Tomography and Purification of the Temporal-Mode Structure of Quantum Light
Vahid Ansari, John M. Donohue, Markus Allgaier, Linda Sansoni,, Benjamin Brecht, Jonathan Roslund, Nicolas Treps, Georg Harder, and Christine, Silberhorn

TL;DR
This paper demonstrates high-dimensional quantum state manipulation in the time-frequency domain of non-classical light, enabling precise control and reconstruction of quantum states in seven dimensions using engineered nonlinear processes.
Contribution
It introduces a method for generating and manipulating high-dimensional temporal modes of quantum light with pulse shaping and a quantum pulse gate, advancing quantum information processing capabilities.
Findings
Reconstructed quantum states in seven dimensions.
Successfully manipulated temporal modes by mode removal.
Demonstrated effective mode-selective quantum state control.
Abstract
High-dimensional quantum information processing promises capabilities beyond the current state of the art, but addressing individual information-carrying modes presents a significant experimental challenge. Here we demonstrate effective high-dimensional operations in the time-frequency domain of non-classical light. We generate heralded photons with tailored temporal-mode structures through ultrafast pulse shaping of a parametric downconversion pump. We then implement a quantum pulse gate, enabled by dispersion-engineered sum-frequency generation, to project onto programmable temporal modes, reconstructing the quantum state in seven dimensions. We also manipulate the time-frequency structure by selectively removing temporal modes, explicitly demonstrating the effectiveness of engineered nonlinear processes for mode-selective manipulation of quantum states.
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