Mechanically induced spin resonance in a carbon nanotube

Abstract

The electron spin is a promising qubit candidate for quantum computation and quantum information. Here we propose and analyze a mechanically-induced single electron spin resonance, which amounts to a rotation of the spin about the $x$-axis in a suspended carbon nanotube. The effect is based on the coupling between the spin and the mechanical degree of freedom due to the intrinsic curvature-induced spin-orbit coupling. A rotation about the $z$-axis is obtained by the off-resonant external electric driving field. Arbitrary-angle rotations of the single electron spin about any axis in the $x$-$z$ plane can be obtained with a single operation by varying the frequency and the strength of the external electric driving field. With multiple steps combining the rotations about the $x$- and $z$-axes, arbitrary-angle rotations about arbitrary axes can be constructed, which implies that any single-qubit gate of the electron spin qubit can be performed. We simulate the system numerically using a master equation with realistic parameters.

7 pages, 4 figures

References in corpus (17)

• A tunable carbon nanotube electromechanical oscillator
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
• Strong coupling between single-electron tunneling and nano-mechanical motion
• Carbon nanotubes as ultra-high quality factor mechanical resonators
• Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
• Quantum Information Processing with Nanomechanical Qubits
• Spin-orbit interaction and anomalous spin relaxation in carbon nanotube quantum dots
• Large spin-orbit coupling in carbon nanotubes
• Valley-spin blockade and spin resonance in carbon nanotubes
• Bends In Nanotubes Allow Electric Spin Control and Coupling
• Strong and tunable mode coupling in carbon nanotube resonators
• Probing the charge of a quantum dot with a nanomechanical resonator
• High-frequency nanotube mechanical resonators
• Dynamics and Dissipation induced by Single-Electron Tunneling in Carbon Nanotube Nanoelectromechanical Systems
• Measuring mechanical motion with a single spin

Cited by in corpus (9)

• Nanometre-scale probing of spin waves using single electron spins
• Strongly-coupled nanotube electromechanical resonators
• Spintronics with graphene quantum dots
• Mechanically induced two-qubit gates and maximally entangled states for single electron spins in a carbon nanotube
• Shape-sensitive Pauli blockade in a bent carbon nanotube
• Lasing in circuit quantum electrodynamics with strong noise
• Creating arbitrary quantum vibrational states in a carbon nanotube
• Electronic structure of (1e,1h) states of carbon nanotube quantum dots
• Electrically tunable quantum interfaces between photons and spin qubits in carbon nanotube quantum dots