%0 Journal Article %A Di Matteo, Olivia %A Sánchez Soto, Luis Lorenzo %A Leuchs, Gerd %A Grassl, M. %T Coarse graining the phase space of N qubits %D 2017 %@ 2469-9926 %U https://hdl.handle.net/20.500.14352/17800 %X We develop a systematic coarse-graining procedure for systems of N qubits. We exploit the underlying geometrical structures of the associated discrete phase space to produce a coarse-grained version with reduced effective size. Our coarse-grained spaces inherit key properties of the original ones. In particular, our procedure naturally yields a subset of the original measurement operators, which can be used to construct a coarse discrete Wigner function. These operators also constitute a systematic choice of incomplete measurements for the tomographer wishing to probe an intractably large system. %~