Coupled quantum dots as quantum gates

Abstract

We consider a new quantum gate mechanism based on electron spins in coupled semiconductor quantum dots. Such gates provide a general source of spin entanglement and can be used for quantum computers. We determine the exchange coupling J in the effective Heisenberg model as a function of magnetic (B) and electric fields, and of the inter-dot distance (a) within the Heitler-London approximation of molecular physics. This result is refined by using sp-hybridization, and by the Hund-Mulliken molecular-orbit approach which leads to an extended Hubbard description for the two-dot system that shows a remarkable dependence on B and a due to the long-range Coulomb interaction. We find that the exchange J changes sign at a finite field (leading to a pronounced jump in the magnetization) and then decays exponentially. The magnetization and the spin susceptibilities of the coupled dots are calculated. We show that the dephasing due to nuclear spins in GaAs can be strongly suppressed by dynamical nuclear spin polarization and/or by magnetic fields.

10 pages, 4 figures. v2: minor corrections, appendix added. to be published in Phys.Rev.B

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• Controlled exchange interaction for quantum logic operations with spin qubits in coupled quantum dots
• Dynamic generation of GHZ states with coupled charge qubits
• On the importance of antimony for temporal evolution of emission from self-assembled (InGa)(AsSb)/GaAs quantum dots on GaP(001)
• Simple operation sequences to couple and interchange quantum information between spin qubits of different kinds
• Coherent control of the dynamics of single quantum-dot exciton qubit in a cavity
• Optical Detection and Storage of Entanglement in Plasmonically Coupled Quantum Dot Qubits
• Simplified Approach to Implementing Controlled-Unitary Operations in a Two-Qubit System
• Emission spectrum of quasi-resonant laterally coupled quantum dots
• Influence of confining potentials on the exchange coupling in double quantum dots
• Effects of charge noise on a pulse-gated singlet-triplet $S-T_{-}$ qubit
• A Mesoscopic Resonating Valence Bond system on a triple dot
• Optimal control of hybrid qubits: implementing the quantum permutation algorithm
• Limits to Quantum Gate Fidelity from Near-Field Thermal and Vacuum Fluctuations
• Spin noise spectroscopy of quantum dot molecules
• Electrical Detection of Spin Excitations
• Theory of single and double electron spin-flip Raman scattering in semiconductor nanoplatelets
• Extended Hubbard model describing small multi-dot arrays in bilayer graphene
• Tuning spatial entanglement in interacting few-electron quantum dots
• Interference, spectral momentum correlations, entanglement, and Bell inequality for a trapped interacting ultracold atomic dimer: Analogies with biphoton interferometry
• Extended orbital modeling of spin qubits in double quantum dots
• Exploring exchange mechanisms with a cold atom gas
• Spin freezing by Anderson localization in one-dimensional semiconductors
• Singlet-triplet avoided crossings and effective $g$ factor versus spatial orientation of spin-orbit-coupled quantum dots
• An effective spin-1 Heisenberg chain in coupled cavities
• Suppression of electron spin decoherence in a quantum dot
• Defining and controlling double quantum dots in single-walled carbon nanotubes
• Bell-state preparation for electron spins in a semiconductor double quantum dot
• Novel coherent quantum bit using spatial quantization levels in semiconductor quantum dot
• Low-energy subband wave-functions and effective $g$-factor of one-dimensional hole gas
• Electron-hole bilayer quantum dots: Phase diagram and exciton localization
• The Entanglement in Anisotropic Heisenberg XYZ Chain with inhomogeneous magnetic field
• Tuning the exchange interaction by electric field in laterally coupled quantum dots
• Decoupling and antiresonance in electronic transport through a quantum dot chain embodied in an Aharonov-Bohm interferometer
• 3D two-electron double quantum dot: comparison between the behavior of some physical quantities under two different confinement potentials in the presence of a magnetic field
• A spin dephasing mechanism mediated by the interplay between the spin-orbit coupling and the asymmetrical confining potential in semiconductor quantum dot
• Spin swap vs. double occupancy in quantum gates
• Spin relaxation in a GaAs quantum dot embedded inside a suspended phonon cavity
• Theory of a two-level artificial molecule in laterally coupled quantum Hall droplets
• Spin and valley manipulation in single and double electrostatic silicene quantum dots
• Electrical measurement of a two-electron spin state in a double quantum dot
• Swapping entangled Kondo resonances in parallel-coupled double quantum dots
• Line Shapes of Electric Dipole Spin Resonance in Pauli Spin Blockade
• Two-qubit gates for decoherence-free qubits using a ring exchange interaction
• Quantum information processing in a spin-bus system of coupled chains
• Time dependent configuration interaction simulations of spin swap in spin orbit coupled double quantum dots
• Size effects in the exchange coupling between two electrons in quantum wire quantum dots
• Double quantum dots defined in bilayer graphene
• Quantum dots based on parabolic quantum wells: importance of electronic correlations
• Path integral study of the role of correlation in exchange coupling of spins in double quantum dots and optical lattices
• Flying Spin Qubits in Quantum Dot Arrays Driven by Spin-Orbit Interaction
• Charge noise induced spin dephasing in a nanowire double quantum dot with spin-orbit coupling
• Rabi oscillations, coherent properties and model qubits in two-level donor systems under terahertz radiation
• Tuning antiferromagnetism of vacancies with magnetic fields in graphene nanoflakes
• Energy transfer among distant quantum systems in spatially shaped laser fields: Two H atoms with the internuclear separation of 5.29 nm (100 a.u.)
