title: Digital quantum simulators in a scalable architecture of hybrid spin-photon qubits.
abstract: Resolving quantum many-body problems represents one of the greatest challenges in physics and physical chemistry, due to the prohibitively large computational resources that would be required by using classical computers. A solution has been foreseen by directly simulating the time evolution through sequences of quantum gates applied to arrays of qubits, i.e. by implementing a digital quantum simulator. Superconducting circuits and resonators are emerging as an extremely promising platform for quantum computation architectures, but a digital quantum simulator proposal that is straightforwardly scalable, universal, and realizable with state-of-the-art technology is presently lacking. Here we propose a viable scheme to implement a universal quantum simulator with hybrid spin-photon qubits in an array of superconducting resonators, which is intrinsically scalable and allows for local control. As representative examples we consider the transverse-field Ising model, a spin-1 Hamiltonian, and the two-dimensional Hubbard model and we numerically simulate the scheme by including the main sources of decoherence.
authors.affiliation: Dipartimento di Fisica e Scienze della Terra, Università di Parma, I-43124 Parma, Italy.
authors.forename: Alessandro
authors.initials: A
authors.lastname: Chiesa
authors.affiliation: Dipartimento di Fisica e Scienze della Terra, Università di Parma, I-43124 Parma, Italy.
authors.forename: Paolo
authors.initials: P
authors.lastname: Santini
authors.affiliation: Dipartimento di Fisica, Università di Pavia, via Bassi 6, I-27100 Pavia, Italy.
authors.forename: Dario
authors.initials: D
authors.lastname: Gerace
authors.affiliation: Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA.
authors.forename: James
authors.initials: J
authors.lastname: Raftery
authors.affiliation: Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA.
authors.forename: Andrew A
authors.initials: AA
authors.lastname: Houck
authors.affiliation: Dipartimento di Fisica e Scienze della Terra, Università di Parma, I-43124 Parma, Italy.
authors.forename: Stefano
authors.initials: S
authors.lastname: Carretta