Crosstalk analysis for simultaneously driven two-qubit gates in spin qubit arrays

Abstract

One of the challenges when scaling up semiconductor-based quantum processors consists in the presence of crosstalk errors caused by control operations on neighboring qubits. In previous work, crosstalk in spin qubit arrays has been investigated for non-driven single qubits near individually driven quantum gates and for two simultaneously driven single-qubit gates. Nevertheless, simultaneous gates are not restricted to single-qubit operations but also include frequently used two-qubit gates such as the CNOT gate. We analyse the impact of crosstalk drives on qubit operations, such as the CNOT and CPHASE gates. We investigate the case of parallel $Y$ and CNOT gates, and we also consider a two-dimensional arrangement of two parallel CNOT gates and find unavoidable crosstalk. To minimize crosstalk errors, we develop appropriate control protocols.

8 pages, 3 figures

References in corpus (8)

• Driven coherent oscillations of a single electron spin in a quantum dot
• The Magnus expansion and some of its applications
• Coherent control of a single electron spin with electric fields
• Computing with spin qubits at the surface code error threshold
• Prospects for Spin-Based Quantum Computing
• Fidelity of quantum operations
• Robust micro-magnet design for fast electrical manipulations of single spins in quantum dots
• Crosstalk error correction through dynamical decoupling of single-qubit gates in capacitively coupled singlet-triplet semiconductor spin qubits

Cited by in corpus (6)

• Quantum Crosstalk Robust Quantum Control
• Extended Hubbard model describing small multi-dot arrays in bilayer graphene
• Analysis and mitigation of residual exchange coupling in linear spin qubit arrays
• High-fidelity CNOT gate for spin qubits with asymmetric driving using virtual gates
• Suppressing spurious transitions using spectrally balanced pulse
• Scalable Parity Architecture With a Shuttling-Based Spin Qubit Processor