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TOPOLOGICAL QUANTUM INFORMATION PROCESSING

Objective

The primary objective of our project is to achieve a deeper theoretical understanding and the practical realization of topologically stabilized quantum information processors.
The proposed research action is designed in order to successfully achieve the following basic objectives:
a) Development a broad mathematical as well as physical framework for the use of quantum holonomies to the aim of quantum information processing;
b) The notion of geometric quantum phase will have to be extended to the realm of mixed quantum states and to general completely positive operations;
c) Creation and manipulation of abelian and non-abelian anyons in ultra cold gases of bosonic atoms;
d) Study of the effect of dissipation and decoherence on geometric interferometry (both abelian and non abelian) with Josephson nanostructures.

The primary objective of our project is to achieve a deeper theoretical understanding and the practical realization of topologically-stabilized quantum information processors.
The proposed research action is designed in order to successfully achieve the following basic objectives:
a) Development a broad mathematical as well as physical framework for the use of quantum holonomies to the aim of quantum information processing;
b) The notion of geometric quantum phase will have to be extended to the realm of mixed quantum states and to general completely positive operations;
c) Creation and manipulation of abelian and non-abelian anyons in ultra cold gases of bosonic atoms;
d) Study of the effect of dissipation and decoherence on geometric interferometry (both abelian and non abelian) with Josephson nano-structures.

DESCRIPTION OF WORK
Our workplan has been subdivided in five strongly interconnected workpackages:
1) Holonomic Quantum Computation: theoretical developments. We plan to investigate the relation existing between quantum information processing based on abelian as well as non-abelian holonomies and the above-mentioned topological approaches. We will address the problem of the design of optimal (maximal topological content) non-abelian connections;
2) Geometric and Topological Phases and Mixed State: We intend to generalize the notion of geometric to the mixed state case defining a geometric phase operator whose expectation value gives the magnitude of the geometric phase. The geometric phase result then defined for the most general completely positive trace preserving evolution;
3) Anyons with cold atomic gases. Theoretical investigation of how to create and manipulate abelian and non-abelian anyons in ultracold gases of bosonic atoms: We will study how to manipulate these anyonic quasi-particles with lasers in order to perform elementary fault-tolerant quantum gates;
4) Topological quantum computation with Josephson nano-structures: We will develop a scheme to implement a complete set of gates based on non abelian phases in coupled josephson junction devices. We will perform detailed study of the effect of all decoherence processes in this specific systems, as well as the identify the optimal coupling strategy.

Funding Scheme

CSC - Cost-sharing contracts

Coordinator

FONDAZIONE ISTITUTO PER L'INTERSCAMBIO SCIENTIFICO
Address
Viale Settimio Severo 65
10133 Torino
Italy

Participants (4)

IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE
United Kingdom
Address
South Kensington Campus
SW7 2AZ London
ISTITUTO NAZIONALE PER LA FISICA DELLA MATERIA
Italy
Address
Corso F. Perrone 24
16152 Genova
MAX-PLANCK GESELLSCHAFT ZUR FOERDERUNG DER WISSENSCHAFTEN E.V.
Germany
Address
Hofgartenstrasse 8
80539 Muenchen
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
United Kingdom
Address
The Old Schools, Trinity Lane
CB2 1TN Cambridge