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

• URL: http://arxiv.org/abs/2509.13061v1
• Date: Tue, 16 Sep 2025 13:19:27 GMT
• Title: Resource-efficient entanglement detection in high-dimensional states via two-qubit witnesses
• Authors: Josef Kadlec, Artur Barasiński, Karel Lemr,
• Abstract summary: 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.<n>The proposed approach is not restricted to any specific class of states, successfully identifies a vast majority of pure entangled states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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