Fermionic Models with Superconducting Circuits
arXiv:1411.2465 · doi:10.1140/epjqt/s40507-015-0021-5
Abstract
We propose a method for the efficient quantum simulation of fermionic systems with superconducting circuits. It consists in the suitable use of Jordan-Wigner mapping, Trotter decomposition, and multiqubit gates, be with the use of a quantum bus or direct capacitive couplings. We apply our method to the paradigmatic cases of 1D and 2D Fermi-Hubbard models, involving couplings with nearest and next-nearest neighbours. Furthermore, we propose an optimal architecture for this model and discuss the benchmarking of the simulations in realistic circuit quantum electrodynamics setups.
Published in EPJ Quantum Technology
References in corpus (13)
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- An Open-System Quantum Simulator with Trapped Ions
- Quantum information processing with circuit quantum electrodynamics
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Digital quantum simulation of fermionic models with a superconducting circuit
- Digital quantum simulation of spin models with circuit quantum electrodynamics
- Quantum metamaterials: Electromagnetic waves in a Josephson qubit line
- Digital Quantum Rabi and Dicke Models in Superconducting Circuits
- Two-dimensional cavity grid for scalable quantum computation with superconducting circuits
- Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
- Many-Body Interactions with Tunable-Coupling Transmon Qubits
- Fully-connected network of superconducting qubits in a cavity
- Demonstrating W-type Entanglement of Dicke-States in Resonant Cavity Quantum Electrodynamics