We propose to study many-body entanglement quantification, detection and the creation of large-scale entanglement in connection with the recent experiments on cold gases, atoms in optical lattices, etc. This research would bridge the gap between quantum in formation and the physics of cold gases, would help interpreting experimental results from point of view of quantum information, and would also help designing new experiments.
Ways of entanglement quantification in many-body systems will be studied in the above-mentioned physical systems. It will be determined, what degrees of freedom are relevant in a certain scenario from the point of view of entanglement. I will identify necessary conditions for separability in these relevant degrees of freedom. Based on these conditions many-body entanglement quantification is possible.
The measures constructed should reflect how the many-body quantum state can be used as a resource in several tasks in quantum information or should correspond to the effect of some fundamental physical process in the system. Using the measures found, methods for the experimental detection of many-body entanglement will be developed. These must be based on quantities easily accessible in experiments. Based on the measures constructed, entanglement creation properties of physical processes will be studied.
The main questions are
- how much entanglement can be created with a particular physical process starting out from a non-entangled state?
- How can one optimize the process for maximum entanglement creation?
- How decoherence affects the dynamics?
- How can the dynamics protected against decoherence, i.e. how can the dynamics be purified?
The physical processes ('general physical actions') will be studied using completely positive maps exploiting the established isomporphism between CP maps and positive operators.
Fields of science
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