Directly accessible entangling gates for capacitively coupled singlet-triplet qubits

Abstract

The recent experimental advances in capacitively coupled singlet-triplet qubits, particularly the demonstration of entanglement, opens the question of what type of entangling gates the system's Hamiltonian can produce directly via a single square pulse. We address this question by considering the system's Hamiltonian from first principles and using the representation of its nonlocal properties in terms of local invariants. In the analysis we include the three different ways in which the system can be biased and their effect on the generation of entangling gates. We find that, in one of the possible biasing modes, the Hamiltonian has an especially simple form, which can directly generate a wide range of different entangling gates including the iSWAP gate. Moreover, using the complete form of the Hamiltonian we find that, for any biasing mode, a CNOT gate can be generated directly.

arXiv comment10 pages, 5 figures

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Cited by in corpus (20)

• Three-electron spin qubits
• Geometrical Formalism for Dynamically Corrected Gates in Multiqubit Systems
• Improving the gate fidelity of capacitively coupled spin qubits
• Capacitively coupled singlet-triplet qubits in the double charge resonant regime
• Programmable two-qubit gates in capacitively coupled flopping-mode spin qubits
• Exact CNOT Gates with a Single Nonlocal Rotation for Quantum-Dot Qubits
• Protecting Quantum Information in Quantum Dot Spin Chains by Driving Exchange Interactions Periodically
• Suppression of charge noise using barrier control of a singlet-triplet qubit
• Dynamics of two coupled semiconductor spin qubits in a noisy environment
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• 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
• Robust entangling gate for capacitively coupled few-electron singlet-triplet qubits
• Theory on electron-phonon spin dehphasing in GaAs multi-electron double quantum dots
• Two-qubit sweet spots for capacitively coupled exchange-only spin qubits
• Rapid adiabatic gating for capacitively coupled quantum dot hybrid qubits without barrier control
• On the validity of microscopic calculations of double-quantum-dot spin qubits based on Fock-Darwin states