  For the efficient implementation of quantum algorithms, practical ways to
generate many-body entanglement are a basic requirement. Specifically, coupling
multiple qubit pairs at once can be advantageous and can lead to multi-qubit
operations useful in the construction of hardware-tailored algorithms. Here we
harness the simultaneous coupling of qubits on a chain and engineer a set of
non-local parity-dependent quantum operations suitable for a wide range of
applications. The resulting effective long-range couplings directly implement a
parametrizable Trotter-step for Jordan-Wigner fermions and can be used for
simulations of quantum dynamics, efficient state generation in variational
quantum eigensolvers, parity measurements for error-correction schemes, and the
generation of efficient multi-qubit gates. Moreover, we present numerical
simulations of the gate operation in a superconducting quantum circuit
architecture, which show a high gate fidelity of $>99.9\%$ for realistic
experimental parameters.
