Quantifying Qubit Magic Resource with Gottesman-Kitaev-Preskill Encoding
Journal article, 2022

Quantum resource theories are a powerful framework for characterizing and quantifying relevant quantum phenomena and identifying 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 multiqubit states and consider the resource theory for the Wigner negativity. Our techniques are useful in finding resource lower bounds for different applications as state conversion and gate synthesis. The analytical expression of our magic measure allows us to extend current analysis limited to small dimensions, easily addressing systems of up to 12 qubits.

Author

Oliver Hahn

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Alessandro Ferraro

Queen's University Belfast

Lina Hultquist

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Giulia Ferrini

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Laura García Álvarez

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Physical Review Letters

0031-9007 (ISSN) 1079-7114 (eISSN)

Vol. 128 21 210502

Subject Categories

Embedded Systems

Computer Science

Computer Systems

DOI

10.1103/PhysRevLett.128.210502

PubMed

35687462

More information

Latest update

6/27/2022