Abstract: A computing device including memory storing a quantum computing device model. The quantum computing device model may include a plurality of quantum computing device components having a respective plurality of actual boundaries. The computing device may further include a processor configured to generate a first discretized model of the quantum computing device model. The first discretized model may indicate a respective estimated boundary for each quantum computing device component. The processor may be further configured to solve a first differential equation discretized with the first discretized model. The processor may be further configured to generate a second discretized model of a focus region of the quantum computing device model. In the second discretized model, the focus region may have the estimated boundary computed for the focus region in the first discretized model. The processor may be further configured to solve a second differential equation discretized with the second discretized model.

Abstract: A computing device, including memory storing a quantum computing device model. The quantum computing device model may include a plurality of quantum computing device components having a respective plurality of actual boundaries, including a boundary between a superconductor and a semiconductor. The computing device may further include a processor configured to receive, via an application-program interface (API), a nonuniform grid having a nonuniform spacing along at least a first spatial dimension. The processor may receive, via the API, a Schrödinger equation including a Hamiltonian having one or more operators. The processor may discretize the quantum computing device model using the nonuniform grid. The processor may compute a finite-difference solution estimate to the Schrödinger equation over the quantum computing device model as discretized with the nonuniform grid. The processor may output the finite-difference solution estimate via the API.

Abstract: A computing device, including memory storing a quantum computing device model. The quantum computing device model may include a plurality of quantum computing device components having a respective plurality of actual boundaries, including a boundary between a superconductor and a semiconductor. The computing device may further include a processor configured to receive, via an application-program interface (API), a nonuniform grid having a nonuniform spacing along at least a first spatial dimension. The processor may receive, via the API, a Schrödinger equation including a Hamiltonian having one or more operators. The processor may discretize the quantum computing device model using the nonuniform grid. The processor may compute a finite-difference solution estimate to the Schrödinger equation over the quantum computing device model as discretized with the nonuniform grid. The processor may output the finite-difference solution estimate via the API.

Abstract: A computing device including memory storing a quantum computing device model. The quantum computing device model may include a plurality of quantum computing device components having a respective plurality of actual boundaries. The computing device may further include a processor configured to generate a first discretized model of the quantum computing device model. The first discretized model may indicate a respective estimated boundary for each quantum computing device component. The processor may be further configured to solve a first differential equation discretized with the first discretized model. The processor may be further configured to generate a second discretized model of a focus region of the quantum computing device model. In the second discretized model, the focus region may have the estimated boundary computed for the focus region in the first discretized model. The processor may be further configured to solve a second differential equation discretized with the second discretized model.