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Journal Article

Coarse graining the phase space of N qubits

MPS-Authors

Sanchez-Soto,  Luis L.
Quantumness, Tomography, Entanglement, and Codes, Emeritus Group Leuchs, Emeritus Groups, Max Planck Institute for the Science of Light, Max Planck Society;

Leuchs,  Gerd
Emeritus Group Leuchs, Emeritus Groups, Max Planck Institute for the Science of Light, Max Planck Society;

Grassl,  Markus
Quantumness, Tomography, Entanglement, and Codes, Emeritus Group Leuchs, Emeritus Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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1701.08630.pdf
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Citation

Di Matteo, O., Sanchez-Soto, L. L., Leuchs, G., & Grassl, M. (2017). Coarse graining the phase space of N qubits. Physical Review A, 95(2): 022340. doi:10.1103/PhysRevA.95.022340.


Cite as: http://hdl.handle.net/21.11116/0000-0006-DF46-1
Abstract
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.