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Informational completeness of continuous-variable measurements

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Sych,  D.
Optics Theory Group, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Leuchs,  G.
Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Sanchez-Soto,  L. L.
Guests, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Sych, D., Rehacek, J., Hradil, Z., Leuchs, G., & Sanchez-Soto, L. L. (2012). Informational completeness of continuous-variable measurements. PHYSICAL REVIEW A, 86(5): 052123. doi:10.1103/PhysRevA.86.052123.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6853-7
Abstract
We justify that homodyne tomography turns out to be informationally complete when the number of independent quadrature measurements is equal to the dimension of the density matrix in the Fock representation. Using this as our thread, we examine the completeness of other schemes when continuous-variable observations are truncated to discrete finite-dimensional subspaces.