Resource-efficient entanglement detection in high-dimensional states via two-qubit witnesses
arXiv:2509.13061 · doi: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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