A note concerning the modular valued von Neumann interaction operator

A note concerning the modular valued von Neumann interaction operator Quantum Stud.: Math. Found. CHAPMAN INSTITUTE FOR UNIVERSITY QUANTUM STUDIES https://doi.org/10.1007/s40509-018-0167-9 REGULAR PAPER A note concerning the modular valued von Neumann interaction operator A. D. Parks · S. E. Spence · J. M. Farinholt Received: 27 February 2018 / Accepted: 23 May 2018 © This is a U.S. government work and its text is not subject to copyright protection in the United States; however, its text may be subject to foreign copyright protection 2018 Abstract The modular valued operator V of the von Neumann interaction operator for a projector is defined. The properties of V are discussed and contrasted with those of the standard modular value of a projector. The associated notion of a faux qubit is introduced and its possible utility in quantum computation is noted. An experimental implementation of V is also highlighted. Keywords Modular value · von Neumann interaction operator · Projector · Weak values · Two slit experiment · Faux qubit · Quantum computing · Twin Mach–Zehnder interferometer The notion of the quantum modular value of a projection operator was introduced in 2010 by Kedem and Vaidman [1]. Because of the intrinsic relationship of such modular values to weak values, quantum foundations, and quantum computing, http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Studies: Mathematics and Foundations Springer Journals

A note concerning the modular valued von Neumann interaction operator

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Publisher
Springer Journals
Copyright
Copyright © 2018 by This is a U.S. government work and its text is not subject to copyright protection in the United States; however, its text may be subject to foreign copyright protection
Subject
Mathematics; Mathematical Physics; Theoretical, Mathematical and Computational Physics; Quantum Physics; History and Philosophical Foundations of Physics
ISSN
2196-5609
eISSN
2196-5617
D.O.I.
10.1007/s40509-018-0167-9
Publisher site
See Article on Publisher Site

Abstract

Quantum Stud.: Math. Found. CHAPMAN INSTITUTE FOR UNIVERSITY QUANTUM STUDIES https://doi.org/10.1007/s40509-018-0167-9 REGULAR PAPER A note concerning the modular valued von Neumann interaction operator A. D. Parks · S. E. Spence · J. M. Farinholt Received: 27 February 2018 / Accepted: 23 May 2018 © This is a U.S. government work and its text is not subject to copyright protection in the United States; however, its text may be subject to foreign copyright protection 2018 Abstract The modular valued operator V of the von Neumann interaction operator for a projector is defined. The properties of V are discussed and contrasted with those of the standard modular value of a projector. The associated notion of a faux qubit is introduced and its possible utility in quantum computation is noted. An experimental implementation of V is also highlighted. Keywords Modular value · von Neumann interaction operator · Projector · Weak values · Two slit experiment · Faux qubit · Quantum computing · Twin Mach–Zehnder interferometer The notion of the quantum modular value of a projection operator was introduced in 2010 by Kedem and Vaidman [1]. Because of the intrinsic relationship of such modular values to weak values, quantum foundations, and quantum computing,

Journal

Quantum Studies: Mathematics and FoundationsSpringer Journals

Published: May 31, 2018

References

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