A note concerning the modular valued von Neumann interaction operator

Abstract

The modular valued operator ${\hat{V}}_m$ of the von Neumann interaction operator for a projector is defined. The properties of ${\hat{V}}_m$ 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 ${\hat{V}}_m$ is also highlighted.

arXiv comment6 pages, no figures

References in corpus (6)

• Encoding a qubit in an oscillator
• Modular values and weak values of quantum observables
• Interferences in quantum eraser reveal geometric phases in modular and weak values
• Geometric description of modular and weak values in discrete quantum systems using the Majorana representation
• Full characterization of modular values for two-dimensional systems
• A Scheme for Performing Strong and Weak Sequential Measurements of Non-commuting Observables