  Over-the-air computation (AirComp) has emerged as a promising technology for
fast wireless data aggregation by harnessing the superposition property of
wireless multiple-access channels. This paper investigates a fluid antenna (FA)
array-enhanced AirComp system, employing the new degrees of freedom achieved by
antenna movements. Specifically, we jointly optimize the transceiver design and
antenna position vector (APV) to minimize the mean squared error (MSE) between
target and estimated function values. To tackle the resulting highly non-convex
problem, we adopt an alternating optimization technique to decompose it into
three subproblems. These subproblems are then iteratively solved until
convergence, leading to a locally optimal solution. Numerical results show that
FA arrays with the proposed transceiver and APV design significantly outperform
the traditional fixed-position antenna arrays in terms of MSE.
