2021/03/06 by Francisco A. Domínguez-Serna, F. A. Domínguez-Serna, Karina Garay-Palmett +1
Engineering · Mathematics · Physics and Astronomy · #Algorithm #Bloch sphere #Combinatorics #Computer science #Dimension (graph theory) #Gaussian #Mathematics #Mechanical and Optical Resonators #Nonlinear system #Photonic and Optical Devices #Physics #Quantum #Quantum computer #Quantum gate #Quantum mechanics #Quantum optics and atomic interactions #Qubit #State (computer science) #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1364/josab.424374
12 pages, 5 figures
arxiv created 2021/03/06 · openalex created_date 2021/03/15 · openalex publication_date 2021/06/22 · arxiv updated 2021/08/04 · openalex updated_date 2026/08/05
We present a study on preparing and manipulating temporal-mode (TM) qubits based on third-order nonlinear interactions. Specifically, we consider the process of frequency conversion via difference frequency generation. To prepare a qubit, we aim to use Gaussian input states to a nonlinear waveguide. The coupling between the input state and a specific TM is maximized, obtaining qubits prepared with fidelities close to one. TMs evolve linearly within the medium; therefore, it is possible to define rotations around any axis contained in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>x</mml:mi> <mml:mi>y</mml:mi> </mml:math> plane, allowing spanning the full Bloch sphere in two steps. Particularly, we present a method to obtain any of the Pauli quantum gates by varying geometric or user-accessible parameters in a given experimental configuration when time-ordering effects are ignored. Our study allows for experimentally feasible proposals capable of controllable arbitrary qubit transformations.