Sensitivity of quantum gate fidelity to laser phase and intensity noise

Abstract

The fidelity of gate operations on neutral atom qubits is often limited by fluctuations of the laser drive. Here, we quantify the sensitivity of quantum gate fidelities to laser phase and intensity noise. We first develop models to identify features observed in laser self-heterodyne noise spectra, focusing on the effects of white noise and servo bumps. In the weak-noise regime, characteristic of well-stabilized lasers, we show that an analytical theory based on a perturbative solution of a master equation agrees very well with numerical simulations that incorporate phase noise. We compute quantum gate fidelities for one- and two-photon Rabi oscillations and show that they can be enhanced by an appropriate choice of Rabi frequency relative to spectral noise peaks. We also analyze the influence of intensity noise with spectral support smaller than the Rabi frequency. Our results establish requirements on laser noise levels needed to achieve desired gate fidelities.

arXiv commentv3: added analysis of the Lambda configuration

References in corpus (24)

• Quantum information with Rydberg atoms
• A simple formula for the average gate fidelity of a quantum dynamical operation
• Decoherence in a superconducting quantum bit circuit
• 1/f noise: implications for solid-state quantum information
• Demonstration of multi-qubit entanglement and algorithms on a programmable neutral atom quantum computer
• High-Fidelity Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• High-fidelity control and entanglement of Rydberg atom qubits
• Fidelity of quantum operations
• Rydberg mediated entanglement in a two-dimensional neutral atom qubit array
• Analysis of imperfections in the coherent optical excitation of single atoms to Rydberg states
• Rabi flopping between ground and Rydberg states with dipole-dipole atomic interactions
• Fidelity of Single Qubit Maps
• Rotating-frame relaxation as a noise spectrum analyzer of a superconducting qubit undergoing driven evolution
• Experimental noise filtering by quantum control
• Arbitrary quantum control of qubits in the presence of universal noise
• Flux qubit noise spectroscopy using Rabi oscillations under strong driving conditions
• High-order noise filtering in nontrivial quantum logic gates
• Universal gate-set for trapped-ion qubits using a narrow linewidth diode laser
• Independent individual addressing of multiple neutral atom qubits with a MEMS beam steering system
• Comparison of Gaussian and super Gaussian laser beams for addressing atomic qubits
• Decoherence of a Driven Qubit
• General Formalism for Evaluating the Impact of Phase Noise on Bloch Vector Rotations
• Dephasing of qubits by transverse low-frequency noise
• Estimation of the Laser Frequency Nosie Spectrum by Continuous Dynamical Decoupling

Cited by in corpus (20)

• Benchmarking and fidelity response theory of high-fidelity Rydberg entangling gates
• Chip-Scale, Sub-Hz Fundamental Sub-kHz Integral Linewidth 780 nm Laser through Self-Injection-Locking a Fabry-Pérot laser to an Ultra-High Q Integrated Resonator
• Pound-Drever-Hall Feedforward: Laser Phase Noise Suppression beyond Feedback
• High-fidelity interconversion between Greenberger-Horne-Zeilinger and $W$ states through Floquet-Lindblad engineering in Rydberg atom arrays
• Scalable Networking of Neutral-Atom Qubits: Nanofiber-Based Approach for Multiprocessor Fault-Tolerant Quantum Computer
• Energy-Consumption Advantage of Quantum Computation
• The Impact of Imperfect Timekeeping on Quantum Control
• Enhanced quantum state transfer via feedforward cancellation of optical phase noise
• Mitigating controller noise in quantum gates using optimal control theory
• High-fidelity and robust controlled-Z gates implemented with Rydberg atoms via echoing rapid adiabatic passage
• Fidelity-dissipation relations in quantum gates
• A High-Power Clock Laser Spectrally Tailored for High-Fidelity Quantum State Engineering
• Qubit fidelity under stochastic Schrödinger equations driven by colored noise
• Measurement and feed-forward correction of the fast phase noise of lasers
• Ultra-low Frequency Noise External Cavity Diode Laser Systems for Quantum Applications
• A protocol to characterize errors in quantum simulation of many-body physics
• Ultratight confinement of atoms in a Rydberg empowered optical lattice
• Fast measurement-based generation of large-scale Greenberger-Horne-Zeilinger state with atomic nuclear-spin qubits
• Feedforward Cancellation of High-Frequency Phase Noise in Frequency-Doubled Lasers
• A Second-Order Optical Butterworth Fabry-Pérot Filter