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We present a quantum algorithm based on the Generalized Quantum MasterEquation (GQME) approach to simulate open quantum system dynamics on noisyintermediate-scale quantum (NISQ) computers. This approach overcomes thelimitations of the Lindblad equation, which assumes weak system-bath couplingand Markovity, by providing a rigorous derivation of the equations of motionfor any subset of elements of the reduced density matrix. The memory kernelresulting from the effect of the remaining degrees of freedom is used as inputto calculate the corresponding non-unitary propagator. We demonstrate how theSz.-Nagy dilation theorem can be employed to transform the non-unitarypropagator into a unitary one in a higher-dimensional Hilbert space, which canthen be implemented on quantum circuits of NISQ computers. We validate ourquantum algorithm as applied to the spin-boson benchmark model by analyzing theimpact of the quantum circuit depth on the accuracy of the results when thesubset is limited to the diagonal elements of the reduced density matrix. Ourfindings demonstrate that our approach yields reliable results on NISQ IBMcomputers.

Simulating Open Quantum System Dynamics on NISQ Computers with Generalized Quantum Master Equations