Quantum Mechanics as a Framework for Dealing with Uncertainty

TL;DR

This paper explores quantum uncertainty, highlighting how quantum fuzziness and indeterminacy, once seen as obstacles, can be harnessed as resources, especially for approximate joint measurements of noncommuting observables.

Contribution

It introduces a framework where quantum fuzziness enables approximate joint measurements, reframing quantum uncertainty as a fundamental unsharpness in measurement.

Findings

Quantum fuzziness allows for approximate joint measurement of noncommuting observables.

Quantum uncertainty can be viewed as a limitation of measurability due to unsharp events.

Quantum events are fundamentally unsharp, reflecting a fuzzy event structure.

Abstract

Quantum uncertainty is described here in two guises: indeterminacy with its concomitant indeterminism of measurement outcomes, and fuzziness, or unsharpness. Both features were long seen as obstructions of experimental possibilities that were available in the realm of classical physics. The birth of quantum information science was due to the realization that such obstructions can be turned into powerful resources. Here we review how the utilization of quantum fuzziness makes room for a notion of approximate joint measurement of noncommuting observables. We also show how from a classical perspective quantum uncertainty is due to a limitation of measurability reflected in a fuzzy event structure -- all quantum events are fundamentally unsharp.