Arbitrary unitary transformation of quantum light pulses

Presenting Author: James Ashby, University of Oregon

Controlling the temporal mode shape of a quantum light pulses has wide ranging application to optical quantum technologies, including quantum key distribution with pulsed mode encoding, continuous-variable cluster state manipulation, linear-optics quantum computation, and enhanced quantum sensing. We propose a realistic linear optical system that can perform arbitrary unitary transformations on a set of temporal modes. First we show that any unitary transformation on pulsed modes can be decomposed into a sequence of phase modulations in either the temporal or spectral domain with Fourier transforms between these domains. It is shown that this sequence of transformations can be performed on optical pulses using electro-optic phase modulators and dispersive optical elements. We consider realistic constraints on the bandwidth of the modulator and its driving electronics to simulate the performance of this system for several unitary transformations. Example transformations that we have examined include demultiplexing temporal modes into a sequence of Gaussian pulses, single-qubit pulse-mode gates, and a two-qubit pulse-mode CNOT gate. Numerical results demonstrate that targeted transformations can be achieved with near unit fidelity and efficiency.

(Session 5 : Sunday from 5:00pm - 7:00pm)


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