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Search Publications by: Yi-Kai Liu (Fed)

Displaying 26 - 27 of 27

Continuous-variable quantum compressed sensing

July 9, 2012

Author(s)

Yi-Kai Liu, Matthias Ohliger, Vincent Nesme, David Gross, Jens Eisert

We introduce a novel method to faithfully reconstruct unknown quantum states that are approximately low-rank, using only a few measurement settings. The method is general enough to allow for measurements from a continuous family, and is also applicable to

Universal Low-rank Matrix Recovery from Pauli Measurements

December 12, 2011

Author(s)

Yi-Kai Liu

We study the problem of reconstructing an unknown matrix M of rank r and dimension d using O(rd poly log d) Pauli measurements. This has applications in quantum state tomography, and is a non- commutative analogue of a well-known problem in compressed