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Simulating large-scale coupled-oscillator systems presents substantial computational challenges for classical algorithms, particularly when pursuing first-principles analyses in the thermodynamic limit. Motivated by the quantum algorithm…

Quantum computers are the ideal platform for quantum simulations. Given enough coherent operations and qubits, such machines can be leveraged to simulate strongly correlated materials, where intricate quantum effects give rise to…

Quantum Physics · Physics 2016-12-14 Pierre-Luc Dallaire-Demers , Frank K. Wilhelm

Several authors have described the basic requirements essential to build a scalable quantum computer. Because many physical implementation schemes for quantum computing rely on nearest neighbor interactions, there is a hidden quantum…

Quantum Physics · Physics 2009-11-10 Gavin K. Brennen , Daegene Song , Carl J. Williams

People are witnessing quantum computing revolutions nowadays. Progress in the number of qubits, coherence times and gate fidelities are happening. Although quantum error correction era has not arrived, the research and development of…

Quantum Physics · Physics 2023-10-17 Guanru Feng , Dawei Lu , Jun Li , Tao Xin , Bei Zeng

Recent developments in quantum hardware indicate that systems featuring more than 50 physical qubits are within reach. At this scale, classical simulation will no longer be feasible and there is a possibility that such quantum devices may…

Quantum Physics · Physics 2018-03-06 Mathias Soeken , Thomas Häner , Martin Roetteler

We present a framework that utilizes quantum algorithms, an architecture aware quantum noise model and an ideal simulator to benchmark quantum computers. The benchmark metrics highlight the difference between the quantum computer evolution…

Quantum Physics · Physics 2021-12-20 Konstantinos Georgopoulos , Clive Emary , Paolo Zuliani

Quantum computers use quantum mechanical phenomena to perform conventionally intractable calculations for specific problems. Despite being universal machines, quantum computers are not expected to replace classical computers, but rather, to…

Emerging Technologies · Computer Science 2025-07-08 Philip Döbler , Manpreet Singh Jattana

Medium-scale quantum devices that integrate about hundreds of physical qubits are likely to be developed in the near future. However, such devices will lack the resources for realizing quantum fault tolerance. Therefore, the main challenge…

Quantum Physics · Physics 2021-12-24 Chao Song , Jing Cui , H. Wang , J. Hao , H. Feng , Ying Li

Quantum computing experiments are transitioning from running on physical qubits to using encoded, logical qubits. Fault-tolerant computation can identify and correct errors, and has the potential to enable the dramatically reduced logical…

Quantum Computing is a new and exciting field at the intersection of mathematics, computer science and physics. It concerns a utilization of quantum mechanics to improve the efficiency of computation. Here we present a gentle introduction…

Quantum Physics · Physics 2007-08-03 Noson S. Yanofsky

The controlled-NOT gate and controlled square-root NOT gate play an important role in quantum algorithm. This article reports the experimental results of these two universal quantum logic gates (controlled square-root NOT gate and…

Quantum Physics · Physics 2007-05-23 Daxiu Wei , Xiaodong Yang , Jun Luo , Xianping Sun , Xizhi Zeng , Maili Liu , Shangwu Ding

Quantum computing promises to revolutionize various fields, yet the execution of quantum programs necessitates an effective compilation process. This involves strategically mapping quantum circuits onto the physical qubits of a quantum…

Quantum Physics · Physics 2024-12-19 Tian Li , Xiao-Yue Xu , Chen Ding , Tian-Ci Tian , Wei-You Liao , Shuo Zhang , He-Liang Huang

We apply numerical optimization and linear algebra algorithms for classical computers to the problem of automatically synthesizing algorithms for quantum computers. Using our framework, we apply several common techniques from these…

Numerical Analysis · Mathematics 2025-09-16 Yuxin Huang , Benjamin E. Grossman-Ponemon , David A. B. Hyde

We present an efficient family of quantum circuits for a fundamental primitive in quantum information theory, the Schur transform. The Schur transform on n d-dimensional quantum systems is a transform between a standard computational basis…

Quantum Physics · Physics 2008-06-28 Dave Bacon , Isaac L. Chuang , Aram W. Harrow

In the relentless pursuit of quantum computational advantage, we present a significant advancement with the development of Zuchongzhi 3.0. This superconducting quantum computer prototype, comprising 105 qubits, achieves high operational…

