Table 1 Alice’s local operation when the result of the three-dimensional correlation measurement is \(|\Phi ^{3}_{(2i+j,\sigma )}\rangle\). To satisfy the condition, \(a+b_{1}+b_{2}=0\) (mod 3), a local operation is necessary, where a, \(b_{1}\), and \(b_{2}\) are encoded number of Alice, \(\hbox {Bob}_{{1}}\), and \(\hbox {Bob}_{{2}}\), respectively.
From: Security analysis of qutrit quantum secret sharing with linear optical correlation measurement
Basis | Alice’s operation |
|---|---|
ordinary basis | \(a\rightarrow a + i\) (mod 3) |
bar basis | \(\bar{a}\rightarrow \bar{a} + \sigma\) (mod 3) |
