Logically reversible measurements: Construction and application

TL;DR

This paper introduces a method to construct logically reversible measurements from von Neumann measurements, establishing a relationship between their Shannon entropies and quantum discords, and demonstrating that the reversible measurement's quantum discord is always greater or equal.

Contribution

The paper presents a novel construction of logically reversible measurements from von Neumann measurements and analyzes their informational properties and quantum discord relations.

Findings

Quantum discord for reversible measurements is never less than for von Neumann measurements.

Established a compact connection between Shannon entropies of the two measurement types.

Proved that reversible measurements can enhance quantum discord.

Abstract

We show that for any von Neumann measurement, we can construct a logically reversible measurement such that Shannon entropies and quantum discords induced by the two measurements have compact connections. In particular, we prove that quantum discord for the logically reversible measurement is never less than that for the von Neumann measurement.