Spin-wave excitations in ensembles of atoms are gaining attention as a quantum information resource. However, current techniques with atomic spin waves do not achieve universal quantum information processing. We conduct a theoretical analysis of methods to create a high-capacity universal quantum processor and network node using an ensemble of laser-cooled atoms, trapped in a one-dimensional periodic potential and coupled to a ring cavity. We describe how to establish linear quantum processing using a lambda-scheme in a rubidium-atom system, calculate the expected experimental operational fidelities. Second, we derive an efficient method to achieve linear controllability with a single ensemble of atoms, rather than two-ensembles as proposed in [K. C. Cox et al. Spin-Wave Quantum Computing with Atoms in a Single-Mode Cavity, preprint 2021]. Finally, we propose to use the spin-wave processor for continuous-variable quantum information processing and present a scheme to generate large dual-rail cluster states useful for deterministic computing.\

}, url = {https://arxiv.org/abs/2109.15246}, author = {Kevin C. Cox and Przemyslaw Bienias and David H. Meyer and Donald P. Fahey and Paul D. Kunz and Alexey V. Gorshkov} } @article {2864, title = {Spin-Wave Quantum Computing with Atoms in a Single-Mode Cavity}, year = {2021}, month = {9/30/2021}, abstract = {We present a method for network-capable quantum computing that relies on holographic spin-wave excitations stored collectively in ensembles of qubits. We construct an orthogonal basis of spin waves in a one-dimensional array and show that high-fidelity universal linear controllability can be achieved using only phase shifts, applied in both momentum and position space. Neither single-site addressability nor high single-qubit cooperativity is required, and the spin waves can be read out with high efficiency into a single cavity mode for quantum computing and networking applications.\

}, url = {https://arxiv.org/abs/2109.15252}, author = {Kevin C. Cox and Przemyslaw Bienias and David H. Meyer and Paul D. Kunz and Donald P. Fahey and Alexey V. Gorshkov} }