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Parallelizable synthesis of arbitrary single-qubit gates with linear optics and time-frequency encoding

Antoine Henry1,2, Ravi Raghunathan1, Guillaume Ricard1,3, Baptiste Lefaucher1, Filippo Miatto1, Nadia Belabas2, Isabelle Zaquine1, and Romain Alléaume1,3,*

  • 1Télécom Paris-LTCI, Institut Polytechnique de Paris, 19 Place Marguerite Perey, 91120 Palaiseau, France
  • 2Centre for Nanosciences and Nanotechnology, CNRS, Université Paris-Saclay, UMR 9001,10 Boulevard Thomas Gobert, 91120 Palaiseau, France
  • 3Quriosity Team, Inria Saclay, France

  • *romain.alleaume@telecom-paris.fr
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Phys. Rev. A 107, 062610 – Published 26 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.062610

Abstract

We propose methods for the exact synthesis of single-qubit unitaries with high success probability and gate fidelity, considering both time-bin and frequency-bin encodings. The proposed schemes are experimentally implementable with a spectral linear-optical quantum computation (S-LOQC) platform, composed of electro-optic phase modulators and phase-only programmable filters (pulse shapers). We assess the performances in terms of fidelity and probability of the two simplest three-component configurations for arbitrary gate generation in both encodings and give an exact analytical solution for the synthesis of an arbitrary single-qubit unitary in the time-bin encoding, using a single-tone rf driving of the electro-optic modulators. We further investigate the parallelization of arbitrary single-qubit gates over multiple qubits with a compact experimental setup, both for spectral and temporal encodings. We systematically evaluate and discuss the impact of the rf bandwidth, which conditions the number of tones driving the modulators, and of the choice of encoding for different targeted gates. We moreover quantify the number of high-fidelity Hadamard gates that can be synthesized in parallel, with minimal and increasing resources in terms of driving rf tones in a realistic system. Our analysis positions spectral S-LOQC as a promising platform to conduct massively parallel single-qubit operations, with potential applications to quantum metrology and quantum tomography.

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Outline

Information

Phys. Rev. A 107, 062610– Published 26 June, 2023
  • Received 24 October 2022
  • Revised 16 April 2023
  • Accepted 8 June 2023
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