Universal quantum processors in spin systems via robust local pulse sequences
arXiv:2311.10600 · doi:10.22331/q-2024-10-29-1513
Abstract
We propose a protocol to realize quantum simulation and computation in spin systems with long-range interactions. Our approach relies on the local addressing of single spins with external fields parametrized by Walsh functions. This enables a mapping from a class of target Hamiltonians, defined by the graph structure of their interactions, to pulse sequences. We then obtain a recipe to implement arbitrary two-body Hamiltonians and universal quantum circuits. Performance guarantees are provided in terms of bounds on Trotter errors and total number of pulses. Additionally, Walsh pulse sequences are shown to be robust against various types of pulse errors, in contrast to previous hybrid digital-analog schemes of quantum computation. We demonstrate and numerically benchmark our protocol with examples from the dynamics of spin models, quantum error correction and quantum optimization algorithms.
22+16 pages, 6+2 figures; v3: general revision, added a subsection about implementation with ultracold polar molecules
References in corpus (77)
- Surface codes: Towards practical large-scale quantum computation
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- NMR Techniques for Quantum Control and Computation
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Quantum Approximate Optimization Algorithm: Performance, Mechanism, and Implementation on Near-Term Devices
- Building logical qubits in a superconducting quantum computing system
- Probing entanglement entropy via randomized measurements
- Efficient Z-Gates for Quantum Computing
- Toward the first quantum simulation with quantum speedup
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- A Theory of Trotter Error
- Digitized adiabatic quantum computing with a superconducting circuit
- Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays
- Tools for quantum simulation with ultracold atoms in optical lattices
- High-threshold and low-overhead fault-tolerant quantum memory
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Dipolar physics: A review of experiments with magnetic quantum gases
- Many-body interferometry of a Rydberg-dressed spin lattice
- Entangling Atomic Spins with a Strong Rydberg-Dressed Interaction
- Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
- Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
- Coherent many-body spin dynamics in a long-range interacting Ising chain
- Building one molecule from a reservoir of two atoms
- Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
- Continuous Symmetry Breaking in a Two-dimensional Rydberg Array
- Scalable quantum circuit and control for a superconducting surface code
- Programmable Interactions and Emergent Geometry in an Atomic Array
- Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
- Universal gates based on targeted phase shifts in a 3D neutral atom array
- Quantum Spin Dynamics with Pairwise-Tunable, Long-Range Interactions
- Quantum magnetism and topological ordering via enhanced Rydberg-dressing near Förster-resonances
- Realizing spin squeezing with Rydberg interactions in a programmable optical clock
- On-Demand Entanglement of Molecules in a Reconfigurable Optical Tweezer Array
- Machine Learning Assisted Many-Body Entanglement Measurement
- Second-Scale Nuclear Spin Coherence Time of Trapped Ultracold NaK Molecules
- Quantum optimization with arbitrary connectivity using Rydberg atom arrays
- Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
- Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
- Long-lived Bell states in an array of optical clock qubits
- Digital-Analog Quantum Computation
- Digital-Analog Quantum Simulations with Superconducting Circuits
- Fermionic quantum processing with programmable neutral atom arrays
- Shortest Route to Non-Abelian Topological Order on a Quantum Processor
- Prospects for Quantum Computing with an Array of Ultracold Polar Paramagnetic Molecules
- Robust quantum state transfer via topologically protected edge channels in dipolar arrays
- Learning many-body Hamiltonians with Heisenberg-limited scaling
- Digital-Analog Quantum Simulation of Spin Models in Trapped Ions
- Spin Squeezing by Rydberg Dressing in an Array of Atomic Ensembles
- Noiseless Quantum Circuits for the Peres Separability Criterion
- Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
- Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator
- Decompositions of complete graphs into cycles of arbitrary lengths
- Spatially tunable spin interactions in neutral atom arrays
- Dynamical engineering of interactions in qudit ensembles
- Experimental observation of thermalization with noncommuting charges
- Observation of magnon bound states in the long-range, anisotropic Heisenberg model
- Long-Lived Circular Rydberg Qubits of Alkaline-Earth Atoms in Optical Tweezers
- Two-axis twisting using Floquet-engineered XYZ spin models with polar molecules
- Universal Quantum Computation in Globally Driven Rydberg Atom Arrays
- Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
- Programmable quantum simulation by dynamic Hamiltonian engineering
- Array of Individual Circular Rydberg Atoms Trapped in Optical Tweezers
- Digital-Analog Quantum Simulations Using The Cross-Resonance Effect
- A randomized measurement toolbox for an interacting Rydberg-atom quantum simulator
- Enhanced connectivity of quantum hardware with digital-analog control
- Millisecond-lived circular Rydberg atoms in a room-temperature experiment
- Solving optimization problems with local light shift encoding on Rydberg quantum annealers
- Mitigating noise in digital and digital-analog quantum computation
- Digital-Analog Quantum Computation with Arbitrary Two-Body Hamiltonians
- Higher-Order Methods for Hamiltonian Engineering Pulse Sequence Design
- Floquet engineering from long-range to short-range interactions
- Efficient Hamiltonian programming in qubit arrays with nearest-neighbour couplings
- Rescaling interactions for quantum control
- Generating Target Graph Couplings for QAOA from Native Quantum Hardware Couplings
Cited by in corpus (4)
- Quantum Optimization on Rydberg Atom Arrays with Arbitrary Connectivity: Gadgets Limitations and a Heuristic Approach
- General, efficient, and robust Hamiltonian engineering
- Walsh-Floquet Theory of Periodic Kick Drives
- Color it, Code it, Cancel it: k-local dynamical decoupling from classical additive codes