Weaving Complex Graph on simple low-dimensional qubit lattices

• URL: http://arxiv.org/abs/2405.16067v1
• Date: Sat, 25 May 2024 05:37:42 GMT
• Title: Weaving Complex Graph on simple low-dimensional qubit lattices
• Authors: Yu-Hang Dang, Shyam Dhamapurkar, Xiao-Long Zhu, Zheng-Yang Zhou, Hao-Yu Guan, Xiu-Hao Deng,
• Abstract summary: This paper presents two approaches to constructing complex quantum networks from simple qubit arrays. The first approach utilizes a subset of qubits as tunable couplers, effectively yielding a range of non-trivial graph-based Hamiltonians. The second approach employs dynamic graph engineering by periodically activating and deactivating couplers, enabling the creation of effective quantum walks.
• Score: 3.861715730686731
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In quantum computing, the connectivity of qubits placed on two-dimensional chips limits the scalability and functionality of solid-state quantum computers. This paper presents two approaches to constructing complex quantum networks from simple qubit arrays, specifically grid lattices. The first approach utilizes a subset of qubits as tunable couplers, effectively yielding a range of non-trivial graph-based Hamiltonians. The second approach employs dynamic graph engineering by periodically activating and deactivating couplers, enabling the creation of effective quantum walks with longer-range couplings. Numerical simulations verify the effective dynamics of these approaches. In terms of these two approaches, we explore implementing various graphs, including cubes and fullerenes, etc, on two-dimensional lattices. These techniques facilitate the realization of analog quantum simulation, particularly continuous-time quantum walks discussed in detail in this manuscript, for different computational tasks on superconducting quantum chips despite their inherent low dimensional simple architecture.

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