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An adiabatic cyclic evolution of control parameters of a quantum system ends up with a holonomic operation on the system, determined entirely by the geometry in the parameter space. The operation is given either by a simple phase factor (a…

量子物理 · 物理学 2014-01-23 Mahn-Soo Choi

The development of quantum annealing machines (QAMs) based on superconducting qubits has progressed greatly in recent years and these machines are now widely used in both academia and commerce. On the other hand, QAMs based on semiconductor…

量子物理 · 物理学 2019-03-27 Tetsufumi Tanamoto , Yoshifumi Nishi , Jun Deguchi

Berry phase in semiconductor quantum dots (QDs) can be induced by moving the dots adiabatically in a closed loop with the application of the distortion potential in the lateral direction. We show that the Berry phase is highly sensitive to…

介观与纳米尺度物理 · 物理学 2014-07-15 Sanjay Prabhakar , Roderick Melnik , Luis L Bonilla

Adiabatic $U(2)$ geometric phases are studied for arbitrary quantum systems with a three-dimensional Hilbert space. Necessary and sufficient conditions for the occurrence of the non-Abelian geometrical phases are obtained without actually…

量子物理 · 物理学 2008-11-26 Ali Mostafazadeh

We design an adiabatic quantum algorithm for the counting problem, i.e., approximating the proportion, $\alpha$, of the marked items in a given database. As the quantum system undergoes a designed cyclic adiabatic evolution, it acquires a…

量子物理 · 物理学 2009-08-21 Chi Zhang , Zhaohui Wei , Anargyros Papageorgiou

The key for realizing fault-tolerant quantum computation lies in maintaining the coherence of all qubits so that high-fidelity and robust quantum manipulations on them can be achieved. One of the promising approaches is to use geometric…

量子物理 · 物理学 2021-10-13 Sai Li , Zheng-Yuan Xue

Nonadiabatic holonomic quantum computation has received increasing attention due to its robustness against control errors. However, all the previous schemes have to use at least two sequentially implemented gates to realize a general…

量子物理 · 物理学 2017-03-31 Hang Li , Guilu Long

Achieving stable, high-quality quantum dots has proven challenging within device architectures rooted in conventional solid-state device fabrication paradigms. In fact, these are grappled with complex protocols in order to balance ease of…

介观与纳米尺度物理 · 物理学 2024-06-25 Domenic Prete , Valeria Demontis , Valentina Zannier , Lucia Sorba , Fabio Beltram , Francesco Rossella

We propose a scheme for realizing the scalable quantum computation based on nonidentical quantum dots trapped in a single-mode waveguide. In this system, the quantum dots simultaneously interact with a large detuned waveguide and classical…

量子物理 · 物理学 2015-03-17 Jian-Qi Zhang , Ya-Fei Yu , Xun-Li Feng , Zhi-Ming Zhang

Geometric phase is a promising element to induce high-fidelity and robust quantum operations due to its built-in noise-resilience feature. Unfortunately, its practical applications are usually circumscribed by requiring complex interactions…

量子物理 · 物理学 2020-12-08 Tao Chen , Zheng-Yuan Xue

Unitary quantum gates constitute the building blocks of Quantum Computing in the circuit paradigm. In this work, we engineer a locally driven two-qubit Hamiltonian whose instantaneous ground-state dynamics generates the controlled-NOT…

A novel method of coherent manipulation of the electron tunneling in quantum-dots is proposed, which utilizes the quantum interference in nonadiabatic double-crossing of the discrete energy levels. In this method, we need only a smoothly…

介观与纳米尺度物理 · 物理学 2009-11-10 Keiji Saito , Yosuke Kayanuma

We review a scheme for the systematic design of quantum control protocols based on shortcuts to adiabaticity in few-level quantum systems. The adiabatic dynamics is accelerated by introducing high-frequency modulations in the control…

量子物理 · 物理学 2024-02-08 Francesco Petiziol , Florian Mintert , Sandro Wimberger

Nonadiabatic holonomic quantum computation (NHQC) has attracted significant attention due to its fast evolution and the geometric nature induced resilience to local noises. However, its long operation time and complex physical…

量子物理 · 物理学 2022-03-23 Yan Liang , Pu Shen , Tao Chen , Zheng-Yuan Xue

It is shown that in many cases an adequate description of optical spectra of semiconductor quantum dots requires a treatment beyond the commonly used adiabatic approximation. We have developed a theory of phonon-assisted optical transitions…

介观与纳米尺度物理 · 物理学 2007-05-23 J. T. Devreese , V. M. Fomin , E. P. Pokatilov , V. N. Gladilin , S. N. Klimin

We develop a unified quantum geometric framework to understand reactive quantum dynamics. The critical roles of the quantum geometry of adiabatic electronic states in both adiabatic and non-adiabatic quantum dynamics are unveiled. A…

化学物理 · 物理学 2025-05-19 Yujuan Xie , Ruoxi Liu , Bing Gu

Quantum algorithms are prominent in the pursuit of achieving quantum advantage in various computational tasks. However, addressing challenges, such as limited qubit coherence and high error rate in near-term devices, requires extensive…

量子物理 · 物理学 2024-07-31 Julián Ferreiro-Vélez , Iñaki Iriarte-Zendoia , Yue Ban , Xi Chen

Quantum adiabatic transfer is widely used in quantum computation and quantum simulation. However, the transfer speed is limited by the quantum adiabatic approximation condition, which hinders its application in quantum systems with a short…

量子物理 · 物理学 2022-08-31 Wen Zheng , Jianwen Xu , Zhimin Wang , Yuqian Dong , Dong Lan , Xinsheng Tan , Yang Yu

Despite its simplicity and strong theoretical guarantees, adiabatic state preparation has received considerably less interest than variational approaches for the preparation of low-energy electronic structure states. Two major reasons for…

量子物理 · 物理学 2025-02-19 Etienne Granet , Khaldoon Ghanem , Henrik Dreyer

Holonomic quantum computation is the idea to use non-Abelian geometric phases to implement universal quantum gates that are robust to fluctuations in control parameters. Here, we propose a compact design for a holonomic quantum computer…

量子物理 · 物理学 2015-11-04 Zeynep Nilhan Gürkan , Erik Sjöqvist
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