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arXiv · 1804.09967

On the classification of two-qubit group orbits and the use of coarse-grained 'shape' as a superselection property

Thomas Hebdige·David Jennings
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Abstract

Recently a complete set of entropic conditions has been derived for the interconversion structure of states under quantum operations that respect a specified symmetry action, however the core structure of these conditions is still only partially understood. Here we develop a coarse-grained description with the aim of shedding light on both the structure and the complexity of this general problem. Specifically, we consider the degree to which one can associate a basic `shape' property to a quantum state or channel that captures coarse-grained data either for state interconversion or for the use of a state within a simulation protocol. We provide a complete solution for the two-qubit case under the rotation group, give analysis for the more general case and discuss possible extensions of the approach.

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Thomas Hebdige, David Jennings. 2019-01-29. On the classification of two-qubit group orbits and the use of coarse-grained 'shape' as a superselection property. https://doi.org/10.22331/q-2019-02-04-119

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