More generally, the meeting will also encompass themes such as:
- quantum walks
- quantum cellular automata
- quantum lattice Boltzmann theory
- quantum simulation of relativistic particles
- causality and relativity in quantum information
- toy models
[ invited speakers ]
The following speakers have confirmed their participation:
- Fabrice Debbasch (UPMC, Paris, France)
- "Discrete time quantum walks: wave propagation and diffusive transport" [click to read Abstract]
- Alessandro Bisio (Università di Pavia, Pavia, Italy) SLIDES
- "A Quantum Cellular Automata approach to Quantum Field Theory"
- Sauro Succi (University of Roma, Roma,Italy) SLIDES
- "An introduction to quantum lattice Boltzmann" [click to read Abstract]
- Miller Mendoza (ETH Zurich, Zwitzerland) SLIDES
- "Cooling of Quark-Gluon Plasma and Electronic Turbulence in Graphene: A Relativistic Lattice Kinetic Approach" [click to read Abstract]
The following speakers have confirmed their participation:
- Adrian Kosowski (INRIA Bordeaux, France) SLIDES
- "Exploration and Diffusion in Graphs using Deterministic Walks" [click to read Abstract]
- Juan León (
Instituto de Física Fundamental (CSIC), Madrid ) SLIDES
- "Local particles in QFT" [click to read Abstract]
- Jacob Biamonte (Quantum Physics Research Division, Torino, Italy)
- TBA
- Asif Shakeel (Haverford College, Haverford, PA, USA)
- "When is a Quantum Cellular Automaton a Quantum Lattice Gas Automaton?" [click to read Abstract]
- T.C. Farrelly (DAMTP Center for Mathematical Sciences, Cambridge, UK)
- "Discrete Spacetime and Relativistic Quantum Particles" [click to read Abstract]
- S. Facchini (Université de Grenoble, France) SLIDES
- "Quantum Walks for relativistic particles: convergence, decoupling"
- Alessandro Tosini (Università di Pavia, Pavia, Italy) SLIDES
- "The Fermionic Quantum theory" [click to read Abstract]
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At the end of Day 1 we wil have a tutorial talk: SLIDES
- Ideas for hotels in Grenoble: Hotel des Alpes, Hotel Ibis Grenoble Gare. You can find more choices in the website of the Grenoble tourism office, see here.
- The meeting will be held at the Campus Universitaire of Grenoble. To get to the Campus from the Train and Bus Station (Gare de Grenoble), you can take the tram ligne B (green; direction Gieres Plaine des Sports) to "Bibliotheques Universitaires", takes around 25min.For more details follow this link.
-
The talks will take place at the Maison Jean Kuntzmann, see the map following this link.
- Sauro Succi (University of Roma, Roma,Italy)
- "An introduction to quantum lattice Boltzmann"
- In this lecture we shall present the basic ideas behind the quantum
lattice Boltzmann scheme and discuss some recent applications, such as Bose Einstein condensation in random materials and electron transport in graphene. - Juan León ( Instituto de Física Fundamental (CSIC), Madrid )
- "Local particles in QFT"
- The goal of defining localized quanta and their
localization properties in quantum field theory has generated a large
debate ultimately leading to the far reaching question of whether QFT
describes particles or not. The sharpest criteria for localization is
that any state that is strictly localized within some region V of space
should produce the same expectation value as the vacuum state for any
local operator O(x) with x outside V.
Actually, it is impossible to construct such localized states using Fock states with any finite number of particles. Hence, the Fock states of QFT cannot be taken to represent particle states if we want them to be localized within some region of space.
In this talk we start from the existence of inequivalent representations of the algebra of observables in field theory to construct particle states satisfying localization properties and interpret them in terms of the standard Fock space states. - T.C. Farrelly (DAMTP Center for Mathematical Sciences, Cambridge, UK)
- "Discrete Spacetime and Relativistic Quantum Particles"
- Take a single quantum particle in discrete spacetime evolving in a causal way. We will see that in the continuum limit any massless particle with a two dimensional internal degree of freedom obeys the Weyl equation, provided that we perform a simple relabeling of the coordinate axes or demand rotational symmetry in the continuum limit. It is surprising that this occurs regardless of the specific details of the evolution: it would be natural to assume that discrete evolutions giving rise to relativistic dynamics in the continuum limit would be very special cases. We will also see that the same is not true for particles with larger internal degrees of freedom, by looking at an example with a three dimensional internal degree of freedom that is not relativistic in the continuum limit.
- Asif Shakeel (Haverford College, Haverford, PA, USA)
- "When is a Quantum Cellular Automaton a Quantum Lattice Gas Automaton?"
-
Quantum cellular automata (QCA) are models of quantum computation of particular interest from the point of view of quantum simulation. Quantum lattice gas automata (QLGA - equivalently partitioned quantum cellular automata) represent an interesting subclass of QCA. QLGA have been more deeply analyzed than QCA, whereas general QCA are likely to capture a wider range of quantum behavior. Discriminating between QLGA and QCA is therefore an important question. In spite of much prior work, classifying which QCA are QLGA has remained an open problem. We establish necessary and sufficient conditions for unbounded, finite QCA (finitely many active cells in a quiescent background) to be QLGA.
