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Implementing quantum stochastic differential equations on a quantum computer

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Abstract

We study how to solve quantum stochastic differential equations (QSDEs) using a quantum computer. This is illustrated by an implementation of the QSDE that models the interaction of a laser driven two-level atom with the electromagnetic field in the vacuum state, on the IBMqx4 Tenerife quantum computer (IBM in The IBM Q experience. https://quantumexperience.ng.bluemix.net/qx. Accessed 23 Nov 2018, 2018). We compare the resulting master equation and quantum filtering equations to existing theory. In this way we characterize the performance of the computer.

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  1. Q1t BV, Lindenlaan 15, 6584 AC, Molenhoek, The Netherlands

    Gé Vissers & Luc Bouten

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  1. Gé Vissers
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  2. Luc Bouten
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Correspondence to Gé Vissers.

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Vissers, G., Bouten, L. Implementing quantum stochastic differential equations on a quantum computer. Quantum Inf Process 18, 152 (2019). https://doi.org/10.1007/s11128-019-2272-z

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