Implementing quantum stochastic differential equations on a quantum computer

Abstract

We study how to implement quantum stochastic differential equations (QSDEs) on a quantum computer. This is illustrated by an implementation of the QSDE that couples a laser driven two-level atom to the electromagnetic field in the vacuum state on the IBMqx4 Tenerife computer. We compare the resulting master equation and quantum filtering equations to existing theory. In this way we characterize the performance of the computer.

arXiv comment16 pages, 7 figures; corrected error in eq. 8, added reference to Qiskit

References in corpus (6)

• A simple model of quantum trajectories
• Quantum Feedback Networks: Hamiltonian Formulation
• Qubit models of weak continuous measurements
• A discrete invitation to quantum filtering and feedback control
• Quantum trajectories for time-dependent adiabatic master equations
• Discrete Approximation of Quantum Stochastic Models

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• Collisional picture of quantum optics with giant emitters
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• Making Quantum Collision Models Exact
• Variational Quantum Simulation of the Fokker-Planck Equation applied to Quantum Radiation Reaction