Quantum Error Correction with magnetic molecules

Abstract

Quantum algorithms often assume independent spin qubits to produce trivial $|\uparrow ⟩=|0⟩$, $|\downarrow ⟩=|1⟩$ 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 $S=1/2$ and $I=1/2$ 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 ${}^{159}$Tb${}^{3+}$ and for the transition metal Cu${}^{2+}$, 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.

5 pages, 3 figures, 2 tables

References in corpus (2)

• Hybrid solid state qubits: the powerful role of electron spins
• Coupling of a locally implanted rare-earth ion ensemble to a superconducting micro-resonator

Cited by in corpus (1)

• Three addressable spin qubits in a molecular single-ion magnet