  Current and near term quantum computers (i.e. NISQ devices) are limited in
their computational power in part due to qubit decoherence. Here we seek to
take advantage of qubit decoherence as a resource in simulating the behavior of
real world quantum systems, which are always subject to decoherence, with no
additional computational overhead. As a first step toward this goal we simulate
the thermal relaxation of quantum beats in radical ion pairs (RPs) on a quantum
computer as a proof of concept of the method. We present three methods for
implementing the thermal relaxation, one which explicitly applies the
relaxation Kraus operators, one which combines results from two separate
circuits in a classical post-processing step, and one which relies on
leveraging the inherent decoherence of the qubits themselves. We use our
methods to simulate two real world systems and find excellent agreement between
our results, experimental data, and the theoretical prediction.
