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The challenge in building high-fidelity quantum gates lies in overcoming control errors and decoherence effects caused by the coupling between the quantum system and the external environment. Nonadiabatic holonomic quantum computation uses…

量子物理 · 物理学 2025-11-04 Yue Heng Liu , Qi Li

We implement a non-adiabatic universal set of holonomic quantum gates based on abelian holonomies using dynamical invariants, by Lie-algebraic methods. Unlike previous implementations, presented scheme does not rely on secondary methods…

量子物理 · 物理学 2014-02-10 Utkan Güngördü , Yidun Wan , Mikio Nakahara

Non-Abelian geometric phases acquired in cyclic quantum evolution can be utilized as natural resources for constructing robust holonomic gates for quantum information processing. Recently, an extensible holonomic quantum computation (HQC)…

量子物理 · 物理学 2020-09-09 Bao-Jie Liu , Man-Hong Yung

Non-adiabatic holonomic quantum computation is a method used to implement high-speed quantum gates with non-Abelian geometric phases associated with paths in state space. Due to their noise tolerance, these phases can be used to construct…

量子物理 · 物理学 2022-12-06 Tomas André , Erik Sjöqvist

Topological quantum computing promises error-resistant quantum computation without active error correction. However, there is a worry that during the process of executing quantum gates by braiding anyons around each other, extra anyonic…

量子物理 · 物理学 2015-08-05 Chris Cesare , Andrew J. Landahl , Dave Bacon , Steven T. Flammia , Alice Neels

Geometric phases and holonomies (their non-commuting generalizations) are a promising resource for the realization of high-fidelity quantum operations in noisy devices, due to their intrinsic fault-tolerance against noise and experimental…

量子物理 · 物理学 2018-10-16 Felix Kleißler , Andrii Lazariev , Silvia Arroyo-Camejo

Non-adiabatic holonomic quantum computation in decoherence-free subspaces protects quantum information from control imprecisions and decoherence. For the non-collective decoherence that each qubit has its own bath, we show the…

量子物理 · 物理学 2016-01-13 Chunfang Sun , Gangcheng Wang , Chunfeng Wu , Haodi Liu , Xun-Li Feng , Jing-Ling Chen , Kang Xue

Nonadiabatic holonomic quantum computation has attracted increasing interest because of its robustness. In this paper, based on the shortcuts to adiabaticity (STA), we propose a scheme to construct a three-qubit nonadiabatic holonomic gate…

量子物理 · 物理学 2018-12-27 Bi-Hua Huang , Yi-Hao Kang , Zhi-Cheng Shi , Jie Song , Yan Xia

We introduce a generalized method of holonomic quantum computation (HQC) based on encoding in subsystems. As an application, we propose a scheme for applying holonomic gates to unencoded qubits by the use of a noisy ancillary qubit. This…

量子物理 · 物理学 2009-08-28 Ognyan Oreshkov

Quantum Hamiltonian Computing is a recent approach that uses quantum systems, in particular a single molecule, to perform computational tasks. Within this approach, we present explicit methods to construct logic gates using two different…

量子物理 · 物理学 2019-06-18 Omid Faizy Namarvar , Olivier Giraud , Bertrand Georgeot , Christian Joachim

Holonomic quantum computation exploits a quantum state's non-trivial, matrix-valued geometric phase (holonomy) to perform fault-tolerant computation. Holonomies arising from systems where the Hamiltonian traces a continuous path through…

量子物理 · 物理学 2022-02-08 Cornelis J. G. Mommers , Erik Sjöqvist

The holonomic approach to controlling (nitrogen-vacancy) NV-center qubits provides an elegant way of theoretically devising universal quantum gates that operate on qubits via calculable microwave pulses. There is, however, a lack of…

量子物理 · 物理学 2022-02-17 Shaman Bhattacharyya , Somnath Bhattacharyya

The geometric aspects of quantum mechanics are underlined most prominently by the concept of geometric phases, which are acquired whenever a quantum system evolves along a closed path in Hilbert space. The geometric phase is determined only…

量子物理 · 物理学 2019-08-19 A. A. Abdumalikov , J. M. Fink , K. Juliusson , M. Pechal , S. Berger , A. Wallraff , S. Filipp

Implementing holonomic quantum computation is a challenging task as it requires complicated interaction among multilevel systems. Here we propose to implement nonadiabatic holonomic quantum computation based on dressed-state qubits in…

量子物理 · 物理学 2017-05-31 Zheng-Yuan Xue , Feng-Lei Gu , Zhuo-Ping Hong , Zi-He Yang , Dan-Wei Zhang , Yong Hu , J. Q. You

Geometric phase is an indispensable element for achieving robust and high-fidelity quantum gates due to its built-in noise-resilience feature. However, due to the complexity of manipulation and the intrinsic leakage of the encoded quantum…

量子物理 · 物理学 2019-12-12 Li-Na Ji , Tao Chen , Zheng-Yuan Xue

Nonadiabatic holonomic quantum computation (NHQC) provides a method to implement error resilient gates and that has attracted considerable attention recently. Since it was proposed, three-level {\Lambda} systems have become the typical…

量子物理 · 物理学 2021-05-19 G. F. Xu , P. Z. Zhao , Erik Sjöqvist , D. M. Tong

Quantum computation with quantum gates induced by geometric phases is regarded as a promising strategy in fault tolerant quantum computation, due to its robustness against operational noises. However, because of the parametric restriction…

Reliable quantum information processing requires high-fidelity universal manipulation of quantum systems within the characteristic coherence times. Non-adiabatic holonomic quantum computation offers a promising approach to implement fast,…

量子物理 · 物理学 2017-04-12 Vahid Azimi Mousolou

Experimental realization of a universal set of quantum logic gates with high-fidelity is critical to quantum information processing, which is always challenging by inevitable interaction between the quantum system and environment. Geometric…

Geometric phases accompanying adiabatic processes in quantum systems can be utilized as unitary gates for quantum computation. Optimization of control of the adiabatic process naturally leads to the isoholonomic problem. The isoholonomic…

量子物理 · 物理学 2017-08-23 Shogo Tanimura