Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions

Abstract

We propose a method of simulating efficiently many-body interacting fermion lattice models in trapped ions, including highly nonlinear interactions in arbitrary spatial dimensions and for arbitrarily distant couplings. We map products of fermionic operators onto nonlocal spin operators and decompose the resulting dynamics in efficient steps with Trotter methods, yielding an overall protocol that employs only polynomial resources. The proposed scheme can be relevant in a variety of fields as condensed-matter or high-energy physics, where quantum simulations may solve problems intractable for classical computers.

5 pages, 2 figures + Supplementary Material

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• An Open-System Quantum Simulator with Trapped Ions
• Universal digital quantum simulation with trapped ions
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Quantum simulation of the Klein paradox with trapped ions
• Klein tunneling and Dirac potentials in trapped ions
• Optical conductivity of the Holstein polaron

Cited by in corpus (93)

• Quantum Simulation
• Quantum Algorithms for Quantum Field Theories
• Quantum chemistry calculations on a trapped-ion quantum simulator
• Digital quantum simulation of fermionic models with a superconducting circuit
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Quantum Implementation of Unitary Coupled Cluster for Simulating Molecular Electronic Structure
• Cold hybrid ion-atom systems
• From transistor to trapped-ion computers for quantum chemistry
• Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
• Adiabatic tracking of quantum many-body dynamics
• Quantum simulation of a lattice Schwinger model in a chain of trapped ions
• Scalable global entangling gates on arbitrary ion qubits
• Quantum computers as universal quantum simulators: state-of-art and perspectives
• Electron-Phonon Systems on a Universal Quantum Computer
• Linear Optics Simulation of Non-Markovian Quantum Dynamics
• Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits
• Digital Quantum Rabi and Dicke Models in Superconducting Circuits
• Digital Quantum Simulation of Spin Systems in Superconducting Circuits
• Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms
• Digital quantum computation of fermion-boson interacting systems
• Digital-Analog Quantum Simulations with Superconducting Circuits
• Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
• Digital Quantum Simulation of the Holstein Model in Trapped Ions
• Efficient Quantum Algorithm for Computing n-time Correlation Functions
• Demon-like Algorithmic Quantum Cooling and its Realization with Quantum Optics
• Digital-Analog Quantum Simulation of Spin Models in Trapped Ions
• Many-Body Interactions with Tunable-Coupling Transmon Qubits
• Analog quantum simulation of chemical dynamics
• Quantum Simulator for Transport Phenomena in Fluid Flows
• Qubit regularization of asymptotic freedom
• A qubit regularization of the $O(3)$ sigma model
• Few-qubit quantum-classical simulation of strongly correlated lattice fermions
• Nonlinear Quantum Rabi Model in Trapped Ions
• Counterdiabatic driving of the quantum Ising model
• Noise-resilient Quantum Computing with a Nitrogen-Vacancy Center and Nuclear Spins
• Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion
• Non-linear quantum-classical scheme to simulate non-equilibrium strongly correlated fermionic many-body dynamics
• Controlling quantum critical dynamics of isolated systems
• Quantum Simulation of Resonant Transitions for Solving the Eigen-problem of an Effective Water Hamiltonian
• Digital-analog quantum simulation of generalized Dicke models with superconducting circuits
• Digital Simulation of Topological Matter on Programmable Quantum Processors
• Hexagonal Plaquette Spin-spin Interactions and Quantum Magnetism in a Two-dimensional Ion Crystal
• Symmetry criteria for quantum simulability of effective interactions
• Quantum Simulation of Dissipative Processes without Reservoir Engineering
• Quantum simulation of bosonic-fermionic non-interacting particles in disordered systems via quantum walk
• Quantum Simulations of Relativistic Quantum Physics in Circuit QED
• Analog quantum simulation of generalized Dicke models in trapped ions
• A Dynamic Systems Approach to Fermions and Their Relation to Spins
• Linear and logarithmic time compositions of quantum many-body operators
• Fermion-antifermion scattering via boson exchange in a trapped ion
• Fermionic Models with Superconducting Circuits
• Pulsed Dynamical Decoupling for Fast and Robust Two-Qubit Gates on Trapped Ions
• Superconducting Circuit Architecture for Digital-Analog Quantum Computing
• Quantum Simulation of Tunneling in Small Systems
• Simulating para-Fermi oscillators
• Cooling of Many-Body Systems via Selective Interactions
• Linear-algebraic bath transformation for simulating complex open quantum systems
• A Study on Fast Gates for Large-Scale Quantum Simulation with Trapped Ions
• Analytical solutions of basic models in quantum optics
• Polaronic effects in one- and two-band quantum systems
• Quantum Simulation of Noncausal Kinematic Transformations
• Beyond adiabatic elimination: Effective Hamiltonians and singular perturbation
• Quantum Simulation of Spin Chains Coupled to Bosonic Modes with Superconducting Circuits
• Error-transparent evolution: the ability of multi-body interactions to bypass decoherence
• Simulating neutrino oscillations on a superconducting qutrit
• A digital quantum simulation of the Agassi model
• Micromotion-Enhanced Fast Entangling Gates For Trapped Ion Quantum Computing
• Digital quantum simulation of an extended Agassi model: Using machine learning to disentangle its phase-diagram
• Entanglement Measures in Ion-Trap Quantum Simulators without Full Tomography
• Topological Qubits with Majorana Fermions in Trapped Ions
• Space-time symmetric qubit regularization of the asymptotically free two-dimensional O(4) model
• Probabilistic Eigensolver with a Trapped-Ion Quantum Processor
• Voltage-controlled Hubbard spin transistor
• Theoretical basis for quantum simulation with a planar ionic crystal in a Penning trap using a triangular rotating wall
• Error-Mitigated Quantum Simulation of Interacting Fermions with Trapped Ions
• Greenberger-Horne-Zeilinger state generation in qubit-chains via a single $\pi /2$-pulse
• Improving direct state measurements by using rebits in real enlarged Hilbert spaces
• Experimenting quantum phenomena on NISQ computers using high level quantum programming
• Digital-Analog Counterdiabatic Quantum Optimization with Trapped Ions
• Quantum Simulation of the First-Quantized Pauli-Fierz Hamiltonian
• Time and spatial parity operations with trapped ions
• Quantum Simulation of Pairing Hamiltonians with Nearest-Neighbor Interacting Qubits
• Switchable Particle Statistics with an Embedding Quantum Simulator
• Implementation strategies for multiband quantum simulators of real materials
• Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach
• Particle-Hole Transformation in Strongly-Doped Iron-Based Superconductors
• Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis
• Enhancing the Charging Performance of Many-Body Quantum Batteries through Landau-Zener Driving
• Efficient quantum simulation of fermionic and bosonic models in trapped ions
• Continuous monitoring measured signals bounded by past and future conditions in enlarged quantum systems
• Improved Strategies for Fermionic Quantum Simulation with Global Interactions
• Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator