A Wavelength-Insensitive, Multispecies Entangling Gate for Group-2 Atomic Ions

• URL: http://arxiv.org/abs/2010.04526v1
• Date: Fri, 9 Oct 2020 12:27:41 GMT
• Title: A Wavelength-Insensitive, Multispecies Entangling Gate for Group-2 Atomic Ions
• Authors: Brian C. Sawyer and Kenton R. Brown
• Abstract summary: We propose an optical scheme for generating entanglement between co-trapped identical or dissimilar alkaline earth atomic ions. We present a detailed analysis of the principles and fundamental error sources for this gate scheme. We discuss its applications to quantum information processing and simulation with like and multispecies ion crystals.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose an optical scheme for generating entanglement between co-trapped identical or dissimilar alkaline earth atomic ions ($^{40}\text{Ca}^+$, $^{88}\text{Sr}^+$, $^{138}\text{Ba}^+$, $^{226}\text{Ra}^+$) which exhibits fundamental error rates below $10^{-4}$ and can be implemented with a broad range of laser wavelengths spanning from ultraviolet to infrared. We also discuss straightforward extensions of this technique to include the two lightest Group-2 ions ($\text{Be}^+$, $\text{Mg}^+$) for multispecies entanglement. The key elements of this wavelength-insensitive geometric phase gate are the use of a ground ($S_{1/2}$) and a metastable ($D_{5/2}$) electronic state as the qubit levels within a $\sigma^z \sigma^z$ light-shift entangling gate. We present a detailed analysis of the principles and fundamental error sources for this gate scheme which includes photon scattering and spontaneous emission decoherence, calculating two-qubit-gate error rates and durations at fixed laser beam intensity over a large portion of the optical spectrum (300 nm to 2 $\mu \text{m}$) for an assortment of ion pairs. We contrast the advantages and disadvantages of this technique against previous trapped-ion entangling gates and discuss its applications to quantum information processing and simulation with like and multispecies ion crystals.

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