Long-Distance Entanglement of Spin Qubits via Quantum Hall Edge States

Abstract

The implementation of a functional quantum computer involves entangling and coherent manipulation of a large number of qubits. For qubits based on electron spins confined in quantum dots, which are among the most investigated solid-state qubits at present, architectural challenges are often encountered in the design of quantum circuits attempting to assemble the qubits within the very limited space available. Here, we provide a solution to such challenges based on an approach to realizing entanglement of spin qubits over long distances. We show that long-range Ruderman-Kittel-Kasuya-Yosida interaction of confined electron spins can be established by quantum Hall edge states, leading to an exchange coupling of spin qubits. The coupling is anisotropic and can be either Ising-type or XY-type, depending on the spin polarization of the edge state. Such a property, combined with the dependence of the electron spin susceptibility on the chirality of the edge state, can be utilized to gain valuable insights into the topological nature of various quantum Hall states.

16 pages, 2 figures

References in corpus (16)

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• Prospects for Spin-Based Quantum Computing
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
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• Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
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• Spin-dependent current through a quantum dot from spin-polarized non-equilibrium quantum Hall edge channels

Cited by in corpus (25)

• Three-electron spin qubits
• Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
• Spin of a multielectron quantum dot and its interaction with a neighboring electron
• Long-range entanglement for spin qubits via quantum Hall edge modes
• High-fidelity spin qubit shuttling via large spin-orbit interaction
• Transmission lines and resonators based on quantum Hall plasmonics: electromagnetic field, attenuation and coupling to qubits
• Device Architecture for Coupling Spin Qubits Via an Intermediate Quantum State
• Dissipative Long-Range Entanglement Generation between Electronic Spins
• Long-range exchange interaction between spin qubits mediated by a superconducting link at finite magnetic field
• Driven quantum dot coupled to a fractional quantum Hall edge
• RKKY coupling in Weyl semimetal thin films
• Non-local control of spin-spin correlation in finite geometry helical edge
• Gate controlled unitary operation on flying spin qubits in quantum Hall edge states
• RKKY interaction in one-dimensional flat-band lattices
• Selective generation and amplification of RKKY interactions by P-N interface
• Topological Spin Textures Enabling Quantum Transmission
• Entanglement balance of quantum $(e,2e)$ scattering processes
• RKKY interaction at helical edges of topological superconductors
• Mesoscopic Spin Systems as Quantum Entanglers
• Noise suppression and long-range exchange coupling for gallium arsenide spin qubits
• Hidden topology in flat-band topological insulators: Strong, weak and square-root topological states
• Entangling nuclear spins in distant quantum dots via an electron bus
• All-electric single electron spin-to-charge conversion
• Spatiotemporal Spread of Fermi-edge Singularity as Time Delayed Interaction and Impact on Time-dependent RKKY Type Coupling
• Long-distance coupling of spin qubits via topological magnons