Digital Quantum Simulation of Spin Systems in Superconducting Circuits

Abstract

We propose the implementation of a digital quantum simulator for prototypical spin models in a circuit quantum electrodynamics architecture. We consider the feasibility of the quantum simulation of Heisenberg and frustrated Ising models in transmon qubits coupled to coplanar waveguide microwave resonators. Furthermore, we analyze the time evolution of these models and compare the ideal spin dynamics with a realistic version of the proposed quantum simulator. Finally, we discuss the key steps for developing the toolbox of digital quantum simulators in superconducting circuits.

5 pages, 3 figures, accepted in Physical Review Letters

References in corpus (8)

• Charge insensitive qubit design derived from the Cooper pair box
• Coupling Superconducting Qubits via a Cavity Bus
• Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
• Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits
• Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
• Multi-mode mediated exchange coupling in cavity QED
• Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED
• Circuit QED and sudden phase switching in a superconducting qubit array

Cited by in corpus (85)

• A Quantum Engineer's Guide to Superconducting Qubits
• Superconducting Qubits: Current State of Play
• Quantum information processing with superconducting circuits: a review
• Quantum optimization using variational algorithms on near-term quantum devices
• Superconducting Quantum Computing: A Review
• Digital quantum simulation of spin models with circuit quantum electrodynamics
• Quantum Simulation with Interacting Photons
• Quantum computers as universal quantum simulators: state-of-art and perspectives
• Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits
• Digital Quantum Rabi and Dicke Models in Superconducting Circuits
• Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits
• Digital-Analog Quantum Simulations with Superconducting Circuits
• Scalable High-Performance Fluxonium Quantum Processor
• Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities
• Recent progress in quantum simulation using superconducting circuits
• Broadband Filters for Abatement of Spontaneous Emission in Circuit Quantum Electrodynamics
• Fast logic with slow qubits: microwave-activated controlled-Z gate on low-frequency fluxoniums
• Many-Body Interactions with Tunable-Coupling Transmon Qubits
• Bounding the costs of quantum simulation of many-body physics in real space
• Towards Pricing Financial Derivatives with an IBM Quantum Computer
• Genetic Algorithms for Digital Quantum Simulations
• Optimal Control for the Quantum Simulation of Nuclear Dynamics
• Large-scale Ising Emulation with Four-Body Interaction and All-to-All Connection
• Floquet quantum simulation with superconducting qubits
• Blueprint of a Molecular Spin Quantum Processor
• Digital Simulation of Topological Matter on Programmable Quantum Processors
• Spin many-body phases in standard and topological waveguide QED simulators
• Quantum algorithms for approximate function loading
• Optimal compression of quantum many-body time evolution operators into brickwall circuits
• 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
• Hamiltonian operator approximation for energy measurement and ground state preparation
• Fermionic Models with Superconducting Circuits
• Quantum coherence in a compass chain under an alternating magnetic field
• Accelerated variational algorithms for digital quantum simulation of many-body ground states
• A steady state quantum classifier
• Quantum phase transition in a multi-connected superconducting Jaynes-Cummings lattice
• Optimal Trotterization in universal quantum simulators under faulty control
• Realizing time crystals in discrete quantum few-body systems
• Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
• Quantum chemistry and charge transport in biomolecules with superconducting circuits
• Linear-algebraic bath transformation for simulating complex open quantum systems
• Superconducting quantum many-body circuits for quantum simulation and computing
• Analytical solutions of basic models in quantum optics
• Quantum Simulation of Spin Chains Coupled to Bosonic Modes with Superconducting Circuits
• Beyond adiabatic elimination: Effective Hamiltonians and singular perturbation
• Ultrastrong-coupling quantum-phase-transition phenomena in a few-qubit circuit QED system
• Experimental Demonstration of Quantum Tunneling in IBM Quantum Computer
• Spin-1 models in the ultrastrong coupling regime of circuit QED
• Quantum information scrambling in the presence of weak and strong thermalization
• Adiabatic quantum simulations with driven superconducting qubits
• Optimizing QAOA: Success Probability and Runtime Dependence on Circuit Depth
• Tomographic discord for a system of two coupled nanoelectric circuits
• Superconducting qubit circuit emulation of a vector spin-1/2
• Interacting Circular Rydberg Atoms Trapped in Optical Tweezers
• Quantum phase transition in a multiconnected Jaynes-Cummings lattice
• Quantum Atom Optics: Theory and Applications to Quantum Technology
• Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
• Self assembled Wigner crystals as mediators of spin currents and quantum information
• Tunable photon-mediated interactions between spin-1 systems
• A superconducting circuit probe for analog quantum simulators
• Spectral features of polaronic excitations in a superconducting analog simulator
• Electromechanical Quantum Simulators
• Switchable Particle Statistics with an Embedding Quantum Simulator
• Quantum Simulation of Pairing Hamiltonians with Nearest-Neighbor Interacting Qubits
• Mott insulator-superfluid phase transition in a detuned multi-connected Jaynes-Cummings lattice
• Analyzing the spectral density of a perturbed analog quantum simulator using Keldysh formalism
• Exact mobility edges in quasiperiodic network models with slowly varying potentials
• Edge states in quantum spin chains: the interplay among interaction, gradient magnetic field and Floquet engineering
• Quantum simulation and ground state preparation for the honeycomb Kitaev model
• Excitation dynamics in inductively coupled fluxonium circuits
• Digital Quantum Simulations of Spin Models on Hybrid Platform and Near-Term Quantum Processors
• Microwave Engineering of Tunable Spin Interactions with Superconducting Qubits
• Efficient quantum simulation of fermionic and bosonic models in trapped ions
• Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits
• Protected ground states in short chains of coupled spins in circuit quantum electrodynamics
• Cheaper and more noise-resilient quantum state preparation using eigenvector continuation
• Defect engineering spin centers in interacting many-body Su-Schrieffer-Heeger chains
• Extending Qubit Coherence Time via Hybrid Dynamical Decoupling
• Locally controlled arrested thermalization
• Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator
• Quantum Chaos and Universal Trotterisation Behaviours in Digital Quantum Simulations
• Simulation of Lennard-Jones Potential on a Quantum Computer
• Preparation of Many-body Ground States by Time Evolution with Variational Microscopic Magnetic Fields and Incomplete Interactions