Seminario impartido por Laura García-Álvarez. Chalmers University of Technology.
Abstract: 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.
References:
[1] L. García-Álvarez et al., Fermion-fermion scattering in quantum field theory with superconducting circuits, Phys. Rev. Lett. 114, 070502 (2015).
[2] R. Barends et al., Digital quantum simulation of fermionic models with a superconducting circuit, Nat. Commun. 6, 7654 (2015).
[3] J. M. Kreula et al., Few-qubit quantum-classical simulation of strongly correlated lattice fermions, EPJ Quantum Technology 3, 11 (2016).
[4] L. García-Álvarez et al., Digital quantum simulation of minimal AdS/CFT, Phys. Rev. Lett. 119, 040501 (2017).
[5] A. Mari and J. Eisert, Phys. Rev. Lett. 109, 230503 (2012).
[6] V. Veitch, N. Wiebe, C. Ferrie, and J. Emerson, New J. of Phys. 15, 013037 (2013).
[7] L. García-Álvarez et al., Efficient simulatability of continuous-variable circuits with large Wigner negativity, Phys. Rev. Research 2, 043322 (2020).
- Fecha: Viernes 16 de Abril 2021
- Lugar: https://meet.google.com/wmk-nsik-qyz
- Horario: 10:30 h.
- Organiza: Grupo de Física Estadística de los Sistemas Complejos
- Más información:
Daniel Manzano
Electromagnetism and Condensed Matter Department
Institute “Carlos I” for Theoretical and Computational Physics
manzano@onsager.ugr.es