quantum gate directory
Mølmer-Sørensen
Symbol
$MS$
Description:
A native two qubit operation for ion traps.
The Mølmer-Sørensen (MS) gate is defined to act on $n$ qubits, but in the case of $n = 2$ reduces to $R_{xx}$. In full generality the MS gate (sometimes referred to as global MS or GMS) takes $n(n-1)/2$ parameters $\chi_{ij}$.
$$ \mathrm{MS}(\chi_{ij}) = \exp\left(-i \sum_{i=1}^n\sum_{j=i+1}^n X_i\otimes X_j \, \chi_{ij} / 2\right) $$
Where $X_i$ denotes a Pauli X on qubit $i$.
References
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