State Preparation in the Heisenberg Model through Adiabatic Spiraling
arXiv:2210.04965 · doi:10.22331/q-2023-04-06-970
Abstract
An adiabatic state preparation technique, called the adiabatic spiral, is proposed for the Heisenberg model. This technique is suitable for implementation on a number of quantum simulation platforms such as Rydberg atoms, trapped ions, or superconducting qubits. Classical simulations of small systems suggest that it can be successfully implemented in the near future. A comparison to Trotterized time evolution is performed and it is shown that the adiabatic spiral is able to outperform Trotterized adiabatics.
arXiv comment22 pages, 8 figures, published version, fixed missing acknowledgment
References in corpus (128)
- Quantum information with Rydberg atoms
- Probing many-body dynamics on a 51-atom quantum simulator
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Observation of entanglement propagation in a quantum many-body system
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Non-local propagation of correlations in long-range interacting quantum systems
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- Toward the first quantum simulation with quantum speedup
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
- Simulating Lattice Gauge Theories within Quantum Technologies
- A Theory of Trotter Error
- Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
- Cloud Quantum Computing of an Atomic Nucleus
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- Quantum simulation and computing with Rydberg-interacting qubits
- Observation of topological phenomena in a programmable lattice of 1,800 qubits
- Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
- A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
- Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
- Pre-thermal phases of matter protected by time-translation symmetry
- A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
- SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
- Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
- Simulations of non-Abelian gauge theories with optical lattices
- Simulating lattice gauge theories on a quantum computer
- Coherent quantum annealing in a programmable 2000-qubit Ising chain
- A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
- Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
- QCD as a Quantum Link Model
- Optical Abelian Lattice Gauge Theories
- Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
- U(1) Wilson lattice gauge theories in digital quantum simulators
- Confinement and lattice QED electric flux-tubes simulated with ultracold atoms
- Observing the space- and time-dependent growth of correlations in dynamically tuned synthetic Ising antiferromagnets
- Scaling advantage in quantum simulation of geometrically frustrated magnets
- Quantum simulation of a lattice Schwinger model in a chain of trapped ions
- Digital lattice gauge theories
- Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
- Quantum Algorithms for Simulating the Lattice Schwinger Model
- Towards simulating 2D effects in lattice gauge theories on a quantum computer
- SU(2) hadrons on a quantum computer
- Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
- Towards analog quantum simulations of lattice gauge theories with trapped ions
- Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
- Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
- Real Time Dynamics and Confinement in the Schwinger-Weyl lattice model for 1+1 QED
- Gluon Field Digitization for Quantum Computers
- Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
- A resource efficient approach for quantum and classical simulations of gauge theories in particle physics
- A quantum algorithm for high energy physics simulations
- Gauge-invariant implementation of the Abelian Higgs model on optical lattices
- Detailed Balance of Thermalization dynamics in Rydberg atom quantum simulators
- Quantum Simulation of Lattice Gauge Theories in more than One Space Dimension -- Requirements, Challenges, Methods
- Dynamical topological transitions in the massive Schwinger model with a θ-term
- Universal Quantum Hamiltonians
- Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states
- Schwinger pair production with ultracold atoms
- Implementing quantum electrodynamics with ultracold atomic systems
- Gauss's Law, Duality, and the Hamiltonian Formulation of U(1) Lattice Gauge Theory
- SU(2) lattice gauge theory on a quantum annealer
- Reliability of lattice gauge theories
- Scaling and diabatic effects in quantum annealing with a D-Wave device
- Oracles for Gauss's law on digital quantum computers
- Quantum Simulation of the Abelian-Higgs Lattice Gauge Theory with Ultracold Atoms
- Real-time chiral dynamics from a digital quantum simulation
- Emergent perturbation independent decay of the Loschmidt echo in a many-spin system studied through scaled dipolar dynamics
- Preparation of the SU(3) Lattice Yang-Mills Vacuum with Variational Quantum Methods
