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
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Cited by in corpus (2)

• Rare Earth Ions Doped Mixed Crystals for Fast Quantum Computers with Optical Frequency Qubits
• Spontaneous emission dynamics of $E{u}^{3+}$ ions coupled to hyperbolic metamaterials