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Bulletin of the American Physical Society

Two-species Coherent Transport Adiabatic passage and Quantum Gate implementation in an Optical Superlattice

Kunal K. Das, Miroslav Gajdacz, Tomáš Opatrný

Published Jun 14, 2011• 0 citations
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In an optical superlattice of triple wells containing two mutually interacting atom species in adjacent wells, we show that one species can be transported through the positions of the other species while avoiding significant overlap and direct interaction. The transfer protocol is optimized to be robust against missing atoms of either species in any lattice site, as well as against lattice fluctuations. The degree and the duration of the interspecies overlap during passage can be tuned, making possible a controlled large-scale interaction-induced change of internal states.
Qubit transport has been identified as vital in improving quantum error correction thresholds in scalable quantum computer architectures. Introducing practical transport in the solid-state is problematic, but in phosphorus in silicon implementations we have shown an interesting adiabatic protocol for qubit transfer, coherent tunneling adiabatic passage (CTAP). Here we review the role of CTAP as a quantum wire, highlighting the protocol and the temporal scaling as the length of the transport chain is increased. We also highlight an extension of CTAP to generate spatial superposition states which demonstrates some of the flexibility of quantum electronic structures over quantum optical systems.
A solid-state analog of stimulated Raman adiabatic passage can be implemented in a triple-well solid-state system to coherently transport an electron across the wells with exponentially suppressed occupation in the central well at any point of time. Termed coherent-tunneling adiabatic passage (CTAP), this method provides a robust way to transfer quantum information encoded in the electronic spin across a chain of quantum dots or donors. Using large-scale atomistic tight-binding simulations involving over $3.5\ifmmode\times\else\texttimes\fi{}{10}^{6}$ atoms, we verify the existence of a CTAP pathway in a realistic solid-state system: gated triple donors in silicon. Realistic gate profiles from commercial tools were combined with tight-binding methods to simulate gate control of the donor to donor tunnel barriers in the presence of crosstalk. As CTAP is an adiabatic protocol, it can be analyzed by solving the time-independent problem at various stages of the pulse justifying the use of time-independent tight-binding methods to this problem. This work also involves the first atomistic treatment to translate the three-state-based quantum-optics type of modeling into a solid-state description beyond the ideal localization assumption. Our results show that a three-donor CTAP transfer, with interdonor spacing of 15 nm can occur on time scales greater than 23 ps, well within experimentally accessible regimes. The method not only provides a tool to guide future CTAP experiments but also illuminates the possibility of system engineering to enhance control and transfer times.