Versatile laser-free trapped-ion entangling gates

Abstract

We present a general theory for laser-free entangling gates with trapped-ion hyperfine qubits, using either static or oscillating magnetic-field gradients combined with a pair of uniform microwave fields symmetrically detuned about the qubit frequency. By transforming into a `bichromatic' interaction picture, we show that either ${\hat{\sigma }}_{\varphi }\otimes {\hat{\sigma }}_{\varphi }$ or ${\hat{\sigma }}_z\otimes {\hat{\sigma }}_z$ geometric phase gates can be performed. The gate basis is determined by selecting the microwave detuning. The driving parameters can be tuned to provide intrinsic dynamical decoupling from qubit frequency fluctuations. The ${\hat{\sigma }}_z\otimes {\hat{\sigma }}_z$ gates can be implemented in a novel manner which eases experimental constraints. We present numerical simulations of gate fidelities assuming realistic parameters.

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Cited by in corpus (29)

• High-fidelity laser-free universal control of two trapped ion qubits
• Microwaves in Quantum Computing
• Robust and resource-efficient microwave near-field entangling ${}^9$Be${}^{+}$ gate
• Trapped-ion spin-motion coupling with microwaves and a near-motional oscillating magnetic field gradient
• Theory of robust multi-qubit non-adiabatic gates for trapped-ions
• One- and two-qubit gate infidelities due to motional errors in trapped ions and electrons
• Scalable, high-fidelity all-electronic control of trapped-ion qubits
• Universal hybrid quantum computing in trapped ions
• Laser-free trapped-ion entangling gates with simultaneous insensitivity to qubit and motional decoherence
• Feasibility study of quantum computing using trapped electrons
• Breaking the entangling gate speed limit for trapped-ion qubits using a phase-stable standing wave
• Quantum control methods for robust entanglement of trapped ions
• Robust two-qubit trapped ions gates using spin-dependent squeezing
• Continuous protection of a collective state from inhomogeneous dephasing
• Synthesizing a ${\hat{\sigma }}_z$ spin-dependent force for optical, metastable, and ground state trapped-ion qubits
• Robust and fast microwave-driven quantum logic for trapped-ion qubits
• Æ codes
• Robust Two-Qubit Gates Using Pulsed Dynamical Decoupling
• Numerical optimization of amplitude-modulated pulses in microwave-driven entanglement generation
• Hybrid Microwave Radiation Patterns for High-Fidelity Quantum Gates with Trapped Ions
• Dipole-phonon quantum logic with alkaline-earth monoxide and monosulfide cations
• Trapped-Ion Entangling Gates Robust Against Qubit Frequency Errors
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