Quantum Non-Local Nonstabilizerness

Understand

Quantum entanglement and quantum nonstabilizerness are fundamental resources that characterize distinct aspects of a quantum state: entanglement reflects non-local correlations, while nonstabilizerness quantifies the deviation from stabilizer states.

• A quantum state becomes a valuable resource for applications like universal quantum computation only when both quantities are present.
• Here, we propose that quantum non-local nonstabilizerness (NN) serves as an effective measure of this combined resource, incorporating both entanglement and nonstabilizerness.
• We demonstrate that NN can be precisely computed for two-qubit pure states, where it is directly related to the entanglement spectrum.