Programmable quantum simulations on a trapped-ions quantum simulator with a global drive

Abstract

Simulation of quantum systems is notoriously challenging for classical computers, while quantum hardware is naturally well-suited for this task. However, the imperfections of contemporary quantum systems poses a considerable challenge in carrying out accurate simulations over long evolution times. Here we experimentally demonstrate a method for quantum simulations on a small-scale trapped ions-based quantum simulator. Our method enables quantum simulations of programmable spin-Hamiltonians, using only simple global fields, driving all qubits homogeneously and simultaneously. We measure the evolution of a quantum Ising ring and accurately reconstruct the Hamiltonian parameters, showcasing an accurate and high-fidelity simulation. Our method enables a significant reduction in the required control and depth of quantum simulations, thus generating longer evolution times with higher accuracy.

Any comments are welcome

References in corpus (30)

• Quantum Computing in the NISQ era and beyond
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• High-fidelity quantum logic gates using trapped-ion hyperfine qubits
• High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
• Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
• High-Fidelity Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• Single ion-qubit exceeding one hour coherence time
• Single-qubit quantum memory exceeding $10$-minute coherence time
• Observation of a prethermal discrete time crystal
• Robust Online Hamiltonian Learning
• High-fidelity laser-free universal control of two trapped ion qubits
• Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor
• Learning a local Hamiltonian from local measurements
• High-Fidelity Bell-State Preparation with ${}^{40}$Ca${}^{+}$ Optical Qubits
• Observation of Domain Wall Confinement and Dynamics in a Quantum Simulator
• Observing emergent hydrodynamics in a long-range quantum magnet
• Robust entanglement gates for trapped-ion qubits
• Efficient Arbitrary Simultaneously Entangling Gates on a trapped-ion quantum computer
• Accurately computing electronic properties of a quantum ring
• Precision measurement of atomic isotope shifts using a two-isotope entangled state
• Theory of robust multi-qubit non-adiabatic gates for trapped-ions
• Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
• Programmable quantum simulation by dynamic Hamiltonian engineering
• Direct reconstruction of the quantum master equation dynamics of a trapped ion qubit
• Quadrupole shift cancellation using dynamic decoupling
• Engineering spin-spin interactions with optical tweezers in trapped ions
• Heisenberg-limited Rabi spectroscopy
• Fast multi-qubit global-entangling gates without individual addressing of trapped ions
• Interaction graph engineering in trapped-ion quantum simulators with global drives

Cited by in corpus (2)

• Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis
• Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach