The authors define symplectic coherence, show that circuits with little of it can be classically simulated, and map this resource to coherence in discrete-variable quantum computing via the GKP encoding.
Resource Theory of Contextuality
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abstract
In addition to the important role of contextuality in foundations of quantum theory, this intrinsically quantum property has been identified as a potential resource for quantum advantage in different tasks. It is thus of fundamental importance to study contextuality from the point of view of resource theories, which provide a powerful framework for the formal treatment of a property as an operational resource. In this contribution we review recent developments towards a resource theory of contextuality and connections with operational applications of this property.
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Interplay of resources for universal continuous-variable quantum computing
The authors define symplectic coherence, show that circuits with little of it can be classically simulated, and map this resource to coherence in discrete-variable quantum computing via the GKP encoding.