Stabilizer Rényi Entropy
University of Massachusetts Boston · Centre National de la Recherche Scientifique · +2 more institutions
Abstract
We introduce a novel measure for the quantum property of "nonstabilizerness"-commonly known as "magic"-by considering the Rényi entropy of the probability distribution associated to a pure quantum state given by the square of the expectation value of Pauli strings in that state. We show that this is a good measure of nonstabilizerness from the point of view of resource theory and show bounds with other known measures. The stabilizer Rényi entropy has the advantage of being easily computable because it does not need a minimization procedure. We present a protocol for an experimental measurement by randomized measurements. We show that the nonstabilizerness is intimately connected to out-of-time-order…
Citation impact
- FWCI
- 29.41
- Percentile
- 100%
- References
- 58
Authors
3- LLLorenzo LeoneCorresponding
University of Massachusetts Boston
- SFSalvatore F. E. Oliviero
University of Massachusetts Boston
- AHAlioscia Hamma
Centre National de la Recherche Scientifique, University of Massachusetts Boston, Laboratoire de Physique et Modélisation des Milieux Condensés, Université Grenoble Alpes
Topics & keywords
- Entropy (arrow of time)
- Pauli exclusion principle
- Statistical physics
- Rényi entropy
- Quantum discord
- Joint quantum entropy
- Quantum relative entropy
- Quantum