Crosstalk error correction through dynamical decoupling of single-qubit gates in capacitively coupled singlet-triplet semiconductor spin qubits

Abstract

In addition to magnetic field and electric charge noise adversely affecting spin qubit operations, performing single-qubit gates on one of multiple coupled singlet-triplet qubits presents a new challenge---crosstalk, which is inevitable (and must be minimized) in any multiqubit quantum computing architecture. We develop a set of dynamically-corrected pulse sequences that are designed to cancel the effects of both types of noise (i.e., field and charge) as well as crosstalk to leading order, and provide parameters for these corrected sequences for all 24 of the single-qubit Clifford gates. We then provide an estimate of the error as a function of the noise and capacitive coupling to compare the fidelity of our corrected gates to their uncorrected versions. Dynamical error correction protocols presented in the current work are important for the next generation of singlet-triplet qubit devices where coupling among many qubits will become relevant.

17 pages, 4 figures; added discussion and justification of the form of the capacitive coupling term used in the work. Published in Phys. Rev. B; this is the published version

References in corpus (16)

• Surface codes: Towards practical large-scale quantum computation
• An addressable quantum dot qubit with fault-tolerant control fidelity
• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
• Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
• Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
• Suppressing qubit dephasing using real-time Hamiltonian estimation
• Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem
• Noise-resistant control for a spin qubit array
• Conditional operation of a spin qubit
• Concatenated dynamical decoupling in a solid-state spin bath
• Negative spin exchange in a multielectron quantum dot
• Fast pulse sequences for dynamically corrected gates in single-triplet qubits
• Decoherence of two coupled singlet-triplet spin qubits
• Quantum logic gates from time-dependent global magnetic field in a system with constant exchange
• Proposal of a full Bell state analyzer for spin qubits in a double quantum dot