Adiabatic holonomic quantum computation in decoherence-free subspaces with two-body interaction

doi:10.1088/1674-1056/adeb5e

Abstract Adiabatic holonomic gates possess the geometric robustness of adiabatic geometric phases, i.e., dependence only on the evolution path of the parameter space but not on the evolution details of the quantum system, which, when coordinated with decoherence-free subspaces, permits additional resilience to the collective dephasing environment. However, the previous scheme [Phys. Rev. Lett. 95 130501 (2005)] of adiabatic holonomic quantum computation in decoherence-free subspaces requires four-body interaction that is challenging in practical implementation. In this work, we put forward a scheme to realize universal adiabatic holonomic quantum computation in decoherence-free subspaces using only realistically available two-body interaction, thereby avoiding the difficulty of implementing four-body interaction. Furthermore, an arbitrary one-qubit gate in our scheme can be realized by a single-shot implementation, which eliminates the need to combine multiple gates for realizing such a gate.

Keywords: adiabatic evolution holonomic quantum computation decoherence-free subspaces

Received: 25 April 2025
Revised: 21 June 2025
Accepted manuscript online: 03 July 2025

PACS:	03.65.Vf	(Phases: geometric; dynamic or topological)
	03.67.Lx	(Quantum computation architectures and implementations)
	03.67.Pp	(Quantum error correction and other methods for protection against decoherence)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12305021).

Corresponding Authors: Lei Qiao, Peizi Zhao
E-mail: qiaolei@buaa.edu.cn;pzzhao@sdu.edu.cn

Cite this article:

Xiaoyu Sun(孙晓雨), Lei Qiao(乔雷), and Peizi Zhao(赵培茈) Adiabatic holonomic quantum computation in decoherence-free subspaces with two-body interaction 2025 Chin. Phys. B 34 090308

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Adiabatic holonomic quantum computation in decoherence-free subspaces with two-body interaction

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