Unifying parameter estimation and the Deutsch-Jozsa algorithm for continuous variables
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Author(s)
Zwierz, Marcin
A. Pe ́rez-Delgado, Carlos
Kok, Pieter
Griffith University Author(s)
Year published
2010
Metadata
Show full item recordAbstract
We reveal a close relationship between quantum metrology and the Deutsch-Jozsa algorithm on continuous- variable quantum systems. We develop a general procedure, characterized by two parameters, that unifies parameter estimation and the Deutsch-Jozsa algorithm. Depending on which parameter we keep constant, the procedure implements either the parameter-estimation protocol or the Deutsch-Jozsa algorithm. The parameter-estimation part of the procedure attains the Heisenberg limit and is therefore optimal. Due to the use of approximate normalizable continuous-variable eigenstates, the Deutsch-Jozsa algorithm is probabilistic. ...
View more >We reveal a close relationship between quantum metrology and the Deutsch-Jozsa algorithm on continuous- variable quantum systems. We develop a general procedure, characterized by two parameters, that unifies parameter estimation and the Deutsch-Jozsa algorithm. Depending on which parameter we keep constant, the procedure implements either the parameter-estimation protocol or the Deutsch-Jozsa algorithm. The parameter-estimation part of the procedure attains the Heisenberg limit and is therefore optimal. Due to the use of approximate normalizable continuous-variable eigenstates, the Deutsch-Jozsa algorithm is probabilistic. The procedure estimates a value of an unknown parameter and solves the Deutsch-Jozsa problem without the use of any entanglement.
View less >
View more >We reveal a close relationship between quantum metrology and the Deutsch-Jozsa algorithm on continuous- variable quantum systems. We develop a general procedure, characterized by two parameters, that unifies parameter estimation and the Deutsch-Jozsa algorithm. Depending on which parameter we keep constant, the procedure implements either the parameter-estimation protocol or the Deutsch-Jozsa algorithm. The parameter-estimation part of the procedure attains the Heisenberg limit and is therefore optimal. Due to the use of approximate normalizable continuous-variable eigenstates, the Deutsch-Jozsa algorithm is probabilistic. The procedure estimates a value of an unknown parameter and solves the Deutsch-Jozsa problem without the use of any entanglement.
View less >
Journal Title
Physical Review A
Volume
82
Issue
4
Copyright Statement
© 2010 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Subject
Quantum Information, Computation and Communication
Quantum Optics
Mathematical Sciences
Physical Sciences
Chemical Sciences