- Gluon Field Digitization via Group Space Decimation for Quantum Computers
- Counterdiabatic Optimised Local Driving
- Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer
- Minimally-Entangled State Preparation of Localized Wavefunctions on Quantum Computers
- Single-particle digitization strategy for quantum computation of a scalar field theory
- Gauge protection in non-Abelian lattice gauge theories
- Collisions of false-vacuum bubble walls in a quantum spin chain
- D-Theory: Field Quantization by Dimensional Reduction of Discrete Variables
- Quantum simulation of scattering in the quantum Ising model
- Scalar Quantum Field Theories as a Benchmark for Near-Term Quantum Computers
- Long-range Heisenberg models in quasi-periodically driven crystals of trapped ions
- Qubit spin ice
- Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States
- Real time dynamics and proposal for feasible experiments of lattice gauge-Higgs model simulated by cold atoms
- Primitive Quantum Gates for an SU(2) Discrete Subgroup: BT
- Qubit regularization of asymptotic freedom
- Thermalization of Gauge Theories from their Entanglement Spectrum
- A qubit regularization of the sigma model
- Tuning the Topological -Angle in Cold-Atom Quantum Simulators of Gauge Theories
- Primitive Quantum Gates for Dihedral Gauge Theories
- Framework for simulating gauge theories with dipolar spin systems
- Improved Hamiltonians for Quantum Simulations
- Stabilizing lattice gauge theories through simplified local pseudo generators
- Simulating the Shastry-Sutherland Ising Model using Quantum Annealing
- Quantum Imaginary Time Evolution Algorithm for Quantum Field Theories with Continuous Variables
- From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories
- O(3) nonlinear sigma model in 1+1 dimensions with matrix product states
- Systematically Localizable Operators for Quantum Simulations of Quantum Field Theories
- Toward convergence of effective field theory simulations on digital quantum computers
- Scalable cold-atom quantum simulator for two-dimensional QED
- Accelerating lattice quantum field theory calculations via interpolator optimization using NISQ-era quantum computing
- Real-time quantum calculations of phase shifts using wave packet time delays
- Simulating 2+1d lattice gauge theory with iPEPS
- Boson-mediated quantum spin simulators in transverse fields: XY model and spin-boson entanglement
- Digitising SU(2) Gauge Fields and the Freezing Transition
- Loops and Strings in a Superconducting Lattice Gauge Simulator
- Towards Quantum Simulations in Particle Physics and Beyond on Noisy Intermediate-Scale Quantum Devices
- Engineering a U(1) lattice gauge theory in classical electric circuits
- Investigating a (3+1)D Topological -Term in the Hamiltonian Formulation of Lattice Gauge Theories for Quantum and Classical Simulations
- Scattering in the Ising Model Using Quantum Lanczos Algorithm
- Theoretical methods to design and test quantum simulators for the compact Abelian Higgs model
- Real-time dynamics in 2+1d compact QED using complex periodic Gaussian states
- Griffiths-McCoy singularity on the diluted Chimera graph: Monte Carlo simulations and experiments on the quantum hardware
- Digital-Analog Quantum Simulations Using The Cross-Resonance Effect
- Quantum Computation of Phase Transition in the Massive Schwinger Model
- Gauge Theory Couplings on Anisotropic Lattices
- From asymptotic freedom to vacua: Qubit embeddings of the O(3) nonlinear model
- Duality as a Feasible Physical Transformation
- Atomic quantum simulation of a three-dimensional U(1) gauge-Higgs model
- Quantum Simulation of the N flavor Gross-Neveu Model
- Engineering infinite-range SU() interactions with spin-orbit-coupled fermions in an optical lattice
- From Spin Ladders to the 2-d O(3) Model at Non-Zero Density
- High-frequency Expansion for Floquet Prethermal Phases with Emergent Symmetries: Application to Time Crystals and Floquet Engineering
- Strategies for quantum-optimized construction of interpolating operators in classical simulations of lattice quantum field theories
- Computing real time correlation functions on a hybrid classical/quantum computer
- Quantum Computation of the Massive Thirring Model
- Relationship between the transverse-field Ising model and the XY model via the rotating-wave approximation
- Improving Quantum Simulation Efficiency of Final State Radiation with Dynamic Quantum Circuits
- Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer
Cited by in corpus (6)
- Continuous Symmetry Breaking in a Trapped-Ion Spin Chain
- Simulating the Transverse Field Ising Model on the Kagome Lattice using a Programmable Quantum Annealer
- Quantum Simulation of Bound State Scattering
- Quantum metrology enhanced by the spin interaction in a generalized Tavis-Cummings model
- A differentiable programming framework for spin models
- Preparation of the single-spinon wave function on a quantum computer