Chirality in Quantum Computation with Spin Cluster Qubits

Abstract

We study corrections to the Heisenberg interaction between several lateral, single-electron quantum dots. We show, using exact diagonalization, that three-body chiral terms couple triangular configurations to external sources of flux rather strongly. The chiral corrections impact single qubit encodings utilizing loops of three or more Heisenberg coupled quantum dots.

5 pages, 2 figures

References in corpus (22)

• Quantum Computation with Quantum Dots
• Decoherence Free Subspaces for Quantum Computation
• Coupled quantum dots as quantum gates
• Universal Quantum Computation with the Exchange Interaction
• A Theory of Quantum Error-Correcting Codes
• Electron Spin Resonance Transistors for Quantum Computing in Silicon-Germanium Heterostructures
• Theory of Decoherence-Free Fault-Tolerant Universal Quantum Computation
• Spin-flip transitions between Zeeman sublevels in semiconductor quantum dots
• Universal quantum computation with spin-1/2 pairs and Heisenberg exchange
• Hilbert space structure of a solid state quantum computer: two-electron states of a double quantum dot artificial molecule
• Universal Fault-Tolerant Computation on Decoherence-Free Subspaces
• Quantum computing with spin cluster qubits
• Quantum Computing with an 'Always On' Heisenberg Interaction
• Quantum computing with antiferromagnetic spin clusters
• Dynamical Generation of Noiseless Quantum Subsystems
• Electron spin coherence in semiconductors: Considerations for a spin-based solid state quantum computer architecture
• Charge Transport in Manganites: Hopping Conduction, the Anomalous Hall Effect and Universal Scaling
• Combined encoding and decoupling solution to problems of decoherence and design in solid-state quantum computing
• Large-$U$ limit of a Hubbard model in a magnetic field: chiral spin interactions and paramagnetism
• Spin-based quantum computation in multielectron quantum dots
• Interplay between Zeeman Coupling and Swap Action in Spin-based Quantum Computer Models: Error Correction in Inhomogeneous Magnetic Fields
• Three and Four-Body Interactions in Spin-Based Quantum Computers

Cited by in corpus (22)

• Topological Hunds rules and the electronic properties of a triple lateral quantum dot molecule
• Synthesis of antisymmetric spin exchange interaction and entanglement generation with chiral spin states in a superconducting circuit
• Three-electron spin qubits
• The Exchange Gate in Solid State Spin Quantum Computation: The Applicability of the Heisenberg Model
• Extension of the standard Heisenberg Hamiltonian to multispin exchange interactions
• Theory of spin, electronic and transport properties of the lateral triple quantum dot molecule in a magnetic field
• Quantum theory of the charge stability diagram of semiconductor double quantum dot systems
• Linear and nonlinear Stark effect in triangular molecule
• Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange
• The exchange-only singlet-only spin qubit
• Hyperfine-Induced Decay in Triple Quantum Dots
• Quantum circuits based on coded qubits encoded in chirality of electron spin complexes in triple quantum dots
• Herzberg Circuit and Berry's Phase in Chirality-based Coded Qubit in a Triangular Triple Quantum Dot
• Few-body spin couplings and their implications for universal quantum computation
• Single-step high-fidelity three-qubit gates by anisotropic chiral interactions
• Waveguide Excitation and Spin Pumping of Chirally Coupled Quantum Dots
• Energy spectra of three electrons in SiGe/Si/SiGe laterally coupled triple quantum dots
• Flux-driven quantum spin liquids in kagome optical lattices
• Circular-polarization sensitive metamaterial based on triple quantum-dot molecules
• Frustration-enhanced persistent currents in correlated trimer nanorings
• Truncated Wigner approximation for the bosonic model of large spin baths
• The Role of Alternance Symmetry in Magnetoconductance