article
On global effects caused by locally noneffective unitary operations
published
Sevag
Gharibian
author 715410000-0002-9992-3379
Hermann
Kampermann
author
Dagmar
Bru{\ss}
author
623
department
7
department
Given a bipartite quantum state rho with subsystems A and B of arbitrary dimensions, we study the entanglement detecting capabilities of locally noneffective, or cyclic, unitary operations [L. B. Fu, Europhys. Lett., vol. 75, pp. 1-7, 2006]. Local cyclic unitaries have the special property that they leave their target subsystem invariant. We investigate the distance between rho and the global state after local application of such unitaries as a possible indicator of entanglement. To this end, we derive and discuss closed formulae for the maximal such distance achievable for three cases of interest: (pseudo)pure quantum states, Werner states, and two-qubit states. What makes this criterion interesting, as we show here, is that it surprisingly displays behavior similar to recent anomalies observed for non-locality measures in higher dimensions, as well as demonstrates an equivalence to the CHSH inequality for certain classes of two-qubit states. Yet, despite these similarities, the criterion is not itself a non-locality measure. We also consider entanglement detection in bound entangled states.
2009
eng
Quantum Information & Computation
0809.4469
9111013-1029
yes
Gharibian, S., Kampermann, H., & Bru{\ss}, D. (2009). On global effects caused by locally noneffective unitary operations. <i>Quantum Information & Computation</i>, <i>9</i>(11), 1013–1029.
Gharibian, Sevag, et al. “On Global Effects Caused by Locally Noneffective Unitary Operations.” <i>Quantum Information & Computation</i>, vol. 9, no. 11, 2009, pp. 1013–29.
Gharibian S, Kampermann H, Bru{\ss} D. On global effects caused by locally noneffective unitary operations. <i>Quantum Information & Computation</i>. 2009;9(11):1013-1029.
@article{Gharibian_Kampermann_Bru{\ss}_2009, title={On global effects caused by locally noneffective unitary operations}, volume={9}, number={11}, journal={Quantum Information & Computation}, author={Gharibian, Sevag and Kampermann, Hermann and Bru{\ss}, Dagmar}, year={2009}, pages={1013–1029} }
S. Gharibian, H. Kampermann, and D. Bru{\ss}, “On global effects caused by locally noneffective unitary operations,” <i>Quantum Information & Computation</i>, vol. 9, no. 11, pp. 1013–1029, 2009.
S. Gharibian, H. Kampermann, D. Bru{\ss}, Quantum Information & Computation 9 (2009) 1013–1029.
Gharibian, Sevag, Hermann Kampermann, and Dagmar Bru{\ss}. “On Global Effects Caused by Locally Noneffective Unitary Operations.” <i>Quantum Information & Computation</i> 9, no. 11 (2009): 1013–29.
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