Spin rotations induced by electron running on closed trajectories in gated semiconductor nanodevices

Abstract

A design for a quantum gate performing transformations of a single electron spin is presented. The spin rotations are performed by the electron going around the closed loops in a gated semiconductor device. We demonstrate the operation of NOT, phase-flip and Hadamard quantum gates, i.e. the single-qubit gates which are most commonly used in the algorithms. The proposed devices employ the self-focusing effect for the electron wave packet interacting with the electron gas on the electrodes and the Rashba spin-orbit coupling. Due to the self-focusing effect the electron moves in a compact wave packet. The spin-orbit coupling translates the spatial motion of the electron into the rotations of the spin. The device does not require microwave radiation and operates using low constant voltages. It is therefore suitable for selective single-spin rotations in larger registers.

submitted

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• Gate control of Berry phase in III-V semiconductor quantum dots
• Generation of Schrödinger's cat states in a planar semiconductor heterostructure
• Time dependent configuration interaction simulations of spin swap in spin orbit coupled double quantum dots
• Violation of Onsager symmetry for a ballistic channel Coulomb coupled to a quantum ring
• Coupling of bonding and antibonding electron orbitals in double quantum dots by spin-orbit interaction
• Exact analysis of gate noise effects on non-adiabatic transformations of spin-orbit qubits
• Topologically protected wave packets and quantum rings in silicene
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• Electric dipole spin resonance in single and two electron quantum dot defined in two-dimensional electron gas at the SrTiO${}_3$/LaAlO${}_3$ interface
• Gated combo nanodevice for sequential operations on single electron spin
• Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits
• Shaped electric fields for fast optimal manipulation of electron spin and position in a double quantum dot
• Spin inversion in fluorinated graphene n-p junction
• Conductance measurement of spin-orbit coupling in the two-dimensional electron systems with in-plane magnetic field