Probing quantum walks through coherent control of high-dimensionally\n entangled photons Article Swipe
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· 2019
· Open Access
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· DOI: https://doi.org/10.48550/arxiv.1911.04369
· OA: W4288025847
Quantum walks in atomic systems, owing to their continuous nature, are\nespecially well-suited for the simulation of many-body physics and can\npotentially offer an exponential speedup in solving certain black box problems.\nPhotonics offers an alternate route to simulating such nonclassical behavior in\na more robust platform. However, in photonic implementations to date, an\nincrease to the depth of a continuous quantum walk requires modifying the\nfootprint of the system. Here we report continuous walks of a two-photon\nquantum frequency comb with entanglement across multiple dimensions. The\ncoupling between frequency modes is mediated by electro-optic phase modulation,\nwhich makes the evolution of the state completely tunable over a continuous\nrange. With arbitrary control of the phase across different modes, we\ndemonstrate a rich variety of behavior: from walks exhibiting ballistic\ntransport or strong energy confinement, to subspaces featuring bosonic or\nfermionic character. We also explore the role of entanglement dimensionality\nand demonstrate biphoton energy bound states, which are only possible with\nmultilevel entanglement. This suggests the potential for such walks to quantify\nentanglement in high-dimensional systems.\n