Kavli Affiliate: Jing Wang
| First 5 Authors: Dongheng Qian, Jing Wang, , ,
| Summary:
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. We then extend the definition of NN to mixed states and explore its
presence in many-body quantum systems, revealing that the two-point NN decays
according to a power law in critical states. Furthermore, we explore
measurement-induced NN and uncover an intriguing phenomenon termed
"nonstabilizerness swapping", analogous to entanglement swapping, wherein
post-measurement NN decays more slowly than any pre-measurement correlations.
Our results thus represent a pivotal step towards accurately quantifying the
"quantumness" of a state and reveal the potential for manipulating this
resource through measurements.
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