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Holonomic Quantum Computation with Josephson Networks
Author(s) -
Siewert J.,
Faoro L.,
Fazio R.
Publication year - 2002
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200210)233:3<490::aid-pssb490>3.0.co;2-j
Subject(s) - holonomic , josephson effect , quantum computer , computation , physics , quantum , quantum gate , quantum network , mesoscopic physics , universal set , charge (physics) , topology (electrical circuits) , quantum mechanics , set (abstract data type) , computer science , mathematics , algorithm , superconductivity , combinatorics , programming language
It is well known that it is possible to build quantum gates based entirely on the action of geometric phases. This approach is called holonomic quantum computation. Here we show that it is possible to generate and detect non‐Abelian geometric phases in the charge dynamics of a network of mesoscopic Josephson junctions. The scheme can be used to realize a universal set of quantum gates.