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Robust and Efficient High-Dimensional Quantum State Tomography

Markus Rambach, Mahdi Qaryan, Michael Kewming, Christopher Ferrie, Andrew G. White, and Jacquiline Romero
Phys. Rev. Lett. 126, 100402 – Published 10 March 2021
Physics logo See synopsis: Measuring Higher Dimensional “Qudits” for Computation
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Abstract

The exponential growth in Hilbert space with increasing size of a quantum system means that accurately characterizing the system becomes significantly harder with system dimension d. We show that self-guided tomography is a practical, efficient, and robust technique of measuring higher-dimensional quantum states. The achieved fidelities are over 99.9% for qutrits (d=3) and ququints (d=5), and 99.1% for quvigints (d=20)—the highest values ever realized for qudit pure states. We also show excellent performance for mixed states, achieving average fidelities of 96.5% for qutrits. We demonstrate robustness against experimental sources of noise, both statistical and environmental. The technique is applicable to any higher-dimensional system, from a collection of qubits through to individual qudits, and any physical realization, be it photonic, superconducting, ionic, or spin.

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  • Received 1 October 2020
  • Revised 12 January 2021
  • Accepted 5 February 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.100402

© 2021 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Quantum Information, Science & TechnologyGeneral Physics

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Measuring Higher Dimensional “Qudits” for Computation

Published 10 March 2021

With a technique called self-guided tomography, researchers accurately measure the states of qudits—quantum systems like qubits but with more than two dimensions. 

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Authors & Affiliations

Markus Rambach1,2,*, Mahdi Qaryan1,2, Michael Kewming1,2, Christopher Ferrie3, Andrew G. White1,2, and Jacquiline Romero1,2,†

  • 1Australian Research Council Centre of Excellence for Engineered Quantum Systems, Brisbane, Queensland 4072, Australia
  • 2School of Mathematics and Physics, University of Queensland, Brisbane, Queensland 4072, Australia
  • 3Centre for Quantum Software and Information, University of Technology Sydney, Sydney, New South Wales 2007, Australia

  • *m.rambach@uq.edu.au
  • m.romero@uq.edu.au

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Issue

Vol. 126, Iss. 10 — 12 March 2021

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