Quantum processing with ensembles of rare earth ions in a stoichiometric crystal

Abstract

We describe a method for creating small quantum processors in a crystal stoichiometric in an optically active rare earth ion. The crystal is doped with another rare earth, creating an ensemble of identical clusters of surrounding ions, whose optical and hyperfine frequencies are uniquely determined by their spatial position in the cluster. Ensembles of ions in each unique position around the dopant serve as qubits, with strong local interactions between ions in different qubits. These ensemble qubits can each be used as a quantum memory for light, and we show how the interactions between qubits can be used to perform linear operations on the stored photonic state. We also describe how these ensemble qubits can be used to enact, and study, error correction.

13 pages, 4 figures

References in corpus (8)

• Optical Quantum Computing
• Distributed Quantum Computation Based-on Small Quantum Registers
• Entanglement purification and quantum error correction
• Topological quantum computing with a very noisy network and local error rates approaching one percent
• Coherent properties of single rare-earth spin qubits
• Experimental quantum state tomography of a solid state qubit
• Experimental demonstration of spinor slow light
• Measuring and Suppressing Error Correlations in Quantum Circuits

Cited by in corpus (12)

• High connectivity quantum processor nodes using single-ion-qubits in rare-earth-ion-doped crystals
• Optical coherence properties of Kramers' rare-earth ions at the nanoscale for quantum applications
• Rare Earth Ions Doped Mixed Crystals for Fast Quantum Computers with Optical Frequency Qubits
• Synthesis of Eu(HCOO)${}_3$ and Eu(HCOO)${}_3\cdot$(HCONH${}_2$)${}_2$ crystals and observation of their ${}^5$D${}_0{\to }^7$F${}_0$ transition for quantum information systems
• Broadband Quantum Memory in Atomic Ensembles
• Spontaneous emission dynamics of $E{u}^{3+}$ ions coupled to hyperbolic metamaterials
• Optical and Zeeman spectroscopy of individual Er ion pairs in silicon
• Microscopic treatment of instantaneous spectral diffusion and its effect on quantum gate fidelities in rare-earth-ion-doped crystals
• Complete crystal field calculation of Zeeman-hyperfine splittings in europium
• Quantum error correction in the NISQ regime for sequential quantum computing
• Microscopic model of spin flip-flop processes in rare-earth-ion-doped crystals
• Designing gate operations for single ion quantum computing in rare-earth-ion-doped crystals