TY - JOUR
T1 - Entanglement and local information access for graph states
AU - Virmani, Shashank
PY - 2007/6
Y1 - 2007/6
N2 - We exactly evaluate a number of multipartite entanglement measures for a class of graph states, including d-dimensional cluster states (d = 1,2,3), the Greenberger-Horne-Zeilinger states, and some related mixed states. The entanglement measures that we consider are continuous, 'distance from separable states' measures, including the relative entropy, the so-called geometric measure, and robustness of entanglement. We also show that for our class of graph states these entanglement values give an operational interpretation as the maximal number of graph states distinguishable by local operations and classical communication (LOCC), as well as supplying a tight bound on the fixed letter classical capacity under LOCC decoding.
AB - We exactly evaluate a number of multipartite entanglement measures for a class of graph states, including d-dimensional cluster states (d = 1,2,3), the Greenberger-Horne-Zeilinger states, and some related mixed states. The entanglement measures that we consider are continuous, 'distance from separable states' measures, including the relative entropy, the so-called geometric measure, and robustness of entanglement. We also show that for our class of graph states these entanglement values give an operational interpretation as the maximal number of graph states distinguishable by local operations and classical communication (LOCC), as well as supplying a tight bound on the fixed letter classical capacity under LOCC decoding.
KW - entanglement
KW - local information access
KW - graph states
KW - multipartite entanglement measures
KW - d-dimensional cluster states (d = 1
KW - 2
KW - 3)
KW - Greenberger-Horne-Zeilinger states
KW - continuous
KW - relative entropy
KW - geometric measure
UR - http://suprimo.lib.strath.ac.uk/primo_library/libweb/action/display.do?ct=display&doc=SUSFX954926913666&indx=1&frbg=&dum=true&vid=SUVU01&vl(54032236UI0)=lsr02&srt=rank&indx=1&vl(69186824UI1)=all_items&dstmp=1269022481915&tab=local&ct=search&scp.scps=scope
UR - http://dx.doi.org/10.1088/1367-2630/9/6/194
U2 - 10.1088/1367-2630/9/6/194
DO - 10.1088/1367-2630/9/6/194
M3 - Article
SN - 1367-2630
VL - 9
JO - New Journal of Physics
JF - New Journal of Physics
IS - 194
ER -