I will show that the Berry curvature gives the Coriolis force and the Fubini-Study metric tensor is closely related to the inertia mass. Thus I will argue that any motion (not necessarily motion in space) is geometrical in nature.
Bootstrapping the O(N) Vector Models

David Simmons-Duffin Institute for Advanced Study (IAS)
October 15, 2013

PIRSA:13100074
Quantum Fields and Strings
We study the conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N) singlet and symmetric tensor operators appearing in the \phi_i x \phi_j OPE, where \phi_i is a fundamental of O(N). Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find strong numerical evidence that the O(N) vector models saturate the bootstrap constraints at all values of N. We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N) vector models. We compare our predictions to previous computations in the 1/N expansion, finding precise agreement at large values of N.
Including astroparticle observables in global fits to new physics scenarios

Patrick Scott McGill University
October 15, 2013

PIRSA:13100103
Particle Physics
Searches for physics beyond the standard model come in many forms, from terrestrial probes to astroparticle experiments and cosmological observations. Efforts to combine multiple search channels in 'global fits' to new physics scenarios typically consider only a subset of the available channels. Astroparticle searches in particular are usually only included in a very approximate way, if at all. In this talk I will review recent progress in including detailed gamma-ray, neutrino and CMB searches for dark matter in global fits. I will also preview some of the future developments and challenges in this field, where the applicability of global fits will move well beyond the small range of constrained supersymmetric models they have so far mostly been applied to.
Hybrid quantization of the Gowdy model within loop quantum cosmology

Mercedes Martin-Benito Complutense University of Madrid
October 15, 2013

PIRSA:13100102
Cosmology
Loop quantum cosmology (LQC) proposes a quantization for homogeneous cosmologies which success in solving the classical singularity problem. Realistic scenarios call for the consideration of inhomogeneities. Focusing on the simplest inhomogenous cosmological model, the Gowdy model with three-torus spatial topology and linearly polarized gravitational waves, I'll describe an approach to treat inhomogeneities in the framework of loop quantum cosmology. This is a hybrid approach that combines LQC methods with Fock quantization. Furthermore, I'll discuss justified approximations that allow us to find approximate solutions to the (very complicated) Hamiltonian constraint of the model.
13/14 PSI - Statistical Mechanics - Lecture 6

Anton Burkov University of Waterloo

October 15, 2013

PIRSA:13100050

Title	Date	Collection	Type	Info
Simulating Hamiltonian evolution with quantum computers	2013‑10‑16	Colloquium	Scientific Series	View details
13/14 PSI - Statistical Mechanics - Lecture 7	2013‑10‑16	13/14 PSI - Statistical Mechanics	Course	View details
Topics in QFT on Flat and Curved Spacetimes - Lecture 8	2013‑10‑16	Topics in QFT on Flat and Curved Spacetimes	Course	View details
General Relativity for Cosmology - Lecture 8	2013‑10‑15	General Relativity for Cosmology - 2013	Course	View details
General Relativity for Cosmology - Lecture 7	2013‑10‑15	General Relativity for Cosmology - 2013	Course	View details
13/14 PSI - Quantum Field Theory I - Lecture 6	2013‑10‑15	13/14 PSI - Quantum Field Theory I	Course	View details
Can ‘sub-quantum’ theories based on a background field escape Bell’s no-go theorem ?	2013‑10‑15	Quantum Foundations	Scientific Series	View details
Geometry of quantum phases and emergent Newtonian dynamics	2013‑10‑15	Quantum Matter	Scientific Series	View details
Bootstrapping the O(N) Vector Models	2013‑10‑15	Quantum Fields and Strings	Scientific Series	View details
Including astroparticle observables in global fits to new physics scenarios	2013‑10‑15	Particle Physics	Scientific Series	View details
Hybrid quantization of the Gowdy model within loop quantum cosmology	2013‑10‑15	Cosmology and Gravitation	Scientific Series	View details
13/14 PSI - Statistical Mechanics - Lecture 6	2013‑10‑15	13/14 PSI - Statistical Mechanics	Course	View details

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