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We present schemes for geometric phase compensation in adiabatic passage which can be used for the implementation of quantum logic gates with atomic ensembles consisting of an arbitrary number of strongly interacting atoms. Protocols using…

We propose a protocol to realize atomic nonadiabatic holonomic quantum computation (NHQC) with two computational atoms and an auxiliary atom. Dynamics of the system is analyzed in the regime of Rydberg blockade, and robust laser pulses are…

Quantum Physics · Physics 2020-09-02 Yi-Hao Kang , Zhi-Cheng Shi , Jie Song , Yan Xia

The nonadiabatic holonomic quantum computation based on three-level systems has wide applicability experimentally due to its simpler energy level structure requirement and inherent robustness from the geometric phase. However, in previous…

Quantum Physics · Physics 2023-10-03 Pu Shen , Yan Liang , Tao Chen , Zheng-Yuan Xue

We propose a feasible scheme to achieve quantum computation based on geometric manipulation of ensembles of atoms, and analyze it for neutral rubidium atoms magnetically trapped in planoconcave microcavities on an atom chip. The geometric…

Quantum Physics · Physics 2013-08-20 Yicong Zheng , Todd A. Brun

Quantum computation based on nonadiabatic geometric phases has attracted a broad range of interests, due to its fast manipulation and inherent noise resistance. However, it is limited to some special evolution paths, and the gate-times are…

Quantum Physics · Physics 2021-11-29 Cheng-Yun Ding , Li-Na Ji , Tao Chen , Zheng-Yuan Xue

In this paper we study the implementation of non-adiabatic geometrical quantum gates with in semiconductor quantum dots. Different quantum information enconding/manipulation schemes exploiting excitonic degrees of freedom are discussed. By…

Quantum Physics · Physics 2009-11-10 Paolo Solinas , Paolo Zanardi , Nino Zangh\`ı , Fausto Rossi

Geometric phases are robust to local noises and the nonadiabatic ones can reduce the evolution time, thus nonadiabatic geometric gates have strong robustness and can approach high fidelity. However, the advantage of geometric phase has not…

Quantum Physics · Physics 2024-02-22 Yue Chen , Li-Na Ji , Zheng-Yuan Xue , Yan Liang

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,…

Quantum Physics · Physics 2017-04-12 Vahid Azimi Mousolou

We have numerically simulated quantum tomography of single-qubit and two-qubit quantum gates with qubits represented by mesoscopic ensembles containing random numbers of atoms. Such ensembles of strongly interacting atoms in the regime of…

Rydberg quantum gate serving as an indispensable computing unit for neutral-atom quantum computation, has attracted intense research efforts for the last decade. However the state-of-the-art experiments have not reached the high gate…

Quantum Physics · Physics 2023-06-08 Rui Li , Jing Qian , Weiping Zhang

We propose to apply stimulated adiabatic passage to transfer atoms from their ground state into Rydberg excited states. Atoms a few micrometers apart experience a dipole-dipole interaction among Rydberg states that is strong enough to shift…

Quantum Physics · Physics 2009-11-13 Ditte Moller , Lars Bojer Madsen , Klaus Molmer

Geometric quantum computation relies on the geometric phase that arises in adiabatic cyclic evolutions of non-degenerate quantum systems, enabling the design of robust quantum gates. However, the adiabatic condition requires long evolution…

Quantum Physics · Physics 2025-09-11 M. Estefanía Rus , Alejandro Ferrón , Omar Osenda , Sergio S. Gomez

Nonadiabatic holonomic quantum computation uses non-Abelian geometric phases to implement a universal set of quantum gates that are robust against control imperfections and decoherence. Until now, a number of three-level-based schemes of…

Quantum Physics · Physics 2018-11-16 G. F. Xu , D. M. Tong , Erik Sjöqvist

Holonomic quantum computation exploits the geometric evolution of eigenspaces of a degenerate Hamiltonian to implement unitary evolution of computational states. In this work we introduce a framework for performing scalable quantum…

Quantum Physics · Physics 2026-04-29 Clara Wassner , Tommaso Guaita , Jens Eisert , Jose Carrasco

We propose a protocol to realize nonadiabatic geometric quantum computation of small-amplitude Schr\"odinger cat qubits via invariant-based reverse engineering. We consider a system with a two-photon driven Kerr nonlinearity, which provides…

Quantum Physics · Physics 2022-04-05 Yi-Hao Kang , Ye-Hong Chen , Xin Wang , Jie Song , Yan Xia , Adam Miranowicz , Shi-Biao Zheng , Franco Nori

Arrays of optically trapped atoms excited to Rydberg states have recently emerged as a competitive physical platform for quantum simulation and computing, where high-fidelity state preparation and readout, quantum logic gates and controlled…

Quantum Physics · Physics 2021-05-19 M. Morgado , S. Whitlock

Fault-tolerant implementation of quantum gates is one of preconditions for realizing quantum computation. The platform of Rydberg atoms is one of the most promising candidates for achieving quantum computation. We propose to implement a…

Quantum Physics · Physics 2021-01-08 Jin-Lei Wu , Yan Wang , Jin-Xuan Han , Shi-Lei Su , Yan Xia , Yongyuan Jiang , Jie Song

Previous schemes of nonadiabatic holonomic quantum computation were focused mainly on realizing a universal set of elementary gates. Multiqubit controlled gates could be built by decomposing them into a series of the universal gates. In…

Quantum Physics · Physics 2019-12-23 P. Z. Zhao , G. F. Xu , D. M. Tong

We show that an array of polar molecules interacting with Rydberg atoms is a promising hybrid system for scalable quantum computation. Quantum information is stored in long-lived hyperfine or rotational states of molecules which interact…

Quantum Physics · Physics 2022-06-07 Chi Zhang , M. R. Tarbutt

We present a review of quantum computation with neutral atom qubits. After an overview of architectural options and approaches to preparing large qubit arrays we examine Rydberg mediated gate protocols and fidelity for two- and multi-qubit…

Quantum Physics · Physics 2016-11-03 M. Saffman