TY - GEN
T1 - From quantum tomography to phase retrieval and back
AU - Kech, Michael
AU - Wolf, Michael
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/7/2
Y1 - 2015/7/2
N2 - This letter is devoted to the cross-fertilization between the fields of phase retrieval and quantum tomography. In the first part we discuss topological aspects of quantum tomography which turn out to imply lower bounds on the number of frame vectors necessary to reconstruct signals modulo phase. In the second part we generalize the approach of Balan, Casazza and Edidin to construct frames for phase retrieval to the context of quantum tomography. In this process we obtain an extension of their result to Parseval frames.
AB - This letter is devoted to the cross-fertilization between the fields of phase retrieval and quantum tomography. In the first part we discuss topological aspects of quantum tomography which turn out to imply lower bounds on the number of frame vectors necessary to reconstruct signals modulo phase. In the second part we generalize the approach of Balan, Casazza and Edidin to construct frames for phase retrieval to the context of quantum tomography. In this process we obtain an extension of their result to Parseval frames.
UR - http://www.scopus.com/inward/record.url?scp=84941130669&partnerID=8YFLogxK
U2 - 10.1109/SAMPTA.2015.7148874
DO - 10.1109/SAMPTA.2015.7148874
M3 - Conference contribution
AN - SCOPUS:84941130669
T3 - 2015 International Conference on Sampling Theory and Applications, SampTA 2015
SP - 173
EP - 177
BT - 2015 International Conference on Sampling Theory and Applications, SampTA 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 11th International Conference on Sampling Theory and Applications, SampTA 2015
Y2 - 25 May 2015 through 29 May 2015
ER -