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Generation of a non-separable two-qudit state using a time-frequency SUM operation

Poolad Imany

Published Aug 28, 2019• 0 citations
OpenAlex

Abstract

We demonstrate a deterministic two-qudit SUM gate with up to 16-dimensional qudits encoded in the time and frequency degrees of freedom of a single photon. Using this SUM gate, we generate non-separable time-frequency qudit states.

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Conference on Lasers and Electro-Optics•May 5, 2019•0 citations
Abstract The probabilistic nature of single-photon sources and photon–photon interactions encourages encoding as much quantum information as possible in every photon for the purpose of photonic quantum information processing. Here, by encoding high-dimensional units of information (qudits) in time and frequency degrees of freedom using on-chip sources, we report deterministic two-qudit gates in a single photon with fidelities exceeding 0.90 in the computational basis. Constructing a two-qudit modulo SUM gate, we generate and measure a single-photon state with nonseparability between time and frequency qudits. We then employ this SUM operation on two frequency-bin entangled photons—each carrying two 32-dimensional qudits—to realize a four-party high-dimensional Greenberger–Horne–Zeilinger state, occupying a Hilbert space equivalent to that of 20 qubits. Although high-dimensional coding alone is ultimately not scalable for universal quantum computing, our design shows the potential of deterministic optical quantum operations in large encoding spaces for practical and compact quantum information processing protocols.