Implementing quantum stochastic differential equations on a quantum computer

Gé Vissers; Luc Bouten

doi:10.1007/s11128-019-2272-z

Implementing quantum stochastic differential equations on a quantum computer

Quantum Physics 2019-05-09 v2

Authors: Gé Vissers , Luc Bouten

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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.

Keywords

quantum computation quantum computing quantum algorithms

Cite

@article{arxiv.1811.09657,
  title  = {Implementing quantum stochastic differential equations on a quantum computer},
  author = {Gé Vissers and Luc Bouten},
  journal= {arXiv preprint arXiv:1811.09657},
  year   = {2019}
}

Comments

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

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