Implications of Simultaneous Requirements for Low Noise Exchange Gates in Double Quantum Dots

Abstract

Achieving low-error, exchange-interaction operations in quantum dots for quantum computing imposes simultaneous requirements on the exchange energy's dependence on applied voltages. A double quantum dot (DQD) qubit, approximated with a quadratic potential, is solved using a full configuration interaction method. This method is more accurate than Heitler-London and Hund-Mulliken approaches and captures new and significant qualitative behavior. We show that multiple regimes can be found in which the exchange energy's dependence on the bias voltage between the dots is compatible with current quantum error correction codes and state-of-the-art electronics. Identifying such regimes may prove valuable for the construction and operation of quantum gates that are robust to charge fluctuations, particularly in the case of dynamically corrected gates.

8 pages, 6 figures

References in corpus (5)

• Full configuration interaction approach to the few-electron problem in artificial atoms
• Arbitrarily Accurate Dynamical Control in Open Quantum Systems
• Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
• Few-electron artificial molecules formed by laterally coupled quantum rings
• Failure of standard approximations of the exchange coupling in nanostructures

Cited by in corpus (38)

• Exploring the trade-off between fidelity- and time-optimal control of quantum unitary transformations
• Hubbard model description of silicon spin qubits: charge stability diagram and tunnel coupling in Si double quantum dots
• Screening of charged impurities with multi-electron singlet-triplet spin qubits in quantum dots
• Strong electron-electron interactions in Si/SiGe quantum dots
• Robust two-qubit gates for donors in silicon controlled by hyperfine interactions
• Quantum theory of the charge stability diagram of semiconductor double quantum dot systems
• Optimized pulses for the control of uncertain qubits
• Six-electron semiconductor double quantum dot qubits
• A many-electron tight binding method for the analysis of quantum dot systems
• Configuration interaction calculations of the controlled phase gate in double quantum dot qubits
• Resonant Exchange Operation in Triple-Quantum-Dot Qubits for Spin-Photon Transduction
• Spin decoherence in a two-qubit CPHASE gate: the critical role of tunneling noise
• Coherent electrical rotations of valley states in Si quantum dots using the phase of the valley-orbit coupling
• Validity of the single-particle description and charge noise resilience for multielectron quantum dots
• SiGe/Si quantum dot electron spin decoherence dependence on ${}^{73}$Ge
• Charge-noise tolerant exchange gates of singlet-triplet qubits in asymmetric double quantum dots
• Leakage and sweet spots in triple-quantum-dot spin qubits: A molecular-orbital study
• High-precision real-space simulation of electrostatically-confined few-electron states
• Interplay of exchange and superexchange in triple quantum dots
• Noise-Protected Gate for Six-Electron Double-Dot Qubits
• Voltage controlled exchange energies of a two electron silicon double quantum dot with and without charge defects in the dielectric
• Coulomb interaction-driven entanglement of electrons on helium
• Low-noise conditional operation of singlet-triplet coupled quantum dot qubits
• Implications of Electronics Constraints for Solid-State Quantum Error Correction and Quantum Circuit Failure Probability
• Extended orbital modeling of spin qubits in double quantum dots
• Maximal tripartite entanglement between singlet-triplet qubits in quantum dots
• Charge noise suppression in capacitively coupled singlet-triplet spin qubits under magnetic field
• Capacitative coupling of singlet-triplet qubits in different inter-qubit geometries
• Simulation of Coupling Strength of Capacitively Coupled Singlet-Triplet Qubits
• A robust operating point for capacitively coupled singlet-triplet qubits
• Energy spectrum, exchange interaction and gate crosstalk in a pair of double-quantum-dot system: a molecular orbital calculation
• Universal control of superexchange in linear triple quantum dots with an empty mediator
• Non-adiabatic charge state transitions in singlet-triplet qubits
• Computational Assessment of Silicon Quantum Gate Based on Detuning Mechanism for Quantum Computing
• Ab initio modelling of quantum dot qubits: Coupling, gate dynamics and robustness versus charge noise
• Dressed basis sets for the modeling of exchange interactions in double quantum dots
• On the validity of microscopic calculations of double-quantum-dot spin qubits based on Fock-Darwin states
• Evaluation of Gaussian integrals for the modeling of two-dimensional quantum systems