The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Induced measures in the space of mixed quantum states
Open accessAbstract
We analyse several product measures in the space of mixed quantum states. In particular, we study measures induced by the operation of partial tracing. The natural, rotationally invariant measure on the set of all pure states of a N × K composite system, induces a unique measure in the space of N × N mixed states (or in the space of K × K mixed states, if the reduction takes place with respect to the first subsystem). For K = N the induced measure is equal to the Hilbert-Schmidt measure, which is shown to coincide with the measure induced by singular values of non-Hermitian random Gaussian matrices pertaining to the Ginibre ensemble. We compute several averages with respect to this measure and show that the mean entanglement of N × N pure states behaves as ln N -1/2.
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Cited by
Fisher information and multiparticle entanglement
Hyllus, P., Laskowski, W., Krischek, R., Schwemmer, C., Wieczorek, W., Weinfurter, H., Pezzé, L., & Smerzi, A. (2012) · Physical Review A · doi:10.1103/physreva.85.022321 · Cited by 593
Optimal, reliable estimation of quantum states
Blume-Kohout, R. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/4/043034 · Cited by 393
Evenly distributed unitaries: On the structure of unitary designs
Gross, D., Audenaert, K., & Eisert, J. (2007) · Journal of Mathematical Physics · doi:10.1063/1.2716992 · Cited by 358
Shadbolt, P. J., Verde, M. R., Peruzzo, A., Politi, A., Laing, A., Lobino, M., Matthews, J. C. F., Thompson, M. G., & O'Brien, J. L. (2012) · Nature Photonics · doi:10.1038/nphoton.2011.283 · Cited by 297
Bures volume of the set of mixed quantum states
Sommers, H.-J. R., & Zyczkowski, K. (2003) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/36/39/308 · Cited by 163
Self-citation
Metadata
- Authors
- Zyczkowski, K., & Sommers, H.-J.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 2001-08-24
- Volume
- 34
- Issue
- 35
- Pages
- 7111-7125
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2095222927
- Cited by
- 425
- References
- 23
- FWCI
- 6.13
- Type
- journal article
- Language
- en
- Open access
- green
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