DocumentCode :
1779585
Title :
Mismatched quantum filtering and entropic information
Author :
Tsang, Melissa
Author_Institution :
Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore
fYear :
2014
fDate :
June 29 2014-July 4 2014
Firstpage :
321
Lastpage :
325
Abstract :
Quantum filtering is a signal processing technique that estimates the posterior state of a quantum system under continuous measurements and has become a standard tool in quantum information processing, with applications in quantum state preparation, quantum metrology, and quantum control. If the filter assumes a nominal model that differs from reality, however, the estimation accuracy is bound to suffer. Here I derive identities that relate the excess error caused by quantum filter mismatch to the relative entropy between the true and nominal observation probability measures, with one identity for Gaussian measurements, such as optical homodyne detection, and another for Poissonian measurements, such as photon counting. These identities generalize recent seminal results in classical information theory and provide new operational meanings to relative entropy, mutual information, and channel capacity in the context of quantum experiments.
Keywords :
Gaussian processes; channel capacity; information theory; photon counting; signal processing; Gaussian measurements; Poissonian measurements; channel capacity; entropic information; information theory; mutual information; optical homodyne detection; photon counting; quantum control; quantum filtering; quantum information processing; quantum metrology; quantum state preparation; quantum system; relative entropy; signal processing technique; Entropy; Estimation; Mutual information; Optical variables measurement; Quantum mechanics; Yttrium;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location :
Honolulu, HI
Type :
conf
DOI :
10.1109/ISIT.2014.6874847
Filename :
6874847
Link To Document :
بازگشت