Temporal mode transformations by sequential time and frequency phase modulation for applications in quantum information science

TL;DR

This paper introduces a practical method for implementing arbitrary unitary transformations on the temporal modes of quantum light pulses using sequential phase modulation in time and frequency domains, enabling advanced quantum information processing.

Contribution

It presents a novel theoretical and numerical framework for performing general multimode unitary transformations on temporal modes via phase modulation, filling a gap in quantum control techniques.

Findings

Any unitary transformation on temporal modes can be realized with phase operations.

Numerical simulations achieve over 95% fidelity for key transformations.

The approach is feasible with current experimental capabilities.

Abstract

Controlling the temporal mode shape of quantum light pulses has wide ranging application to quantum information science and technology. Techniques have been developed to control the bandwidth, allow shifting in the time and frequency domains, and perform mode-selective beam-splitter-like transformations. However, there is no present scheme to perform targeted multimode unitary transformations on temporal modes. Here we present a practical approach to realize general transformations for temporal modes. We show theoretically that any unitary transformation on temporal modes can be performed using a series of phase operations in the time and frequency domains. Numerical simulations show that several key transformations on temporal modes can be performed with greater than 95% fidelity using experimentally feasible specifications.