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In quantum chemistry, the variational quantum eigensolver (VQE) is a promising algorithm for molecular simulations on near-term quantum computers. However, VQEs using hardware-efficient circuits face scaling challenges due to the barren…

量子物理 · 物理学 2024-09-27 Rui Mao , Guojing Tian , Xiaoming Sun

We present an initialisation method for variational quantum algorithms applicable to intermediate scale quantum computers. The method uses simulated annealing of the efficiently simulable Clifford parameter points as a pre-optimisation to…

量子物理 · 物理学 2022-07-05 M. H. Cheng , K. E. Khosla , C. N. Self , M. Lin , B. X. Li , A. C. Medina , M. S. Kim

A new paradigm for data science has emerged, with quantum data, quantum models, and quantum computational devices. This field, called Quantum Machine Learning (QML), aims to achieve a speedup over traditional machine learning for data…

量子物理 · 物理学 2023-05-24 Supanut Thanasilp , Samson Wang , Nhat A. Nghiem , Patrick J. Coles , M. Cerezo

Quantum Neural Networks (QNNs) with random structures have poor trainability due to the exponentially vanishing gradient as the circuit depth and the qubit number increase. This result leads to a general belief that a deep QNN will not be…

量子物理 · 物理学 2022-09-28 Kaining Zhang , Min-Hsiu Hsieh , Liu Liu , Dacheng Tao

Classical optimization of parameterized quantum circuits is a widely studied methodology for the preparation of complex quantum states, as well as the solution of machine learning and optimization problems. However, it is well known that…

Ground state preparation is classically intractable for general Hamiltonians. On quantum devices, shallow parameterized circuits can be effectively trained to obtain short-range entangled states under the paradigm of variational quantum…

量子物理 · 物理学 2024-04-11 Hao-Kai Zhang , Shuo Liu , Shi-Xin Zhang

Vanishing gradients can pose substantial obstacles for high-dimensional optimization problems. Here we consider energy minimization problems for quantum many-body systems with extensive Hamiltonians and finite-range interactions, which can…

量子物理 · 物理学 2025-03-26 Thomas Barthel , Qiang Miao

In the paper, a gradient-free optimization algorithm for single-qubit quantum classifier is proposed to overcome the effects of barren plateau caused by quantum devices. A rotation gate RX({\phi}) is applied on a single-qubit binary quantum…

量子物理 · 物理学 2022-05-11 Anqi Zhang , Xiaoyun He , Shengmei Zhao

We present hierarchical learning, a novel variational architecture for efficient training of large-scale variational quantum circuits. We test and benchmark our technique for distribution loading with quantum circuit born machines (QCBMs).…

量子物理 · 物理学 2023-11-23 Hrant Gharibyan , Vincent Su , Hayk Tepanyan

Variational Quantum Algorithms are promising candidates for near-term quantum computing, yet they face scalability challenges due to barren plateaus, where gradients vanish exponentially relative to system size. Recent conjectures suggest…

量子物理 · 物理学 2026-05-21 Sabri Meyer , Francesco Scala , Francesco Tacchino , Aurelien Lucchi

Quantum machine learning has emerged as a promising utilization of near-term quantum computation devices. However, algorithmic classes such as variational quantum algorithms have been shown to suffer from barren plateaus due to vanishing…

量子物理 · 物理学 2024-01-23 Lukas Broers , Ludwig Mathey

Variational quantum algorithms (VQAs) are widely applied in the noisy intermediate-scale quantum era and are expected to demonstrate quantum advantage. However, training VQAs faces difficulties, one of which is the so-called barren plateaus…

量子物理 · 物理学 2023-02-07 Huan-Yu Liu , Tai-Ping Sun , Yu-Chun Wu , Yong-Jian Han , Guo-Ping Guo

Variational quantum algorithms are viewed as promising candidates for demonstrating quantum advantage on near-term devices. These approaches typically involve the training of parameterized quantum circuits through a classical optimization…

A principal concern in the optimisation of parametrised quantum circuits is the presence of barren plateaus, which present fundamental challenges to the scalability of applications, such as variational algorithms and quantum machine…

量子物理 · 物理学 2025-06-30 Nikhil Khatri , Stefan Zohren , Gabriel Matos

Barren plateau landscapes correspond to gradients that vanish exponentially in the number of qubits. Such landscapes have been demonstrated for variational quantum algorithms and quantum neural networks with either deep circuits or global…

量子物理 · 物理学 2021-10-06 Andrew Arrasmith , M. Cerezo , Piotr Czarnik , Lukasz Cincio , Patrick J. Coles

Variational quantum algorithms dominate gate-based applications of modern quantum processors. The so called, {\it layer-wise trainability conjecture} appears in various works throughout the variational quantum computing literature. The…

量子物理 · 物理学 2021-03-24 Ernesto Campos , Aly Nasrallah , Jacob Biamonte

While Quantum Convolutional Neural Networks (QCNNs) offer a theoretical paradigm for quantum machine learning, their practical implementation is severely bottlenecked by barren plateaus -- the exponential vanishing of gradients -- and poor…

机器学习 · 计算机科学 2026-03-13 Radhakrishnan Delhibabu

Variational quantum algorithms dominate contemporary gate-based quantum enhanced optimisation, eigenvalue estimation and machine learning. Here we establish the quantum computational universality of variational quantum computation by…

量子物理 · 物理学 2021-05-25 Jacob Biamonte

Variational quantum algorithms are expected to demonstrate the advantage of quantum computing on near-term noisy quantum computers. However, training such variational quantum algorithms suffers from gradient vanishing as the size of the…

量子物理 · 物理学 2021-11-29 Anbang Wu , Gushu Li , Yufei Ding , Yuan Xie

The Gottesman-Knill theorem asserts that a quantum circuit composed of Clifford gates can be efficiently simulated on a classical computer. Here we revisit this theorem and extend it to quantum circuits composed of Clifford and T gates,…

量子物理 · 物理学 2019-04-11 Sergey Bravyi , David Gosset