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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-08-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/vdb2-t7bz |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850036453953765376 |
|---|---|
| author | Oscar Scholin Theresa W. Lynn |
| author_facet | Oscar Scholin Theresa W. Lynn |
| author_sort | Oscar Scholin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-52e5e7ea1e94468db15bc1b45eb2c049 |
| institution | DOAJ |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-52e5e7ea1e94468db15bc1b45eb2c0492025-08-20T02:57:08ZengAmerican Physical SocietyPhysical Review Research2643-15642025-08-017303312410.1103/vdb2-t7bzExchange-symmetrized qudit Bell bases and Bell-state distinguishabilityOscar ScholinTheresa W. LynnEntanglement 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.http://doi.org/10.1103/vdb2-t7bz |
| spellingShingle | Oscar Scholin Theresa W. Lynn Exchange-symmetrized qudit Bell bases and Bell-state distinguishability Physical Review Research |
| title | Exchange-symmetrized qudit Bell bases and Bell-state distinguishability |
| title_full | Exchange-symmetrized qudit Bell bases and Bell-state distinguishability |
| title_fullStr | Exchange-symmetrized qudit Bell bases and Bell-state distinguishability |
| title_full_unstemmed | Exchange-symmetrized qudit Bell bases and Bell-state distinguishability |
| title_short | Exchange-symmetrized qudit Bell bases and Bell-state distinguishability |
| title_sort | exchange symmetrized qudit bell bases and bell state distinguishability |
| url | http://doi.org/10.1103/vdb2-t7bz |
| work_keys_str_mv | AT oscarscholin exchangesymmetrizedquditbellbasesandbellstatedistinguishability AT theresawlynn exchangesymmetrizedquditbellbasesandbellstatedistinguishability |