Exchange-symmetrized qudit Bell bases and Bell-state distinguishability
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/vdb2-t7bz |
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| Summary: | 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 2. 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=2^{n} and d=3. This result is relevant to near-term realizations of quantum communication protocols. |
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| ISSN: | 2643-1564 |