Description
Quantum resources such as magic, quasi-probabilistic negativity and entanglement are necessary for quantum advantage. However, the presence of noise provides a mechanism for the potential decay of quantum resources and the onset of efficient classical simulability. Classical simulations of noisy quantum circuits are instrumental to our understanding of the behavior of real-world quantum systems and the identification of regimes where one expects quantum advantage.
Our work focuses on using mixed state decompositions (unravelings) to study the noise-induced decay of magic. A mixed state can be decomposed into a convex combination of pure states in many ways. We develop new tools for optimizing over this degree of freedom to find mixed state decompositions with minimal magic. We also explore new methods that store and utilize noise in ways that push the boundaries of noise-induced magic decay, using it to significantly speed up the classical simulation of noisy quantum systems. This approach makes simulating noisy quantum circuits less computationally intensive; a crucial step for a better understanding of the behavior of real-world quantum systems and the identification of regimes where one expects quantum advantage.
| I am the presenting author | Yes |
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