Quantum Simulation of Pairing Hamiltonians with Nearest-Neighbor Interacting Qubits

TL;DR

This paper proposes algorithms for simulating pairing Hamiltonians using solid-state qubits with nearest-neighbor interactions, demonstrating their potential feasibility with current technology and providing methods to extract energy spectra.

Contribution

It introduces a complete set of quantum simulation algorithms tailored for pairing Hamiltonians on solid-state qubits with nearest-neighbor interactions, including fidelity analysis and measurement schemes.

Findings

Numerical fidelity studies of the simulation algorithms.

Comparison of algorithms for different Hamiltonian types.

Design of a measurement scheme for energy spectra extraction.

Abstract

Although a universal quantum computer is still far from reach, the tremendous advances in controllable quantum devices, in particular with solid-state systems, make it possible to physically implement "quantum simulators". Quantum simulators are physical setups able to simulate other quantum systems efficiently that are intractable on classical computers. Based on solid-state qubit systems with various types of nearest-neighbor interactions, we propose a complete set of algorithms for simulating pairing Hamiltonians. Fidelity of the target states corresponding to each algorithm is numerically studied. We also compare algorithms designed for different types of experimentally available Hamiltonians and analyze their complexity. Furthermore, we design a measurement scheme to extract energy spectra from the simulators. Our simulation algorithms might be feasible with state-of-the-art technology in solid-state quantum devices.