Please use this identifier to cite or link to this item:
|Title:||Entanglement of the Antisymmetric State|
|Source:||Christandl, M., Schuch, N., Winter, A. (2012-04). Entanglement of the Antisymmetric State. Communications in Mathematical Physics 311 (2) : 397-422. ScholarBank@NUS Repository. https://doi.org/10.1007/s00220-012-1446-7|
|Abstract:||We analyse the entanglement of the antisymmetric state in dimension d × d and present two main results. First, we show that the amount of secrecy that can be extracted from the state is low, more precisely, the distillable key is bounded by O(1/d). Second, we show that the state is highly entangled in the sense that a large number of ebits are needed in order to create the state: entanglement cost is larger than a constant, independent of d. The second result is shown to imply that the regularised relative entropy with respect to separable states is also lower bounded by a constant. Finally, we note that the regularised relative entropy of entanglement is asymptotically continuous in the state. Elementary and advanced facts from the representation theory of the unitary group, including the concept of plethysm, play a central role in the proofs of the main results. © 2012 Springer-Verlag.|
|Source Title:||Communications in Mathematical Physics|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 15, 2018
WEB OF SCIENCETM
checked on Feb 7, 2018
checked on Feb 20, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.