Transporting a single-spin qubit through a double quantum dot

Abstract

Coherent spatial transport or shuttling of a single electron spin through semiconductor nanostructures is an important ingredient in many spintronic and quantum computing applications. In this work we analyze the possible errors in solid-state quantum computation due to leakage in transporting a single-spin qubit through a semiconductor double quantum dot. In particular, we consider three possible sources of leakage errors associated with such transport: finite ramping times, spin-dependent tunneling rates between quantum dots induced by finite spin-orbit couplings, and the presence of multiple valley states. In each case we present quantitative estimates of the leakage errors, and discuss how they can be minimized. Moreover, we show that in order to minimize leakage errors induced by spin-dependent tunnelings, it is necessary to apply pulses to perform certain carefully designed spin rotations. We further develop a formalism that allows one to systematically derive constraints on the pulse shapes and present a few examples to highlight the advantage of such an approach.

19 pages, 13 figures

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• Network architecture for a topological quantum computer in silicon
• Qubit gates with simultaneous transport in double quantum dots
• Simulated coherent electron shuttling in silicon quantum dots
• Interplay of charge noise and coupling to phonons in adiabatic electron transfer between quantum dots
• Strategies for enhancing spin-shuttling fidelities in Si/SiGe quantum wells with random-alloy disorder
• Leakage and sweet spots in triple-quantum-dot spin qubits: A molecular-orbital study
• Coherent long-range transfer of two-electron states in ac-driven triple quantum dots
• Measurement of tunnel coupling in a Si double quantum dot based on charge sensing
• Decoherence of electron spin qubit during transfer between two semiconductor quantum dots at low magnetic fields
• Fidelity of a sequence of SWAP operations on a spin chain
• Resonator-mediated quantum gate between distant charge qubits