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 (31)
- Fault-tolerant quantum computation by anyons
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- An Open-System Quantum Simulator with Trapped Ions
- Multi-particle entanglement of hot trapped ions
- Entanglement and quantum computation with ions in thermal motion
- Quantum information processing with circuit quantum electrodynamics
- Efficient quantum algorithms for simulating sparse Hamiltonians
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Digital quantum simulation of fermionic models with a superconducting circuit
- Realization of Deterministic Quantum Teleportation with Solid State Qubits
- Digital quantum simulation of spin models with circuit quantum electrodynamics
- From transistor to trapped-ion computers for quantum chemistry
- Quantum metamaterials: Electromagnetic waves in a Josephson qubit line
- Superconducting Circuits for Quantum Simulation of Dynamical Gauge Fields
- Motional Averaging in a Superconducting Qubit
- Simulating open quantum systems: from many-body interactions to stabilizer pumping
- Digital Quantum Rabi and Dicke Models in Superconducting Circuits
- Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
- Digital Quantum Simulation of Spin Systems in Superconducting Circuits
- Two-dimensional cavity grid for scalable quantum computation with superconducting circuits
- Topological states and braiding statistics using quantum circuits
- Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
- Digital Quantum Simulation of the Holstein Model in Trapped Ions
- 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
- Quantum simulation of Anderson and Kondo lattices with superconducting qubits
- Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions
Cited by in corpus (22)
- A Quantum Engineer's Guide to Superconducting Qubits
- Superconducting Qubits: Current State of Play
- Quantum information processing with superconducting circuits: a review
- Superconducting Quantum Computing: A Review
- Digital quantum simulation of fermionic models with a superconducting circuit
- Quantum computers as universal quantum simulators: state-of-art and perspectives
- Non-Abelian Lattice Gauge Theories in Superconducting Circuits
- Digital-Analog Quantum Simulations with Superconducting Circuits
- Few-qubit quantum-classical simulation of strongly correlated lattice fermions
- Emulating the one-dimensional Fermi-Hubbard model by a double chain of qubits
- Quantum gates and architecture for the quantum simulation of the Fermi-Hubbard model
- Digital quantum simulators in a scalable architecture of hybrid spin-photon qubits
- A method to efficiently simulate the thermodynamical properties of the Fermi-Hubbard model on a quantum computer
- Quantum chemistry and charge transport in biomolecules with superconducting circuits
- Superconducting quantum many-body circuits for quantum simulation and computing
- Beyond adiabatic elimination: Effective Hamiltonians and singular perturbation
- Analytical solutions of basic models in quantum optics
- Quantum Simulation of Spin Chains Coupled to Bosonic Modes with Superconducting Circuits
- Non-Equilibrium Dynamics of a Dissipative Two-Site Hubbard Model Simulated on IBM Quantum Computers
- Digital-analog quantum computing of fermion-boson models in superconducting circuits
- Controlling quantum many-body systems using reduced-order modelling
- Disordered impenetrable two-component fermions in one dimension