Experimental testing of entropic uncertainty relations with multiple measurements in pure diamond

TL;DR

This paper reports the first room-temperature experimental verification of entropic uncertainty relations involving three measurements in a three-dimensional solid-state system, confirming the fundamental quantum uncertainty principle.

Contribution

It provides the first experimental testing of entropic uncertainty relations with multiple measurements in a natural three-dimensional solid-state system at room temperature.

Findings

Entropic uncertainty relations with three measurements are confirmed experimentally.

Tighter uncertainty bounds are observed compared to two-measurement scenarios.

Results demonstrate fundamental quantum uncertainty in a solid-state system.

Abstract

One unique feature of quantum mechanics is the Heisenberg uncertainty principle, which states that the outcomes of two incompatible measurements cannot simultaneously achieve arbitrary precision. In an information-theoretic context of quantum information, the uncertainty principle can be formulated as entropic uncertainty relations with two measurements for a quantum bit (qubit) in two-dimensional system. New entropic uncertainty relations are studied for a higher-dimensional quantum state with multiple measurements, the uncertainty bounds can be tighter than that expected from two measurements settings and cannot result from qubits system with or without a quantum memory. Here we report the first room-temperature experimental testing of the entropic uncertainty relations with three measurements in a natural three-dimensional solid-state system: the nitrogen-vacancy center in pure diamond. The experimental results confirm the entropic uncertainty relations for multiple measurements. Our result represents a more precise demonstrating of the fundamental uncertainty principle of quantum mechanics.