Maple tools for the simulation of quantum registers and applications to atomic processes |
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| Thomas Radtke | |
| Universität Kassel | |
| Entanglement is known today as a key resource in many protocols from quantum computation and quantum information theory. However, despite the successful demonstration of several protocols, such as teleportation or quantum key distribution, there are still many open questions of how entanglement affects the efficiency of quantum algorithms or how the entanglement in quantum registers can be protected in noisy environments.
To facilitate the simulation of quantum registers and the investigation of their entanglement properties, we present the "Feynman" program that was developed as a package for the computer algebra system Maple. The package supports frequently used concepts like tensor products and partial traces. Additionally, many popular states, quantum gates and noise models are already predefined for convenient access. The program also implements a variety of separability criteria and (entanglement) measures to provide tools for the quantitative and qualitative analysis of entanglement. As an application of the "Feynman" program we present two case studies in the field of atomic physics. First we investigate the spin entanglement between photoion and photoelectron in the atomic photoionization. The second study analyzes the polarization entanglement and nonlocality of the photon pairs emitted during the decay of (metastable) hydrogen. |