Quantum-memory-assisted entropic uncertainty relation with a single nitrogen-vacancy center in diamond

TL;DR

This paper proposes a method to test quantum-memory-assisted entropic uncertainty relations using a single nitrogen-vacancy center in diamond, enabling local electronic measurements to witness entanglement between spins.

Contribution

It introduces a practical approach for testing entropic uncertainty relations with a single N-V center, advancing experimental quantum information processing.

Findings

Feasible testing of entropic uncertainty relations with N-V centers.

Demonstration of entanglement witnessing between electron and nuclear spins.

Potential for implementation with current technology.

Abstract

The limitation of simultaneous measurements of noncommuting observables can be eliminated when the measured particle is maximally entangled with a quantum memory. We present a proposal for testing this quantum-memory-assisted entropic uncertainty relation in a single nitrogen-vacancy (N-V) center in diamond only by local electronic measurements. As an application, this entropic uncertainty relation is used to witness entanglement between the electron and nuclear spins of the N-V center, which is close to the reach of currently available technology.