English

Kraus decomposition for chaotic environments including time-dependent subsystem Hamiltonians

Quantum Physics 2009-11-13 v1

Abstract

We derive an exact and explicit Kraus decomposition for the reduced density of a quantum system simultaneously interacting with time-dependent external fields and a chaotic environment of thermodynamic dimension. We test the accuracy of the Kraus decomposition against exact numerical results for a CNOT gate performed on two qubits of an (N+2)(N+2)-qubit statically flawed isolated quantum computer. Here the NN idle qubits comprise the finite environment. We obtain very good agreement even for small NN.

Keywords

Cite

@article{arxiv.0710.1659,
  title  = {Kraus decomposition for chaotic environments including time-dependent subsystem Hamiltonians},
  author = {Murat Cetinbas and Joshua Wilkie},
  journal= {arXiv preprint arXiv:0710.1659},
  year   = {2009}
}
R2 v1 2026-06-21T09:28:43.103Z