Non-existence of invariant EPR correlation for two qudits, d>2

Details Non-existence of invariant EPR correlation for two qudits, d>2 Non-existence of invariant EPR correlation for two qudits, d>2

2011-09-07

arxiv.org/abs/1109.1447v1

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

The two qubit (spin 1/2) singlet state has invariant perfect EPR correlations: if two observers measure {\em any} identical observables the results are always perfectly (anti-)correlated. We show that no such correlations exists in $d\otimes d$ pure or mixed bipartite quantum states if $d\geq3$. This points that two qubit singlets are high-quality quantum information carriers in long distance transmission: their correlations are unaffected by identical random unitary transformations of both qubits. Pairs of entangled qu$d$its, $d>2$, do not have this property. Thus, qu$d$it properties should be rather exploited only in protocols in which transmission is not a long distance one.

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