Correction Formulas for the Mølmer-Sørensen Gate Under Strong Driving
arXiv:2404.17478 · doi:10.1103/PRXQuantum.6.010328
Abstract
The Mølmer-Sørensen gate is a widely used entangling gate for ion platforms with inherent robustness to trap heating. The gate performance is limited by coherent errors, arising from the Lamb-Dicke (LD) approximation and sideband errors. Here, we provide explicit analytical formulas for errors up to fourth order in the LD parameter, by using the Magnus expansion to match numerical precision, and overcome significant, orders-of-magnitude underestimation of errors by previous theory methods. We show that fourth order Magnus expansion terms are unavoidable, being in fact leading order in LD, and are therefore critical to include for typical experimental fidelity ranges. We show how these errors can be dramatically reduced compared to previous theory by using analytical renormalization of the drive strength, by calibration of the Lamb-Dicke parameter, and by the use of smooth pulse shaping.
arXiv comment12 pages, 4 figures
References in corpus (41)
- Array Programming with NumPy
- Quantum computing with trapped ions
- The Magnus expansion and some of its applications
- Quantum computation with ions in thermal motion
- Entanglement and quantum computation with ions in thermal motion
- High-fidelity quantum logic gates using trapped-ion hyperfine qubits
- High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
- High-Fidelity Universal Gate Set for Be Ion Qubits
- Towards fault-tolerant quantum computing with trapped ions
- A Race Track Trapped-Ion Quantum Processor
- A quantum information processor with trapped ions
- Integrated optical multi-ion quantum logic
- Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
- High-Fidelity Readout in Circuit Quantum Electrodynamics Using the Jaynes-Cummings Nonlinearity
- Fast quantum logic gates with trapped-ion qubits
- High-Fidelity Bell-State Preparation with Ca Optical Qubits
- Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
- High-fidelity trapped-ion quantum logic using near-field microwaves
- Experimental demonstration of a resonator-induced phase gate in a multi-qubit circuit QED system
- Improved Superconducting Qubit Readout by Qubit-Induced Nonlinearities
- Diabatic gates for frequency-tunable superconducting qubits
- High-fidelity controlled-Z gate with maximal intermediate leakage operating at the speed limit in a superconducting quantum processor
- Robust Trapped-Ion Quantum Logic Gates by Continuous Dynamical Decoupling
- Robust and resource-efficient microwave near-field entangling Be gate
- Demonstration of two-atom entanglement with ultrafast optical pulses
- Scalable creation of long-lived multipartite entanglement
- Counteracting systems of diabaticities using DRAG controls: The status after 10 years
- -body interactions between trapped ion qubits via spin-dependent squeezing
- Pulsed force sequences for fast phase-insensitive quantum gates in trapped ions
- Batch Optimization of Frequency-Modulated Pulses for Robust Two-qubit Gates in Ion Chains
- Multi-Qubit Gate with Trapped Ions for Microwave and Laser-Based Implementation
- Pulsed Dynamical Decoupling for Fast and Robust Two-Qubit Gates on Trapped Ions
- Arbitrary Nuclear Spin Gates in Diamond Mediated by a NV-center Electron Spin
- Cross cross resonance gate
- Breaking the entangling gate speed limit for trapped-ion qubits using a phase-stable standing wave
- Experimental error suppression in Cross-Resonance gates via multi-derivative pulse shaping
- Robust and fast microwave-driven quantum logic for trapped-ion qubits
- Mediated gates between spin qubits
- Angle-robust Two-Qubit Gates in a Linear Ion Crystal
- Trapped-Ion Entangling Gates Robust Against Qubit Frequency Errors
- Quantum process tomography of a Mølmer-Sørensen gate via a global beam