• Spin-orbit enabled quantum transport channels in a two-hole double quantum dot
• Engineering Topological quantum dot through planar magnetization in bismuthene
• Adiabatic evolution of a coupled-qubit Hamiltonian
• Magnetic field-assisted manipulation and entanglement of Si spin qubits
• Symmetry-controlled singlet-triplet transition in a double-barrier quantum ring
• Preparation of quantum states of two spin-$\frac{1}{2}$ particles in the form of the Schmidt decomposition
• Proposal of a full Bell state analyzer for spin qubits in a double quantum dot
• Low-Dissipation Data Bus via Coherent Quantum Dynamics
• Coupling of bonding and antibonding electron orbitals in double quantum dots by spin-orbit interaction
• Quantum loss of synchronization in the dynamics of two spins
• Decoherence and Dephasing in Kondo Tunneling through Double Quantum Dots
• High-fidelity CNOT gate for spin qubits with asymmetric driving using virtual gates
• Excitonic fine structure of epitaxial Cd(Se,Te) on ZnTe type-II quantum dots
• Tailoring Effective Exchange Interactions via Domain Walls in Coupled Heisenberg Rings
• Determining the electronic triplet-singlet transition probability in double quantum dots: Analogy with the double slit experiment
• Manipulation of two spin qubits in a double quantum dot using an electric field
• Quantum mechanics and speed limit of ultrafast local control in spin chains
• Entanglement generation resonances in XY chains
• Effect of a laser field in the confinement potential of two electrons in a double quantum dot
• Approximate exchange-only entangling gates for the three-spin-$1/2$ decoherence-free subsystem
• Tunable charge qubit based on barrier-controlled triple quantum dots
• Phonon-induced decoherence of a charge quadrupole qubit
• Ramsey fringes in a room temperature quantum dot semiconductor optical amplifier
• Dynamics of a driven spin coupled to an antiferromagnetic spin bath
• Theory of spin qubits in nanostructures
• Four-level systems and a universal quantum gate
• Para-ortho transition of artificial H${}_2$ molecule in lateral quantum dots doped with magnetic impurities
• Magic angle for barrier-controlled double quantum dots
• A solvable quantum model of dynamic nuclear polarization in quantum dots
• Approximate ground state of a confined Coulomb anyon gas in an external magnetic field
• Decoherence of Rabi oscillations of electronic spin states in a double quantum dot
• Optimisation of electrically-driven multi-donor quantum dot qubits
• Simulation of Coupling Strength of Capacitively Coupled Singlet-Triplet Qubits
• Strongly Correlated Two-Electron Transport in a Quantum Waveguide Having a Single Anderson Impurity
• Electronic Structure of Multiple Dots
• Energy spectra of three electrons in SiGe/Si/SiGe laterally coupled triple quantum dots
• Approximate formula for the ground state energy of anyons in 2D parabolic well
• On the partial trace over collective spin-degrees of freedom
• Quantum dynamics in electron-nuclei coupled spin system in quantum dots: Bunching, revival, and quantum correlation in electron-spin measurements
• Quantum Information Processing and Entanglement in Solid State Devices
• Externally controlled selective spin transfer through a two-terminal bridge setup
• Swap Action in a Solid-State Controllable Anisotropic Heisenberg Model
• Nuclear-induced time evolution of entanglement of two-electron spins in anisotropically coupled quantum dot
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• Detection of a single-charge defect in a metal-oxide-semiconductor structure using vertically coupled Al and Si single-electron transistors
• Spin and tunneling dynamics in an asymmetrical double quantum dot with spin - orbit coupling
• Magnon transport and spin current switching through quantum dots
• Quantitative Treatment of Decoherence
• Quantum-dot spin qubit and hyperfine interaction
• Multipartite entanglement in fermionic systems via a geometric measure
• Optically erasing disorder in semiconductor microcavities with dynamic nuclear polarization
• Electron-Hole Entanglement in a Quantum Spin Hall Insulator
• Wave packet construction in three-dimensional quantum billiards: Visualizing the closed orbit, collapse and revival of wave packets in the cubical billiard
• Bipartite entanglement in the spin-1/2 Ising-Heisenberg planar lattice constituted of identical trigonal bipyramidal plaquettes
• Energy spectrum, exchange interaction and gate crosstalk in a pair of double-quantum-dot system: a molecular orbital calculation
• Engineering Exchange Coupling in Double Elliptic Quantum Dots
