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Holonomic quantum computation uses non-Abelian geometric phases to realize error resilient quantum gates. Nonadiabatic holonomic gates are particularly suitable to avoid unwanted decoherence effects, as they can be performed at high speed.…

Quantum Physics · Physics 2019-04-11 Nicklas Ramberg , Erik Sjöqvist

Adiabatic quantum computing is a universal model for quantum computing whose implementation using a gate-based quantum computer requires depths that are unreachable in the early fault-tolerant era. To mitigate the limitations of near-term…

Quantum Physics · Physics 2024-10-18 Ioannis Kolotouros , Ioannis Petrongonas , Miloš Prokop , Petros Wallden

We develop new protocols for high-fidelity single qubit gates that exploit and extend theoretical ideas for accelerated adiabatic evolution. Our protocols are compatible with qubit architectures with highly isolated logical states, where…

Quantum Physics · Physics 2019-09-25 Hugo Ribeiro , Aashish A. Clerk

In quantum control, geometrical operations could provide an extra layer of robustness against control errors. However, the conventional non-adiabatic holonomic quantum computation (NHQC) is limited by the fact that all of the operations…

Quantum Physics · Physics 2021-03-02 Bao-Jie Liu , Zheng-Yuan Xue , Man-Hong Yung

The main obstacles to the realization of high-fidelity quantum gates are the control errors arising from inaccurate manipulation of a quantum system and the decoherence caused by the interaction between the quantum system and its…

Quantum Physics · Physics 2021-01-15 P. Z. Zhao , X. Wu , D. M. Tong

Efficient control schemes that enable fast, high-fidelity operations are essential for any practical quantum computation. However, current optimization protocols are intractable due to stringent requirements imposed by the microscopic…

Quantum Physics · Physics 2025-11-13 Christian Ventura Meinersen , Stefano Bosco , Maximilian Rimbach-Russ

Steering a quantum harmonic oscillator state along cyclic trajectories leads to a path-dependent geometric phase. Here we describe an experiment observing this geometric phase in an electronic harmonic oscillator. We use a superconducting…

Quantum Physics · Physics 2013-06-21 M. Pechal , S. Berger , A. A. Abdumalikov , J. M. Fink , J. A. Mlynek , L. Steffen , A. Wallraff , S. Filipp

The design of coupler-based superconducting two-qubit gates simplifies circuit layout and alleviate frequency crowding, thereby enhancing the scalability and flexibility of quantum chips. However, in such architectures, a trade-off often…

Quantum Physics · Physics 2026-04-13 Bo-Xun Deng , Jia-Qi Hu , Cheng-Yun Ding , Zheng-Yuan Xue , Tao Chen

We propose a simple but versatile protocol to engineer time-dependent Hamiltonians inversely for geometric quantum computation. By utilizing SU(2) transformation, a speedup goal on gate operation is achieved with more freedom to design the…

Quantum Physics · Physics 2021-03-31 Jian-jian Cheng , Lin Zhang

We present a new approach to quantum computation involving the geometric phase. In this approach, an entire computation is performed by adiabatically evolving a suitably chosen quantum system in a closed circuit in parameter space. The…

Quantum Physics · Physics 2007-05-23 David R. Mitchell

We propose an alternative scheme of shortcuts to quantum phase gate in a much shorter time based on the approach of Lewis-Riesenfeld invariants in cavity quantum electronic dynamics (QED) systems. This scheme can be used to perform…

Quantum Physics · Physics 2015-04-27 Yan Liang , Xin Ji

When a quantum system is driven adiabatically through a parametric cycle in a degenerate Hilbert space, the state would acquire a non-Abelian geometric phase, which is stable and forms the foundation for holonomic quantum computation (HQC).…

A shortcut-to-adiabatic protocol for the realization of a fast and high-fidelity controlled-phase gate in Rydberg atoms is developed. The adiabatic state transfer, driven in the high-blockade limit, is sped up by compensating nonadiabatic…

Quantum Physics · Physics 2025-11-04 Luis S. Yagüe Bosch , Tim Ehret , Francesco Petiziol , Ennio Arimondo , Sandro Wimberger

Quantum computation that combines the coherence stabilization virtues of decoherence-free subspaces and the fault tolerance of geometric holonomic control is of great practical importance. Some schemes of adiabatic holonomic quantum…

Quantum Physics · Physics 2015-06-11 G. F. Xu , J. Zhang , D. M. Tong , Erik Sjoqvist , L. C. Kwek

Geometric phase that manifests itself in number of optic and nuclear experiments is shown to be a useful tool for realization of quantum computations in so called holonomic quantum computer model (HQCM). This model is considered as an…

Quantum Physics · Physics 2007-07-04 A. E. Shalyt-Margolin , V. I. Strazhev , A. Ya. Tregubovich

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…

Quantum Physics · Physics 2019-08-19 A. A. Abdumalikov , J. M. Fink , K. Juliusson , M. Pechal , S. Berger , A. Wallraff , S. Filipp

Geometric manipulation of a quantum system offers a method for fast, universal, and robust quantum information processing. Here, we propose a scheme for universal all-geometric quantum computation using non-adiabatic quantum holonomies. We…

Quantum Physics · Physics 2014-01-27 Vahid Azimi Mousolou , Carlo M. Canali , Erik Sjöqvist

Distributed quantum computing offers a potential solution to the complexity of superconducting chip hardware layouts and error correction algorithms. High-quality gates between distributed chips enable the simplification of existing error…

Quantum Physics · Physics 2025-11-04 Yunan Li , Xi Zhang , Weixin Zhang , Ruonan Guo , Yu Zhang , Xinsheng Tan , Yang Yu

We show how a robust high-fidelity universal set of quantum gates can be implemented using a single form of non-adiabatic rapid passage whose parameters are optimized to maximize gate fidelity and reward gate robustness. Each gate in the…

Quantum Physics · Physics 2015-05-27 Ran Li , Frank Gaitan

Experimental realization of a universal set of quantum logic gates is the central requirement for implementation of a quantum computer. An all-geometric approach to quantum computation offered a paradigm for implementation where all the…

Quantum Physics · Physics 2015-06-23 C. Zu , W. -B. Wang , L. He , W. -G. Zhang , C. -Y. Dai , F. Wang , L. -M. Duan