Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis

Abstract

We study the use of global drives with multiple frequency components to improve the efficiency of trapped ion quantum simulations and computations. We show that such `multi-mode' global drives, when combined with a linear number of single-qubit rotations, generate universal Ising-type interactions with shorter overall runtimes than corresponding two-qubit gate implementations. Further, we show how this framework may be extended to efficiently generate $n-$body interactions between any subset $n$ of the ion qubits. Finally, we apply these techniques to encode the Quantum Fourier Transform using quadratically-fewer entangling operations, with quadratically smaller runtime, compared with traditional approaches.

23 pages, 10 figures

References in corpus (51)

• Quantum Computing in the NISQ era and beyond
• Elementary gates for quantum computation
• Two-Bit Gates are Universal for Quantum Computation
• Multi-particle entanglement of hot trapped ions
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Non-local propagation of correlations in long-range interacting quantum systems
• Demonstration of a small programmable quantum computer with atomic qubits
• High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
• High-fidelity quantum logic gates using trapped-ion hyperfine qubits
• Universal digital quantum simulation with trapped ions
• High-Fidelity Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• Simulation of Electronic Structure Hamiltonians Using Quantum Computers
• 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
• Overhead and noise threshold of fault-tolerant quantum error correction
• A Race Track Trapped-Ion Quantum Processor
• A quantum information processor with trapped ions
• Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
• Demonstration of fault-tolerant universal quantum gate operations
• Quantum Approximate Optimization of the Long-Range Ising Model with a Trapped-Ion Quantum Simulator
• From transistor to trapped-ion computers for quantum chemistry
• Parallel Entangling Operations on a Universal Ion Trap Quantum Computer
• Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries
• Quantum simulation of a lattice Schwinger model in a chain of trapped ions
• Scalable global entangling gates on arbitrary ion qubits
• Quantum Simulation of Spin Models on an Arbitrary Lattice with Trapped Ions
• Simulating open quantum systems: from many-body interactions to stabilizer pumping
• Basic circuit compilation techniques for an ion-trap quantum machine
• Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
• Digital-Analog Quantum Computation
• Robust entanglement gates for trapped-ion qubits
• Compiling quantum algorithms for architectures with multi-qubit gates
• Active Stabilization of Ion Trap Radiofrequency Potentials
• Digital-Analog Quantum Simulation of Spin Models in Trapped Ions
• Long-range Heisenberg models in quasi-periodically driven crystals of trapped ions
• $N$-body interactions between trapped ion qubits via spin-dependent squeezing
• Demonstration of three- and four-body interactions between trapped-ion spins
• Theory of robust multi-qubit non-adiabatic gates for trapped-ions
• Use of global interactions in efficient quantum circuit constructions
• Digital-analog quantum algorithm for the quantum Fourier transform
• Programmable quantum simulation by dynamic Hamiltonian engineering
• Reduction of laser intensity noise over 1 MHz band for single atom trapping
• Synthesis of and compilation with time-optimal multi-qubit gates
• Constant-cost implementations of Clifford operations and multiply controlled gates using global interactions
• Comparing Two-Qubit and Multi-Qubit Gates within the Toric Code
• Sample-efficient verification of continuously-parameterized quantum gates for small quantum processors
• Signal processing techniques for efficient compilation of controlled rotations in trapped ions
• Realization of programmable Ising models in a trapped-ion quantum simulator
• Multi-nucleon structure and dynamics via quantum computing
• Programmable quantum simulations on a trapped-ions quantum simulator with a global drive
• Interaction graph engineering in trapped-ion quantum simulators with global drives