Digital quantum simulation of the BCS model with a central-spin-like quantum processor

Abstract

The simulation of quantum systems is one of the most promising applications of quantum computers. In this paper we present a quantum algorithm to perform digital quantum simulations of the BCS model on a quantum register with a star shaped connectivity map, as it is, e.g., featured by color centers in diamond. We show how to effectively translate the problem onto the quantum hardware and implement the algorithm using only the native interactions between the qubits. Furthermore we discuss the complexity of the circuit. We use the algorithm to simulate the dynamics of the BCS model by subjecting its mean-field ground state to a time-dependent perturbation. The quantum simulation algorithm is studied using a classical simulation.

16 pages, 8 figures

References in corpus (6)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Surface codes: Towards practical large-scale quantum computation
• Simulated Quantum Computation of Molecular Energies
• Simulating Hamiltonian dynamics with a truncated Taylor series
• High-fidelity projective readout of a solid-state spin quantum register
• Quantum Quench in the Transverse Field Ising Chain

Cited by in corpus (6)

• Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer
• High-Fidelity Entangling Gates for Electron and Nuclear Spin Qubits in Diamond
• Finding the Dynamics of an Integrable Quantum Many-Body System via Machine Learning
• Suppression of coherent errors during entangling operations in NV centers in diamond
• The Virtual Quantum Device (VQD): A tool for detailed emulation of quantum computers
• The universe as a nonlinear quantum simulation: Large $n$ limit of the central spin model