• Equilibrium and real-time properties of the spin correlation function in the two-impurity Kondo model
• Design and control of spin gates in two quantum dots arrays
• Robust entangling gate for capacitively coupled few-electron singlet-triplet qubits
• Nonmonotonic buildup of spin-singlet correlations in a double quantum dot
• Theory of charge stability diagrams in coupled quantum dot qubits
• A spinless spin qubit
• Coupling Perovskite Quantum Dot Pairs in Solution using Nanoplasmonic Assembly
• Light emission properties in a double quantum dot molecule immersed in a cavity: phonon-assisted tunneling
• Spectral properties of interacting magnetoelectric particles
• Quantum Simulation of Pairing Hamiltonians with Nearest-Neighbor Interacting Qubits
• Spin-orbit coupling in quasi-one-dimensional Wigner crystals
• Two-qubit logical operations in three quantum dots system
• Inhomogeneous dynamic nuclear polarization and suppression of electron-polarization decay in a quantum dot
• Quantum model of a solid-state spin qubit: Ni cluster on a silicon surface by the generalized spin Hamiltonian and X-ray absorption spectroscopy investigations
• Spin polarized transport driven by square voltage pulses in a quantum dot system
• Quantum computing based on space states without charge transfer
• Spin-orbit induced spin-qubit control in nanowires
• Two-electron n-p double quantum dots in carbon nanotubes
• Energy levels in a single-electron quantum dot with hydrostatic pressure
• Continuous dynamical decoupling and decoherence-free subspaces for qubits with tunable interaction
• Observation of low-lying excitations of electrons in coupled quantum dots
• Time evolution of an entangled initial state in coupled quantum dots with Coulomb correlations
• Voltage-controlled electron-hole interaction in a single quantum dot
• Entangled electronic state via an interacting quantum dot
• Topological Quantum Gates with Quantum Dots
• Optimal generation of single-qubit operation from an always-on interaction by algebraic decoupling
• Theory on electron-phonon spin dehphasing in GaAs multi-electron double quantum dots
• Sign-switching of superexchange mediated by few electrons under non-uniform magnetic field
• Theory on the Ultrafast Manipulation of Electron Spin by Optical Means
• Theory of field-modulated spin-valley-orbital pseudospin physics
• Universal control of superexchange in linear triple quantum dots with an empty mediator
• Fast quantum gate via Feshbach-Pauli blocking in a nanoplasmonic trap
• Fidelity of optically induced single-spin rotations in semiconductor quantum dots in the presence of nuclear spins
• Hyperfine interaction mediated electric-dipole spin resonance: the role of frequency modulation
• Efficiency of Ground State Quantum Computer
• Spin transitions induced by a magnetic field in quantum dot molecules
• Spin manipulation and spin dephasing in quantum dot integrated with a slanting magnetic field
• Emergence of robust gaps in 2D antiferromagnets via additional spin-1/2 probes
• Suppression of Hyperfine Dephasing by Spatial Exchange of Double Quantum Dots
• Minimal evolution times for fast, pulse-based state preparation in silicon spin qubits
• Rapid adiabatic gating for capacitively coupled quantum dot hybrid qubits without barrier control
• Influence of Random Telegraph Noise on Quantum Bit Gate Operation
• Electronic structure of (1e,1h) states of carbon nanotube quantum dots
• Spintronic devices as quantum networks
• Spin-photon interaction in a nanowire quantum dot with asymmetrical confining potential
• Singlet-only Always-on Gapless Exchange Qubits with Baseband Control
• The role of antisymmetric orbitals and electron-electron interactions on the two-particle spin and valley blockade in graphene double quantum dots
• Scattering solution of interacting Hamiltonian for electronic control of molecular spin qubits
• Designed defects in 2D antidot lattices for quantum information processing
• Reductions in finite-dimensional quantum mechanics: from symmetries to operator algebras and beyond
• Circular-polarization sensitive metamaterial based on triple quantum-dot molecules
• Aspects of the decoherence in high spin environments: Breakdown of the mean-field approximation
• Mapping electron delocalization by charge transport spectroscopy in an artificial molecule
• Bound state properties of ABC-stacked trilayer graphene quantum dots
• Quantum nonlocality of Heisenberg XX model with Site-dependent Coupling Strength
• Bell's Theorem and Chemical Potential
• Implementation of a two-qubit state by an auxiliary qubit on the three-spin system
