The asymmetric resonant exchange qubit under the influence of electrical noise

Abstract

We investigate the influence of electrical charge noise on a resonant exchange (RX) qubit in a triple quantum dot. This RX qubit is a variation of the exchange-only spin qubit which responds to a narrow-band resonant frequency. Our noise model includes uncorrelated charge noise in each quantum dot giving rise to two independent (noisy) bias parameters $\epsilon$ and $\Delta$. We calculate the energy splitting of the two qubit states as a function of these two bias detuning parameters to find "sweet spots", where the qubit is least susceptible to noise. Our investigation shows that such sweet spots exist within the low bias regime, in which the bias detuning parameters have the same magnitude as the hopping parameters. The location of the sweet spots in the $(\epsilon ,\Delta )$ plane depends on the hopping strength and asymmetry between the quantum dots. In the regime of weak charge noise, we identify a new favorable operating regime for the RX qubit based on these sweet spots.

11 pages (including two appendices), 6 figures

References in corpus (8)

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Cited by in corpus (16)

• Semiconductor Spin Qubits
• Operating semiconductor quantum processors with hopping spins
• Coupling of three-spin qubits to their electric environment
• Negative spin exchange in a multielectron quantum dot
• Cavity-mediated entanglement of parametrically driven spin qubits via sidebands
• Low-Error Operation of Spin Qubits with Superexchange Coupling
• Fingerprints of Qubit Noise in Transient Cavity Transmission
• Hyperfine-induced dephasing in three-electron spin qubits
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• Modelling of planar germanium hole qubits in electric and magnetic fields
• Dynamical second-order noise sweetspots in resonantly driven spin qubits
• Two-qubit sweet spots for capacitively coupled exchange-only spin qubits
• Universal control of superexchange in linear triple quantum dots with an empty mediator
• Resonator-mediated quantum gate between distant charge qubits
• Theory of qubit noise characterization using the long-time cavity transmission
• Control of threshold voltages in Si/SiGe quantum devices via optical illumination