472 citations · 2.2k across the 40 of their papers we have counts for
11 papers · 1 filter
Robustness of Aharonov-Bohm cages in quantum walks
Hugo Perrin, Jean-Noël Fuchs, Rémy Mosseri
It was recently shown that Aharonov-Bohm (AB) cages exist for quantum walks (QW) on certain tilings -- such as the diamond chain or the dice (or ) lattice -- for a p…
Tunable Aharonov-Bohm-like cages for quantum walks
Hugo Perrin, Jean-Noël Fuchs, Rémy Mosseri
Aharonov-Bohm cages correspond to an extreme confinement for two-dimensional tight-binding electrons in a transverse magnetic field. When the dimensionless magnetic flux per plaque…
Entanglement in the symmetric sector of qubits
P. Ribeiro, R. Mosseri
We discuss the entanglement properties of symmetric states of qubits. The Majorana representation maps a generic such state into a system of points on a sphere. Entanglemen…
Dynamical properties across a quantum phase transition in the Lipkin-Meshkov-Glick model
Paolo Solinas, Pedro Ribeiro, Rémy Mosseri
It is of high interest, in the context of Adiabatic Quantum Computation, to better understand the complex dynamics of a quantum system subject to a time-dependent Hamiltonian, when…
Geometrical approach to SU(2) navigation with Fibonacci anyons
Remy Mosseri
Topological quantum computation with Fibonacci anyons relies on the possibility of efficiently generating unitary transformations upon pseudoparticles braiding. The crucial fact th…
Adiabatic Computation - A Toy Model
P. Ribeiro, R. Mosseri
We discuss a toy model for adiabatic quantum computation which displays some phenomenological properties expected in more realistic implementations. This model has two free paramet…
Aperiodic Quantum Random Walks
Pedro Ribeiro, Perola Milman, Remy Mosseri
We generalize the quantum random walk protocol for a particle in a one-dimensional chain, by using several types of biased quantum coins, arranged in aperiodic sequences, in a mann…
Geometric Approach to Digital Quantum Information
Chad Rigetti, Remy Mosseri, Michel Devoret
We present geometric methods for uniformly discretizing the continuous N-qubit Hilbert space. When considered as the vertices of a geometrical figure, the resulting states form the…
Two and Three Qubits Geometry and Hopf Fibrations
Remy Mosseri
This paper reviews recent attempts to describe the two- and three-qubit Hilbert space geometries with the help of Hopf fibrations. In both cases, it is shown that the associated Ho…
Topological phase for entangled two-qubit states
P. Milman, R. Mosseri
We present an unambiguous characterization of the rotation group SO(3) biconnectedness topology using two-qubit maximally entangled states. We show how to generate cyclic evolution…
Geometry of entangled states, Bloch spheres and Hopf fibrations
R. Mosseri, R. Dandoloff
We discuss a generalization to 2 qubits of the standard Bloch sphere representation for a single qubit, in the framework of Hopf fibrations of high dimensional spheres by lower dim…