Remote State Preparation for Quantum Fields
Remote state preparation is generation of a desired state by a remote observer. In spite of causality, it is well known, according to the Reeh–Schlieder theorem, that it is possible for relativistic quantum field theories, and a “physical” process achieving this task, involving superoscillatory functions, has recently been introduced. In this work we deal with non-relativistic fields, and show that remote state preparation is also possible for them, hence obtaining a Reeh–Schlieder-like result for general fields. Interestingly, in the nonrelativistic case, the process may rely on completely different resources than the ones used in the relativistic case.
KeywordsRemote state preparation Quantum fields Superoscillations Reeh-Schlieder theorem
The authors wish to thank B. Reznik and O. Kenneth for helpful discussions. EZ acknowledges the support of the Alexander-von-Humboldt foundation.
- 6.Haag, R.: Local Quantum Physics: Fields. Algebras, Texts and Monographs in Physics Springer, Particles (1996). ISBN 9783540610496Google Scholar
- 9.Berry, M.: Celebration of the 60th Birthday of Yakir Aharonov. World Scientific, Singapore, pp. 55–65 (1994a)Google Scholar
- 12.Flanders, H.: Differential Forms with Applications to the Physical Sciences. Dover Publications, Mineola (1989)Google Scholar
- 15.Arfken, G.B., Weber, H.J.: Mathematical Methods for Physicists: A Comprehensive Guide. Academic Press (2012)Google Scholar
- 18.Peskin, M.E., Schroeder, D.V.: An Introduction To Quantum Field Theory. Westview Press (1995)Google Scholar