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Resource-efficient entanglement detection in high-dimensional states via two-qubit witnesses

Josef Kadlec1,2,*, Artur Barasiński3, and Karel Lemr2

  • *Contact author: josef.kadlec@upol.cz
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Phys. Rev. Research 8, 013195 – Published 19 February, 2026

DOI: https://doi.org/10.1103/7swz-fdw9

Abstract

This paper presents an efficient method for detecting entanglement in high-dimensional two-qudit states by mapping the Hilbert space onto the space of two qubits. This transformation enables the use of well-established two-qubit entanglement witnesses. The proposed approach is not restricted to any specific class of states, successfully identifies a vast majority of pure entangled states, and requires a number of measurements that does not increase with the dimensionality of the qudits. The method demonstrates solid sensitivity when applied to two notable classes of states—incomplete-permutation-symmetric states and random pure states mixed with white noise—and is shown to be feasible with current experimental techniques.

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Phys. Rev. Research 8, 013195– Published 19 February, 2026
  • Received 6 June 2025
  • Accepted 9 January 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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