Quantum Error Correction with magnetic molecules
1 Instituto de Ciencia Molecular (ICMol), Universidad de Valencia - Catedrático José Beltrán 2, 46980 Paterna, Spain
2 Physics Department, Trinity College - Dublin 2, Ireland
Received: 27 January 2015
Accepted: 20 April 2015
Quantum algorithms often assume independent spin qubits to produce trivial , mappings. This can be unrealistic in many solid-state implementations with sizeable magnetic interactions. Here we show that the lower part of the spectrum of a molecule containing three exchange-coupled metal ions with and is equivalent to nine electron-nuclear qubits. We derive the relation between spin states and qubit states in reasonable parameter ranges for the rare earth Tb3+ and for the transition metal Cu2+, and study the possibility to implement Shor's Quantum Error Correction code on such a molecule. We also discuss recently developed molecular systems that could be adequate from an experimental point of view.
PACS: 33.15.Kr – Electric and magnetic moments (and derivatives), polarizability, and magnetic susceptibility / 33.35.+r – Electron resonance and relaxation / 03.67.Pp – Quantum error correction and other methods for protection against decoherence
© EPLA, 2015