Abstract

The temporal shape of single photons provides a high-dimensional basis of temporal modes, and can therefore support quantum computing schemes that go beyond the qubit. However, the lack of linear optical components to act as quantum gates has made it challenging to efficiently address specific temporal-mode components from an arbitrary superposition. Recent progress towards realizing such a "quantum pulse gate," has been proposed using nonlinear optical signal processing to add coherently the effect of multiple stages of quantum frequency conversion. This scheme, called temporal-mode interferometry [D. V. Reddy, Phys. Rev. A 91, 012323 (2015)], has been shown in the case of three-wave mixing to promise near-unity mode-sorting efficiency. Here we demonstrate that it is also possible to achieve high mode-sorting efficiency using four-wave mixing, if one pump pulse is long and the other short - a configuration we call asymmetrically-pumped Bragg scattering.

Highlights

  • Constructing efficient classical and quantum optical networks requires using all of the degrees of freedom of light

  • Near-100% temporal modes (TMs) selectivity is predicted for frequency conversion by multi-stage three-wave mixing in second-order nonlinear optical waveguides [8, 9]

  • For double collision” (DC), a non-converted state which is input in either the r- or the s-channel seems to be temporally distorted when sent through the device, resulting in a potential issue in cases where cascaded temporalmode interferometry (TMI) devices are required

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Summary

Introduction

Constructing efficient classical and quantum optical networks requires using all of the degrees of freedom of light. Near-100% TM selectivity is predicted for frequency conversion by multi-stage three-wave mixing in second-order nonlinear optical waveguides [8, 9] This scheme is called temporalmode interferometry (TMI) [8]. The shape of the weak, short pulse defines the target TM, while the strong, constant field creates only a constant change of the effective refractive index We predict that this scheme, which we call asymmetricallypumped Bragg scattering, will imitate the three-wave mixing process, as the NPM effects can be accounted for by merely frequency shifting the pump pulses [10]. We discuss how the TM selectivity depends on the different physical parameters, and present a specific example of feasible parameters that results in near ideal performance of the quantum pulse gate

Theory of asymmetrically-pumped Bragg scattering
Single-stage asymmetrically-pumped Bragg scattering
Dual-stage asymmetrically-pumped Bragg scattering
Theory
Results
Numerical analysis and feasibility
Conclusion
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