Implementation of quantum state tomography for time-bin qudits

Abstract

Quantum state tomography (QST) is an essential tool for characterizing an unknown quantum state. Recently, QST has been performed for entangled qudits based on orbital angular momentum, time-energy uncertainty, and frequency bins. Here, we propose a QST for time-bin qudits, with which the number of measurement settings scales linearly with dimension $d$. Using the proposed scheme, we performed QST for a four-dimensional time-bin maximally entangled state with 16 measurement settings. We successfully reconstructed the density matrix of the entangled qudits, with which the average fidelity of the state was calculated to be 0.950.

13 pages, 4 figures,supplementary materials are available in New Journal of Physics

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• High-dimensional discrete Fourier transform gates with the quantum frequency processor
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• Measuring ultrafast time-bin qudits
• Recent advances in high-dimensional mode-locked quantum frequency combs
• Quantum tomography of entangled qubits by time-resolved single-photon counting with time-continuous measurements
• Phase estimation of time-bin qudits by time-resolved single-photon counting
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• Quantifying entanglement of two-qubit Werner states
• Implementing positive-operator-valued-measurement elements in photonic circuits for performing minimum quantum state tomography of path qudits
• Theory of time-bin entangled photons from quantum emitters
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• High-rate qutrit entanglement swapping with photon-number-basis
• Entanglement quantification enhanced by dark count correction
• Photonic quantum information with time-bins: Principles and applications