Automatic generation of nonadiabatic conditional geometric phase shift with a noncoplanar fibre system
2006 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 73, no 1, 79-83 p.Article in journal (Refereed) Published
A new scheme for realizing a nonadiabatic conditional geometric phase shift via a noncoplanar (coiled) fibre system is presented. It is shown that the effective Hamiltonian that describes the interaction of polarized photons with a fibre medium is just the Wang-Matsumoto type of Hamiltonian. This, therefore, means that the coiled fibre system may be an ideal implementation for realizing the nonadiabatic geometric phase gates involved in the topological quantum computation. A remarkable feature of the present method is that it can automatically meet the conditions and requirements proposed in the Wang-Matsumoto nuclear magnetic resonance (NMR) scheme: specifically, (i) in the coiled fibre system, the dynamical phase of photon wavefunction caused by the interaction Hamiltonian automatically vanishes; (ii) the Wang-Matsumoto requirement for the parameters in the Wang-Matsumoto NMR Hamiltonian can be exactly satisfied automatically in such a fibre system; and (iii) the conditional initial state can be easily achieved by manipulating the initial wave vector of polarized photons.
Place, publisher, year, edition, pages
2006. Vol. 73, no 1, 79-83 p.
IdentifiersURN: urn:nbn:se:kth:diva-37617DOI: 10.1088/0031-8949/73/1/011ISI: 000236387700011ScopusID: 2-s2.0-33745497200OAI: oai:DiVA.org:kth-37617DiVA: diva2:434498