From quantum simulations of fermionic models to continuous-variable quantum computation

Stephen Shankland/CNET

Firstly, I will introduce digital-analog and purely digital methods for quantum simulations of fermionic models. The digital-analog approach provides a higher degree of scalability than purely digital or analog techniques, and it is suitable for implementing quantum simulations of interacting fermions and bosons in condensed matter, and quantum field theories [1]. Purely digital quantum simulations [2,3,4] are grouped under standard discrete-variable quantum computation, while analog quantum simulators with bosonic fields can be described with the language of continuous-variable (CV) quantum computation.

The second part of the talk is devoted to analyzing the factors that may yield quantum advantage. In particular, Wigner negativity is known to be a necessary resource for computational advantage in several quantum-computing architectures, including those based on continuous variables [5,6]. However, it is not a sufficient resource, and it is an open question under which conditions CV circuits displaying Wigner negativity offer the potential for quantum advantage. I will present large families of circuits that display large Wigner negativity and yet are classically efficiently simulatable [7], although they were not recognized as such by previously available theorems.

Ponente: Laura García-Álvarez. Chalmers University of Technology.

Fecha y hora: viernes, 16 de abril de 2021 a las 10:30. 

Lugar: Online. Enlace: https://meet.google.com/wmk-nsik-qyz

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