Entanglement generation via a completely mixed nuclear spin bath

Abstract

We show that qubits coupled sequentially to a mesoscopic static completely mixed spin bath via the Heisenberg interaction can become highly entangled. Straightforward protocols for the generation of multipartite entangled (Greenberger-Horne-Zeilinger-)states are presented. We show the feasibility of an experimental realization in a quantum dot by the hyperfine interaction of an electron with the nuclear spins.

4+pages, 3 figures

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Cited by in corpus (12)

• High-Fidelity Hot Gates for Generic Spin-Resonator Systems
• Nuclear Spin Dynamics in Double Quantum Dots: Multi-Stability, Dynamical Polarization, Criticality and Entanglement
• Sensitivity of the decay of entanglement of quantum dot spin qubits to the magnetic field
• Hyperfine induced spin and entanglement dynamics in Double Quantum Dots: A homogeneous coupling approach
• Theory of box-model hyperfine couplings and transport signatures of long-range nuclear-spin coherence in a quantum-dot spin valve
• Greenberger-Horne-Zeilinger state protocols for fully connected qubit networks
• Exact dynamics of the homogeneous two-qubit $XXZ$ central spin model with the spin bath prepared in superpositions of symmetric Dicke states
• Hyperfine induced electron spin and entanglement dynamics in double quantum dots: The case of separate baths
• Loschmidt echo driven by hyperfine and electric-quadrupole interactions in nanoscale nuclear spin baths
• Sequential quantum cloning under real-life conditions
• Swapping and entangling hyperfine coupled nuclear spin baths
• Short-time-interaction quantum measurement through an incoherent mediator