A heterometallic [LnLn′Ln] lanthanide complex as a qubit with embedded quantum error correction
We show that a [Er–Ce–Er] molecular trinuclear coordination compound is a promising platform to implement the three-qubit quantum error correction code protecting against pure dephasing, the most important error in magnetic molecules. We characterize it by preparing the [Lu–Ce–Lu] and [Er–La–Er] analogues, which contain only one of the two types of qubit, and by combining magnetometry, low-temperature specific heat and electron paramagnetic resonance measurements on both the elementary constituents and the trimer. Using the resulting parameters, we demonstrate by numerical simulations that the proposed molecular device can efficiently suppress pure dephasing of the spin qubits. ; This work has received funding from the European Union's Horizon 2020 research and innovation programme (ERC Starting Grant 258060 FuncMolQIP, COST Action 15128 MOLSPIN, QUANTERA project SUMO, FET-OPEN grant 862893 FATMOLS), the Spanish MICINN (grants CTQ2015-68370-P, CTQ2015-64486-R, RTI2018-096075-B-C21, PCI2018-093116, PGC2018-098630-B-I00, MAT2017-86826-R), the Gobierno de Aragón (grants E09-17R-Q-MAD, and PLATON E31_17R), the Generalitat de Catalunya (ICREA Academia 2018 to GA), and from the Italian Ministry of Education and Research (MIUR) through the co-funding of SUMO and through the PRIN Project 2015 HYFSRT "Quantum Coherence in Nanostructures of Molecular Spin Qubits". Institució Catalana de Recerca I Estudis Avançats: ICREA Academia Prize 2018. ; Peer reviewed