Oral: Numerical modeling of decoherence of entangled spin qubits during shuttling*

Creation of a coherent link between quantum registers is among most critical problems for many quantum information processing architectures, including the prospective large-scale semiconductor-based quantum computing devices. A promising technique, based on shuttling the spin qubits between different quantum dot registers, has attracted much attention recently, and has already been demonstrated on several systems [1-4]. 

However, realistic modeling of decoherence of several entangled qubits during the shuttling process remains an outstanding problem, since the noise affecting this system explicitly includes both time and space correlations, and generally cannot be reduced to a standard mathematical model of random process. We propose a new approach for describing the shuttled entangled qubits, employing the concept of random Ornstein-Uhlenbeck sheet, a Gaussian stochastic field explicitly denependent on time and space coordinates. We provide several numerical approaches to modeling decoherence under such noise, justify their validity, and assess their performance. We present the results of representative simulations for shuttling of few-qubit entangled states, and discuss extension of these methods to other decoherence sources, such as the noise hot spots and 1/f noise. 

[1] A. Noiri et al., Nature Comm. 13, 5740 (2022)

[2] F. van Riggelen-Doelman et al., arXiv:2308.02406 (2023)

[3] I. Seidler et al., npj Qu. Inf. 8, 100 (2022)

[4] A. M. J. Zwerver et al., PRX Quantum 4, 030303 (2023)