• Band theory in the context of the Hamilton-Jacobi formulation
• Theory for entanglement of electrons dressed with circularly polarized light in Graphene and three-dimensional topological insulators
• Fast optical control of a coded qubit in a triple quantum dot
• Chiral Spin Textures of Strongly Interacting Particles in Quantum Dots
• Entangling spin and charge degrees of freedom in semiconductor quantum dots
• Quantum hierarchic models for information processing
• Spin separation and exchange for quantum dots in the Overhauser field
• Entanglement Purification with the Exchange Interaction
• Impact of the valley orbit coupling on exchange gate for spin qubits in silicon quantum dots
• Fermi liquid theory of resonant spin pumping
• Quantum and classical correlations and Werner states in finite spin linear arrays
• Discrete quantum Fourier transform in coupled semiconductor double quantum dot molecules
• On the validity of microscopic calculations of double-quantum-dot spin qubits based on Fock-Darwin states
• The Spin Density Matrix I: General Theory and Exact Master Equations
• A $\pi$-shaped Quantum Device for Implementation of Bell States in Solid State Environment
• Decay rates and decoherence of an interstitial two-level spin impurity in a ferromagnetic lattice
• Performance engineering of semiconductor spin qubit systems
• Spin Diffusion and Relaxation in Solid State Spin Quantum Computer
• Polaron formation in a spin chain by measurement-induced imaginary Zeeman field
• The two-impurity Kondo model with spin-orbit interactions
• Quantum Phase Transition in Dimerized Spin-1/2 Chains
• Demonstration of deterministic SWAP gate between superconducting and frequency-encoded microwave-photon qubits
• Mutual information-energy inequality for thermal states of a bipartite quantum system
• Dressed basis sets for the modeling of exchange interactions in double quantum dots
• Limitations of the $g$-tensor formalism of semiconductor spin qubits
• Transport and Noise of Entangled Electrons
• Entanglement Distillation using the Exchange Interaction
• Microwave quantum optics as a direct probe of the Overhauser field in a quantum-dot CQED device
• Exact diagonalization study of double quantum dots in parallel geometry in zero-bandwidth limit
• The characteristic polynomial of the next-nearest-neighbour qubit chain for single excitations
• Evaluation of Gaussian integrals for the modeling of two-dimensional quantum systems
• The Finite Difference Time Domain Method for Computing Single-Particle Density Matrix
• Inducement of Spin-pairing and Correlated Semi-metallic State in Mott-Hubbard Quantum Dot Array
• Study of Microwave Assisted CNOT Gate
• Dephasing of coupled spin qubit system during gate operations due to background charge fluctuations
• Digital-Controlled Method of Conveyor-Belt Spin Shuttling in Silicon for Large-Scale Quantum Computation
• Negative exchange interaction in Si quantum dot arrays via valley-phase induced ${\mathbb{Z}}_2$ gauge field
• Spin-Dependent Transport Through a Colloidal Quantum Dot: The Role of Exchange Interactions
• Artificial versus Natural Atoms: The uncanny capability of the many-body Schrödinger equation to produce emergent behavior
• Dynamical system analysis of quantum tunneling in an asymmetric double-well potential
• Decoherence dynamics of entangled quantum states in the $XXX$ central spin model
• Josephson-like magnetic tunnel junction -- transition from classical to quantum regime
• Electron readout contrast enhancement in the parallel nuclear regime of an exchange-coupled donor spin qubit system
• Quantum anomalous Hall effect in chiral semimetals
• Temperature Evolution of Quasi-one-dimensional C60 Nanostructures on Rippled Graphene
• Comparison of methods for computing the exchange energy in laterally coupled quantum dots
• Quantum Information Processing with Continuous Variables and Atomic Ensembles
• Artificial stochastic neural network on the base of double quantum wells
• Quantum Hall droplets in coupled lateral quantum dots
• Quantum Dots: Coulomb Blockade, Mesoscopic Fluctuations, and Qubit Decoherence
• Anomalous zero-field splitting for hole spin qubits in Si and Ge quantum dots
• Effect of spin-orbit interaction on circular current: Pure spin current phenomena within a ring conductor
• Limitations on the maximal level of entanglement of two singlet-triplet qubits in GaAs quantum dots
• Non-Markovian dynamics of a localized electron spin due to the hyperfine interaction
• Efficient Random Phase Approximation for Diradicals
• Exploring Entanglement Spectrum and Phase Diagram in multi-electron Quantum Dot Chains