The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
Bloch vectors for qudits
Open accessAbstract
We present three different matrix bases that can be used to decompose density matrices of d -dimensional quantum systems, so-called qudits: the generalized Gell–Mann matrix basis , the polarization operator basis and the Weyl operator basis . Such a decomposition can be identified with a vector—the Bloch vector, i.e. a generalization of the well-known qubit case—and is a convenient expression for comparison with measurable quantities and for explicit calculations avoiding the handling of large matrices. We present a new method to decompose density matrices via so-called standard matrices, consider the important case of an isotropic two-qudit state and decompose it according to each basis. In the case of qutrits we show a representation of an entanglement witness in terms of expectation values of spin-1 measurements, which is appropriate for an experimental realization.
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Cites
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
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Horodecki, M., Horodecki, P., & Horodecki, R. (1996) · Physics Letters A · doi:10.1016/s0375-9601(96)00706-2 · Cited by 3,649
Bell Inequalities for Arbitrarily High-Dimensional Systems
Collins, D., Gisin, N., Linden, N., Massar, S., & Popescu, S. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.040404 · Cited by 981
Reduction criterion of separability and limits for a class of distillation protocols
Horodecki, M., & Horodecki, P. (1999) · Physical Review A · doi:10.1103/physreva.59.4206 · Cited by 903
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Terhal, B. M. (2000) · Physics Letters A · doi:10.1016/s0375-9601(00)00401-1 · Cited by 775
Experimental Two-Photon, Three-Dimensional Entanglement for Quantum Communication
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The Bloch vector for N-level systems
Kimura, G. (2003) · Physics Letters A · doi:10.1016/s0375-9601(03)00941-1 · Cited by 454
Experimental quantum cryptography with qutrits
Gröblacher, S., Jennewein, T., Vaziri, A., Weihs, G., & Zeilinger, A. (2006) · New Journal of Physics · doi:10.1088/1367-2630/8/5/075 · Cited by 414
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Quantum convolutional neural networks
Cong, I., Choi, S., & Lukin, M. D. (2019) · Nature Physics · doi:10.1038/s41567-019-0648-8 · Cited by 1,517
High-dimensional optical quantum logic in large operational spaces
Imany, P., Jaramillo-Villegas, J. A., Alshaykh, M. S., Lukens, J. M., Odele, O. D., Moore, A. J., Leaird, D. E., Qi, M., & Weiner, A. M. (2019) · npj Quantum Information · doi:10.1038/s41534-019-0173-8 · Cited by 169
Monogamy of correlations and entropy inequalities in the Bloch picture
Appel, P., Huber, M., & Klöckl, C. (2020) · Journal of Physics Communications · doi:10.1088/2399-6528/ab6fb4 · Cited by 38
Metadata
- Authors
- Bertlmann, R. A., & Krammer, P.
- Venue
- Journal of Physics A: Mathematical and Theoretical
- Publisher
- IOP Publishing
- Published
- 2008-05-15
- Volume
- 41
- Issue
- 23
- Pages
- 235303
- ISSN
- 1751-8113 (ISSN-L)
- 1751-8121
- OpenAlex
- W2066766456
- Cited by
- 381
- References
- 27
- FWCI
- 9.54
- Type
- journal article
- Language
- en
- Open access
- bronze
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