  Secure multiparty computation (MPC) schemes allow two or more parties to
conjointly compute a function on their private input sets while revealing
nothing but the output. Existing state-of-the-art number-theoretic-based
designs face the threat of attacks through quantum algorithms. In this context,
we present secure MPC protocols that can withstand quantum attacks. We first
present the design and analysis of an information-theoretic secure oblivious
linear evaluation (OLE), namely ${\sf qOLE}$ in the quantum domain, and show
that our ${\sf qOLE}$ is safe from external attacks. In addition, our scheme
satisfies all the security requirements of a secure OLE. We further utilize
${\sf qOLE}$ as a building block to construct a quantum-safe multiparty private
set intersection (MPSI) protocol.
