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@article{Hebdige:2019:10.22331/q-2019-02-04-119,
author = {Hebdige, T and Jennings, D},
doi = {10.22331/q-2019-02-04-119},
journal = {Quantum},
title = {On the classification of two-qubit group orbits and the use of coarse-grained 'shape' as a superselection property},
url = {http://dx.doi.org/10.22331/q-2019-02-04-119},
volume = {3},
year = {2019}
}

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TY  - JOUR
AB  - 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.
AU  - Hebdige,T
AU  - Jennings,D
DO  - 10.22331/q-2019-02-04-119
PY  - 2019///
SN  - 2521-327X
TI  - On the classification of two-qubit group orbits and the use of coarse-grained 'shape' as a superselection property
T2  - Quantum
UR  - http://dx.doi.org/10.22331/q-2019-02-04-119
UR  - http://hdl.handle.net/10044/1/67316
VL  - 3
ER  -

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