2024/12/13 by Oscar Scholin, Scholin, Oscar, T. W. Lynn +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2412.10297
openalex publication_date 2024/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Entanglement of qudit pairs, with single particle Hilbert space dimension d, has important potential for quantum information processing, with applications in cryptography, algorithms, and error correction. For a pair of qudits of arbitrary even dimension d, we introduce a generalized Bell basis with definite symmetry under exchange of internal states between the two particles. We show that no complete exchange-symmetrized basis can exist for odd d. This framework extends prior work on exchange-symmetrized hyperentangled qubit bases, where d is a power of two. For our exchange-symmetrized basis we show that measurement devices restricted to linear evolution and local measurement (LELM) can unambiguously distinguish 2d-1 qudit Bell states for any even d. This achieves the upper bound in general for reliable Bell-state distinguishability via LELM and augments previously known limits for d = 2n and d=3. This result is relevant to near-term realizations of quantum communication protocols.