Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Scheme for implementing dichotomic quantum measurements through non-ideal Stern–Gerlach setup

Scheme for implementing dichotomic quantum measurements through non-ideal Stern–Gerlach setup Positive operator-valued measures (POVMs) are the most general class of quantum measurements. There has been significant interest in the theory and possible implementations of generalized measurement in the form of POVMs. Such measurements are useful in the context of cryptography, state discrimination, preparation of arbitrary states and for monitoring quantum dynamics. As argued by Busch (Phys. Rev. D 33(8):2253–2261, 1986), the most general dichotomic POVMs are characterized by two real parameters known as sharpness and biasedness of measurements. Unbiased unsharp measurements have been demonstrated experimentally, for example using the quantum feedback stabilization of number of photons in a microwave cavity (Sayrin et al. Nat. (Lond.) 477:73, 2011), as well as in the context of energy measurements of trapped ions. However, to the best of our knowledge, unsharp biased measurements have not yet been probed experimentally. For this purpose, we propose in this work, an empirically realizable scheme using non-ideal Stern–Gerlach setup. The relevant formulation involves identifying one-to-one correspondences between biasedness, unsharpness of measurements and the key parameters characterizing non-ideal Stern–Gerlach setup. This study has the potential to be useful for the implementations of various quantum information tasks as well as for experiments related to quantum foundational studies based on POVMs. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Studies: Mathematics and Foundations Springer Journals

Scheme for implementing dichotomic quantum measurements through non-ideal Stern–Gerlach setup

Download PDF
14 pages

Loading next page...
1
 
/lp/springer_journal/scheme-for-implementing-dichotomic-quantum-measurements-through-non-0GWyMVTixx

References (25)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Chapman University
Subject
Mathematics; Mathematical Physics; Theoretical, Mathematical and Computational Physics; Quantum Physics; History and Philosophical Foundations of Physics
ISSN
2196-5609
eISSN
2196-5617
DOI
10.1007/s40509-018-0168-8
Publisher site
See Article on Publisher Site

Abstract

Positive operator-valued measures (POVMs) are the most general class of quantum measurements. There has been significant interest in the theory and possible implementations of generalized measurement in the form of POVMs. Such measurements are useful in the context of cryptography, state discrimination, preparation of arbitrary states and for monitoring quantum dynamics. As argued by Busch (Phys. Rev. D 33(8):2253–2261, 1986), the most general dichotomic POVMs are characterized by two real parameters known as sharpness and biasedness of measurements. Unbiased unsharp measurements have been demonstrated experimentally, for example using the quantum feedback stabilization of number of photons in a microwave cavity (Sayrin et al. Nat. (Lond.) 477:73, 2011), as well as in the context of energy measurements of trapped ions. However, to the best of our knowledge, unsharp biased measurements have not yet been probed experimentally. For this purpose, we propose in this work, an empirically realizable scheme using non-ideal Stern–Gerlach setup. The relevant formulation involves identifying one-to-one correspondences between biasedness, unsharpness of measurements and the key parameters characterizing non-ideal Stern–Gerlach setup. This study has the potential to be useful for the implementations of various quantum information tasks as well as for experiments related to quantum foundational studies based on POVMs.

Journal

Quantum Studies: Mathematics and Foundations – Springer Journals

Published: Jun 4, 2018

There are no references for this article.