Quantifying Qubit Magic Resource with Gottesman-Kitaev-Preskill Encoding

Understand

Quantum resource theories are a powerful framework to characterize and quantify relevant quantum phenomena and identify processes that optimize their use for different tasks.

• Here, we define a resource measure for magic, the sought-after property in most fault-tolerant quantum computers.
• In contrast to previous literature, our formulation is based on bosonic codes, well-studied tools in continuous-variable quantum computation.
• Particularly, we use the Gottesman-Kitaev-Preskill code to represent multi-qubit states and consider the resource theory for the Wigner negativity.