Quantum Control through Optical Nonlinearities for Error Corrected One-way Quantum Repeaters

The use of exclusively optical modes for quantum communication and quantum computing is intriguing due to its potential to work at room temperatures. However, restricting architectures to only optical modes (i.e. quantum harmonic oscillators with simple couplings), leaves very few knobs available for the control of such systems. We present how the couplings between multiple optical modes, mediated by material nonlinearities, enable the performance of error correction and logical operations for a number of small bosonic error correcting codes. This high level of control is achieved through designing arbitrary pulse shapes for the classical laser light used to trigger the resonant nonlinear interaction between multiple quantum modes. This would enable one-way quantum repeaters with error correction and is a necessary step for room-temperature quantum photonic information processing.