Quantum Physics · Physics 2024-12-17 Dongxin Gao , Daojin Fan , Chen Zha , Jiahao Bei , Guoqing Cai , Jianbin Cai , Sirui Cao , Xiangdong Zeng , Fusheng Chen , Jiang Chen , Kefu Chen , Xiawei Chen , Xiqing Chen , Zhe Chen , Zhiyuan Chen , Zihua Chen , Wenhao Chu , Hui Deng , Zhibin Deng , Pei Ding , Xun Ding , Zhuzhengqi Ding , Shuai Dong , Yupeng Dong , Bo Fan , Yuanhao Fu , Song Gao , Lei Ge , Ming Gong , Jiacheng Gui , Cheng Guo , Shaojun Guo , Xiaoyang Guo , Tan He , Linyin Hong , Yisen Hu , He-Liang Huang , Yong-Heng Huo , Tao Jiang , Zuokai Jiang , Honghong Jin , Yunxiang Leng , Dayu Li , Dongdong Li , Fangyu Li , Jiaqi Li , Jinjin Li , Junyan Li , Junyun Li , Na Li , Shaowei Li , Wei Li , Yuhuai Li , Yuan Li , Futian Liang , Xuelian Liang , Nanxing Liao , Jin Lin , Weiping Lin , Dailin Liu , Hongxiu Liu , Maliang Liu , Xinyu Liu , Xuemeng Liu , Yancheng Liu , Haoxin Lou , Yuwei Ma , Lingxin Meng , Hao Mou , Kailiang Nan , Binghan Nie , Meijuan Nie , Jie Ning , Le Niu , Wenyi Peng , Haoran Qian , Hao Rong , Tao Rong , Huiyan Shen , Qiong Shen , Hong Su , Feifan Su , Chenyin Sun , Liangchao Sun , Tianzuo Sun , Yingxiu Sun , Yimeng Tan , Jun Tan , Longyue Tang , Wenbing Tu , Cai Wan , Jiafei Wang , Biao Wang , Chang Wang , Chen Wang , Chu Wang , Jian Wang , Liangyuan Wang , Rui Wang , Shengtao Wang , Xinzhe Wang , Zuolin Wei , Jiazhou Wei , Dachao Wu , Gang Wu , Jin Wu , Shengjie Wu , Yulin Wu , Shiyong Xie , Lianjie Xin , Yu Xu , Chun Xue , Kai Yan , Weifeng Yang , Xinpeng Yang , Yang Yang , Yangsen Ye , Zhenping Ye , Chong Ying , Jiale Yu , Qinjing Yu , Wenhu Yu , Shaoyu Zhan , Feifei Zhang , Haibin Zhang , Kaili Zhang , Pan Zhang , Wen Zhang , Yiming Zhang , Yongzhuo Zhang , Lixiang Zhang , Guming Zhao , Peng Zhao , Xianhe Zhao , Xintao Zhao , Youwei Zhao , Zhong Zhao , Luyuan Zheng , Fei Zhou , Liang Zhou , Na Zhou , Naibin Zhou , Shifeng Zhou , Shuang Zhou , Zhengxiao Zhou , Chengjun Zhu , Qingling Zhu , Guihong Zou , Haonan Zou , Qiang Zhang , Chao-Yang Lu , Cheng-Zhi Peng , XiaoBo Zhu , Jian-Wei Pan

Quantum computing (QC) offers a new computing paradigm that has the potential to provide significant speedups over classical computing. Each additional qubit doubles the size of the computational state space available to a quantum…

Quantum Physics · Physics 2022-05-13 Wei Tang , Margaret Martonosi

Two different algorithms are presented for generating a quantum circuit realization of a matrix representing a permutation on $2^n$ letters. All circuits involve $n$ qubits and only use multi--controlled Toffoli gates. The first algorithm…

Quantum Physics · Physics 2025-12-16 Jason Hanson

The development of a universal fault-tolerant quantum computer that can solve efficiently various difficult computational problems is an outstanding challenge for science and technology. In this work, we propose a technique for an efficient…

Quantum Physics · Physics 2024-07-02 Anastasiia S. Nikolaeva , Evgeniy O. Kiktenko , Aleksey K. Fedorov

Quantum circuits which perform integer arithmetic could potentially outperform their classical counterparts. In this paper, a quantum circuit is considered which performs a specific computational pattern on classically represented integers…

Quantum Physics · Physics 2013-04-16 Christopher M. Maynard , Einar Pius

Quantum arithmetic computation requires a substantial number of scratch qubits to stay reversible. These operations necessitate qubit and gate resources equivalent to those needed for the larger of the input or output registers due to state…

Quantum Physics · Physics 2025-07-21 Omid Faizy , Norbert Wehn , Paul Lukowicz , Maximilian Kiefer-Emmanouilidis