Non-Gaussian photonic state engineering with the quantum frequency processor

Abstract

Non-Gaussian quantum states of light are critical resources for optical quantum information processing, but methods to generate them efficiently remain challenging to implement. Here we introduce a generic approach for non-Gaussian state production from input states populating discrete frequency bins. Based on controllable unitary operations with a quantum frequency processor, followed by photon-number-resolved detection of ancilla modes, our method combines recent developments in both frequency-based quantum information and non-Gaussian state preparation. Leveraging and refining the K-function representation of quantum states in the coherent basis, we develop a theoretical model amenable to numerical optimization and, as specific examples, design quantum frequency processor circuits for the production of Schrödinger cat states, exploring the performance tradeoffs for several combinations of ancilla modes and circuit depth. Our scheme provides a valuable general framework for producing complex quantum states in frequency bins, paving the way for single-spatial-mode, fiber-optic-compatible non-Gaussian resource states.

14 pages and 4 figures

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Cited by in corpus (8)

• High-dimensional discrete Fourier transform gates with the quantum frequency processor
• Characterization of Quantum Frequency Processors
• Design Methodologies for Integrated Quantum Frequency Processors
• Taming numerical errors in simulations of continuous variable non-Gaussian state preparation
• Ultrafast electro-optic Time-Frequency Fractional Fourier Imaging at the Single-Photon Level
• Exploring the possibility of a complex-valued non-Gaussianity measure for quantum states of light
• Developing a practical model for noise in entangled photon detection
• A paradigm for universal quantum information processing with integrated acousto-optic frequency beamsplitters