- Miller Mendoza (ETH Zurich, Zwitzerland)
- "Cooling of Quark-Gluon Plasma and Electronic Turbulence in Graphene: A Relativistic Lattice Kinetic Approach"
- Recently, relativistic kinetic theory has attracted considerable interest to study multiple phenomena in relativistic fluid dynamics due to the fact that the relativistic Navier-Stokes equations are, for many problems in astrophysics and high-energy physics, unstable. The lattice Boltzmann method (LBM) is based on the solution of a minimal Boltzmann kinetic equation rather than on the discretization of the equations of continuum fluid mechanics, and has been used as an alternative computational fluid dynamics method. In this talk, an LBM for relativistic fluids is presented and applied to different phenomena. We provide numerical evidence that the Richtmyer-Meshkov (RM) instability contributes to the cooling of the quark-gluon plasma, shortening its lifetime. In addition, we also show that electronic turbulent phenomena in graphene could be observed, under current experimental conditions, through current fluctuations, echoing the detachment of vortices past localized micron-sized impurities.
- Fabrice Debbasch (ETH Zurich, Zwitzerland)
- " Discrete time quantum walks: wave propagation and diffusive transport "
- I will focus on discrete time
quantum walks defined in one or two space dimensions, with a quantum
coin living in a two-dimensional Hilbert space. The walk is then
entirely defined by an operator in U(2) which depends
on 4 angles, and these are allowed to depend on both time and space.
I will first revisit the continuous limits of these walks. A systematic and mathematically rigorous limiting procedure will be introduced. It will be shown that the continuous limit, in most cases where it exists, is represented by a Dirac equation. The space-time dependence of the angles defining the walks transcribes into a coupling between the Dirac fermion and artificial gauge fields i.e. artificial electric, magnetic and gravitational field. This result opens up the possibility of performing laboratory experiments simulating relativistic charged spin 1/2 particles in arbitrary electromagnetic and
gravitational fields.
The second part of the talk will be devoted to quantum walks loosing quantum coherence because at least one of the angles defining the walk is chosen randomly at each time step. I will present analytical and numerical results on how these walks become classical as they lose coherence and are best approximated, in classical terms, by relativistic stochastic or diffusion processes.
The talk will end by my listing several open problems suggested by these results, highlighting in particular connections between quantum walks and geometry.
- Adrian Kosowski (INRIA Bordeaux, France)
- "Exploration and Diffusion in Graphs using Deterministic Walks"
- In a continuous diffusive process, a certain amount of a resource, known
as "load", is initially placed on the nodes of the graph, possibly in
an unfair manner. In successive time steps, each node shares its load
evenly among all its neighbors, until the load on the nodes of the graph
eventually converges to its limit distribution (e.g., becomes uniform
in the case of regular graphs). However, continuous diffusion cannot be
applied to "granular load" which is not arbitrarily divisible, i.e.,
represented by unsplittable unit-load tokens (chips), which are placed
on nodes and may be passed around the graph. In such a scenario, one
natural way of simulating the continuous diffusion process is to require
that each chip follows an independent random walk on the graph.
In this talk, we will instead focus on chip diffusion processes following rules which are both locally fair and deterministic. These rules include the so-called "rotor walk", in which chips are propagated by each node to its neighbors in round-robin fashion and, more broadly, rules in which each node attempts to send out roughly the same number of tokens through each of its outgoing arcs.- - Alessandro Tosini (Università di Pavia, Pavia, Italy)
- ""The Fermionic Quantum theory"
- In the last three decades the relation between fermions and quantum systems has been largely investigated both from the computational and from the physical point of view. We consider the problem taking fermionic modes as the elementary systems of an operational probabilistic theory. Assuming maps involving fields on a number of fermionic modes to be local on that modes (local here is intended in the operational sense with maps on different systems commuting) we derive the Wigner parity superselection rule. Within this perspective the probabilistic theory of fermionic modes, denoted Fermionic Quantum theory, can be regarded as the parity superselected version of the Quantum Theory of qubits where superpositions of states having an even and an odd particle number are forbidden. As a consequence of the parity superselection the Fermionic Quantum theory lacks two fundamental traits of Quantum Theory: the local discriminability of states and the monogamy of the entanglement.
[ call for participation ]
If you wish give a contribution talk about your results please send us an e-mail with your abstract, see [ contacts ].
Registration is free of charge but we kindly ask those willing to participate to send an e-mail to the organizers around the 31th of January for organization purposes. If you are interested please send an e-mail to any of us, see [ contacts ].
The schedule of the event is such that there will be enough time for many informal discussions. To see the tentative program please follow this link. The definitive program will be uploaded near January 20th.
Agence Nationale de la Recherche
ANR CausaQ grant: causality in quantum information.
If you have any further questions please ask any of us (see contacts below).
[ abstracts ]
Marcelo Forets <Marcelo.Forets@imag.fr>
Pablo Arrighi <pablo.arrighi@imag.fr>.
For information about Quantum Computation in Grenoble and the CAPP team follow this link.