Dressed Qubits in Nuclear Spin Baths

Abstract

We present a method to encode a \textit{dressed} qubit into the product state of an electron spin localized in quantum dot and its surrounding nuclear spins via a dressing transformation. In this scheme, the hyperfine coupling and a portion of nuclear dipole dipole interaction become logic gates, while they are the sources of decoherence in electron spin qubit proposals. We discuss errors and corrections for the dressed qubits. Interestingly, the effective Hamiltonian of nuclear spins is equivalent to a pairing Hamiltonian, which provides the microscopic mechanism to protect dressed qubits against decoherence.

5 pages, no figures,

References in corpus (6)

• Electron-nuclear interaction in 13C nanotube double quantum dots
• Coherence and control of quantum registers based on electronic spin in a nuclear spin bath
• Qubit protection in nuclear-spin quantum dot memories
• Dynamical nuclear spin polarization and the Zamboni effect in gated double quantum dots
• Bang-Bang control of a qubit coupled to a quantum critical spin bath
• One-spin quantum logic gates from exchange interactions and a global magnetic field

Cited by in corpus (4)

• High-capacity and high-power collective charging with spin chargers
• Repeated measurements and nuclear spin polarization
• Effect of quantum coherence on Landauer's principle
• Entanglement increase from local interaction in the absence of initial quantum correlation in the environment and between the system and the environment