Parallel entangling gate operations and two-way quantum communication in spin chains

Rozhin Yousefjani and Abolfazl Bayat

Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610051, China

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The power of a quantum circuit is determined through the number of two-qubit entangling gates that can be performed within the coherence time of the system. In the absence of parallel quantum gate operations, this would make the quantum simulators limited to shallow circuits. Here, we propose a protocol to parallelize the implementation of two-qubit entangling gates between multiple users which are spatially separated, and use a commonly shared spin chain data-bus. Our protocol works through inducing effective interaction between each pair of qubits without disturbing the others, therefore, it increases the rate of gate operations without creating crosstalk. This is achieved by tuning the Hamiltonian parameters appropriately, described in the form of two different strategies. The tuning of the parameters makes different bilocalized eigenstates responsible for the realization of the entangling gates between different pairs of distant qubits. Remarkably, the performance of our protocol is robust against increasing the length of the data-bus and the number of users. Moreover, we show that this protocol can tolerate various types of disorders and is applicable in the context of superconductor-based systems. The proposed protocol can serve for realizing two-way quantum communication.

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[1] Andrew Shaw, "Classical-Quantum Noise Mitigation for NISQ Hardware", arXiv:2105.08701.

[2] Zhi-Cheng Shi, Hai-Ning Wu, Li-Tuo Shen, Jie Song, Yan Xia, X. X. Yi, and Shi-Biao Zheng, "Robust single-qubit gates by composite pulses in three-level systems", Physical Review A 103 5, 052612 (2021).

[3] Tony John George Apollaro and Wayne Jordan Chetcuti, "Two-Excitation Routing via Linear Quantum Channels", Entropy 23 1, 51 (2020).

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