Physics
Scientific paper
Oct 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010njph...12j3012l&link_type=abstract
New Journal of Physics, Volume 12, Issue 10, pp. 103012 (2010).
Physics
1
Scientific paper
Qubits exhibit extreme nonlocality when their state is maximally entangled and this is observed by mutually unbiased local measurements. This criterion does not hold for the Bell inequalities of high-dimensional systems (qudits), recently proposed by Collins-Gisin-Linden-Massar-Popescu and Son-Lee-Kim. Taking an alternative approach, called the quantum-to-classical approach, we derive a series of Bell inequalities for qudits that satisfy the criterion as for the qubits. In the derivation each d-dimensional subsystem is assumed to be measured by one of d possible measurements with d being a prime integer. By applying to two qubits (d=2), we find that a derived inequality is reduced to the Clauser-Horne-Shimony-Holt inequality when the degree of nonlocality is optimized over all the possible states and local observables. Further applying to two and three qutrits (d=3), we find Bell inequalities that are violated for the three-dimensionally entangled states but are not violated by any two-dimensionally entangled states. In other words, the inequalities discriminate three-dimensional (3D) entanglement from two-dimensional (2D) entanglement and in this sense they are genuinely 3D. In addition, for the two qutrits we give a quantitative description of the relations among the three degrees of complementarity, entanglement and nonlocality. It is shown that the degree of complementarity jumps abruptly to very close to its maximum as nonlocality starts appearing. These characteristics imply that complementarity plays a more significant role in the present inequality compared with the previously proposed inequality.
Bang Jeongho
Lee Changhyoup
Lee Jinhyoung
Lim James
Ryu Junghee
No associations
LandOfFree
Genuinely high-dimensional nonlocality optimized by complementary measurements does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Genuinely high-dimensional nonlocality optimized by complementary measurements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Genuinely high-dimensional nonlocality optimized by complementary measurements will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1311571