Interaction graph engineering in trapped-ion quantum simulators with global drives
arXiv:2310.07859 · doi:10.1088/1367-2630/ad264d
Abstract
Trapped-ion quantum simulators have demonstrated a long history of studying the physics of interacting spin-lattice systems using globally addressed entangling operations. Here, we seek to broaden and delimit the classes of effective spin-spin interactions achievable using exclusively global driving fields. We find that new categories of interaction graphs become achievable with perfect or near-perfect theoretical fidelity by tailoring the coupling to each vibrational mode of the ion crystal, or by shaping the trapping potential to include specific anharmonic terms. We also derive a rigorous test to determine whether a desired interaction graph is accessible using only globally driven fields. These tools broaden the reach of trapped-ion quantum simulators so that they may more easily address open questions in materials science and quantum chemistry.
arXiv comment27 pages, including 11 figures and 4 appendices
References in corpus (57)
- The density-matrix renormalization group in the age of matrix product states
- Quantum Simulation
- Efficient classical simulation of slightly entangled quantum computations
- Measuring entanglement entropy through the interference of quantum many-body twins
- Multi-particle entanglement of hot trapped ions
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Many-body localization in a quantum simulator with programmable random disorder
- Effective quantum spin systems with ion traps
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Non-local propagation of correlations in long-range interacting quantum systems
- Optimal Hamiltonian Simulation by Quantum Signal Processing
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
- High-fidelity quantum logic gates using trapped-ion hyperfine qubits
- Simulating Hamiltonian dynamics with a truncated Taylor series
- Universal digital quantum simulation with trapped ions
- Quantum dynamics of cold trapped ions, with application to quantum computation
- High-Fidelity Universal Gate Set for Be Ion Qubits
- Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
- Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
- Quantum chemistry calculations on a trapped-ion quantum simulator
- Single ion-qubit exceeding one hour coherence time
- Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
- Minimal Universal Two-qubit Quantum Circuits
- Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
- Non-equilibrium quantum magnetism in a dipolar lattice gas
- Observation of a prethermal discrete time crystal
- Large Scale Quantum Computation in an Anharmonic Linear Ion Trap
- Cryogenic Trapped-Ion System for Large Scale Quantum Simulation
- Scalable global entangling gates on arbitrary ion qubits
- Quantum Simulation of Spin Models on an Arbitrary Lattice with Trapped Ions
- Individual addressing of trapped ions and coupling of motional and spin states using rf radiation
- Designer Spin Pseudomolecule Implemented with Trapped Ions in a Magnetic Gradient
- Measuring the Renyi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer
- Robust entanglement gates for trapped-ion qubits
- High Speed, High Fidelity Detection of an Atomic Hyperfine Qubit
- Phonon-phonon interactions due to non-linear effects in a linear ion trap
- Engineering vibrationally-assisted energy transfer in a trapped-ion quantum simulator
- Compiling quantum algorithms for architectures with multi-qubit gates
- Active Stabilization of Ion Trap Radiofrequency Potentials
- Ion Coulomb Crystals
- Direct observation of geometric phase in dynamics around a conical intersection
- Many-body quantum teleportation via operator spreading in the traversable wormhole protocol
- Precise Experimental Investigation of Eigenmodes in a Planar Ion Crystal
- Controlling two-dimensional Coulomb crystals of more than 100 ions in a monolithic radio-frequency trap
- Theory of robust multi-qubit non-adiabatic gates for trapped-ions
- Use of global interactions in efficient quantum circuit constructions
- 2D ion crystals in radiofrequency traps for quantum simulation
- Double-EIT Ground-State Cooling of Stationary Two-Dimensional Ion Lattices
- Radial two-dimensional ion crystals in a linear Paul trap
- Efficient construction of three- and four-qubit quantum gates by global entangling gates
- Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
- Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices
- Robust two-qubit trapped ions gates using spin-dependent squeezing
- Quantum Computation of Hydrogen Bond Dynamics and Vibrational Spectra
- Sympathetic cooling in a large ion crystal