Hannover 2013 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 41: Quantum information: Concepts and methods III
Q 41.4: Vortrag
Mittwoch, 20. März 2013, 15:00–15:15, E 214
Robustness of quantum memories based on Majorana zero modes — Leonardo Mazza1,2, •Matteo Rizzi1,3, Mikhail Lukin4, and Ignacio Cirac1 — 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany — 2Scuola Normale Superiore, piazza dei Cavalieri 7, I-56127, Pisa, Italy — 3Institut für Physik, Johannes-Gutenberg-Universität Mainz, Staudingerweg 7, D-55128 Mainz, Germany — 4Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA
We analyze the quantum memory based on a Kitaev chain containing Majorana zero modes in the presence of perturbations. We first derive a closed expression for the fidelity of the best recovery operation acting on the memory after the storage time and aimed at retrieving the initial encoded information. We then apply it to study the robustness of the memory to Hamiltonian (time-dependent) perturbations, as well as to particle losses. In the first case, the memory time grows exponentially with the system size only when the perturbed Hamiltonian is within the topological phase, and even if the perturbation contains frequencies that lie well above the gap. At the same time, the memory is unstable to particle losses.