Article
Optics
Stefanie J. Beale, Joel J. Wallman
Summary: This paper presents methods for incorporating noisy measurement operations into simulations of quantum error-correcting codes, studying measurement errors on readout qubits, and reducing the computational complexity of calculating the exact effective logical noise. These methods can be used to reduce the size of a lookup table and better approximate soft decoding schemes.
Article
Quantum Science & Technology
Cibele Cristina Trinca, J. Carmelo Interlando, Reginaldo Palazzo Jr, Antonio Aparecido de Andrade, Ricardo Augusto Watanabe
Summary: This work presents a procedure for constructing toric quantum error-correcting codes. A new class of infinite family of toric quantum codes is provided by constructing cyclic codes on square lattices. The proposed quantum interleaving technique using the constructed toric quantum codes shows better code rate and coding gain compared to Kitaev's toric quantum codes and Bombin and Martin-Delgado's toric quantum codes.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Quantum Science & Technology
Hanwei Xiao, Xiaoguang Chen
Summary: This paper proposes a framework of quantum convolutional codes that can handle continuous errors, by concatenating GKP code and utilizing the output information of the decoding circuit through multiple iterations to further reduce errors.
QUANTUM INFORMATION PROCESSING
(2022)
Article
Physics, Multidisciplinary
Gabriele Cenedese, Giuliano Benenti, Maria Bondani
Summary: Characterizing and mitigating errors in current noisy intermediate-scale devices is crucial for enhancing the performance of future quantum hardware. Through full quantum process tomography of single qubits in an actual quantum processor with echo experiments, we investigated the significance of various noise mechanisms in quantum computation. Our results unveiled the dominant role of coherent errors and demonstrated the practical correction of such errors by introducing random single-qubit unitaries in the quantum circuit, leading to a notable increase in the reliability of quantum computations on real quantum hardware.
Article
Optics
Muhammad Ahsan, Syed Abbas Zilqurnain Naqvi, Haider Anwer
Summary: This study presents a method for tracing coherent errors and correcting them to reduce errors in quantum circuits, with experimental results on IBM quantum computers showing a reduction in error rates.
Article
Physics, Multidisciplinary
Youwei Zhao, Yangsen Ye, He-Liang Huang, Yiming Zhang, Dachao Wu, Huijie Guan, Qingling Zhu, Zuolin Wei, Tan He, Sirui Cao, Fusheng Chen, Tung-Hsun Chung, Hui Deng, Daojin Fan, Ming Gong, Cheng Guo, Shaojun Guo, Lianchen Han, Na Li, Shaowei Li, Yuan Li, Futian Liang, Jin Lin, Haoran Qian, Hao Rong, Hong Su, Lihua Sun, Shiyu Wang, Yulin Wu, Yu Xu, Chong Ying, Jiale Yu, Chen Zha, Kaili Zhang, Yong-Heng Huo, Chao-Yang Lu, Cheng-Zhi Peng, Xiaobo Zhu, Jian-Wei Pan
Summary: This article describes an experimental implementation of an error-correcting surface code on a superconducting quantum processor. By executing multiple consecutive error correction cycles, logical errors were significantly reduced, providing a key step towards scalable fault-tolerant quantum computing.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Ming Gong, Xiao Yuan, Shiyu Wang, Yulin Wu, Youwei Zhao, Chen Zha, Shaowei Li, Zhen Zhang, Qi Zhao, Yunchao Liu, Futian Liang, Jin Lin, Yu Xu, Hui Deng, Hao Rong, He Lu, Simon C. Benjamin, Cheng-Zhi Peng, Xiongfeng Ma, Yu-Ao Chen, Xiaobo Zhu, Jian-Wei Pan
Summary: The study successfully demonstrated the experimental realization of the [5, 1, 3] code, verifying key aspects such as error identification and correction, logical operations, and state decoding.
NATIONAL SCIENCE REVIEW
(2022)
Article
Quantum Science & Technology
Brahim Boudine, Jamal Laaouine, Mohammed Elhassani Charkani
Summary: This paper examines the dual codes and Hamming distances of negacyclic codes of length p(s) over Fp(m) + uFp(m) with u(2) = 0. It introduces new quantum codes derived from these negacyclic codes, which are neither self-dual nor dual-containing codes.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Physics, Multidisciplinary
Ji-Hao Fan, Jun Li, Han-Wu Chen, Wen-Jie Liu
Summary: In this work, new families of asymmetric quantum concatenated codes (AQCCs) are constructed to deal with biased quantum noise towards dephasing. The construction is based on a novel concatenation scheme utilizing classical tensor product codes and concatenated codes to correct phase flip noise and bit flip noise. The AQCCs designed in this paper show much better parameter performance compared to existing ones, and the specific encoding circuit of the AQCCs allows for more efficient encoding than standard quantum codes.
Article
Quantum Science & Technology
Jonghyun Lee, Jooyoun Park, Jun Heo
Summary: The surface code has been identified as a promising candidate for quantum error correcting codes due to its high threshold and simplicity in gate operations. Adjusting the lattice size of surface codes was found to enhance the logical failure rate, particularly for noise models dominated by dephasing errors. Different methods were employed for logical error rate estimation based on varying levels of physical error rates.
QUANTUM INFORMATION PROCESSING
(2021)
Article
Quantum Science & Technology
Younghun Kim, Jeongsoo Kang, Younghun Kwon
Summary: Surface code is a method of error correction that can be used for a functioning quantum computer. Transmon-based quantum computers, which are a promising candidate for practical use, have errors that occur predominantly as Z type errors. Tailored surface and XZZX codes have been developed to address these errors. This study presents a method for implementing tailored surface code and XZZX code on the specific heavy-hexagon structure of transmon-based quantum computers. The results show improved thresholds for the tailored surface code and XZZX code compared to the regular surface code, even in the absence of bias.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Quantum Science & Technology
J. Lacalle, L. M. Pozo-Coronado, A. L. Fonseca de Oliveira
Summary: In this work, we demonstrate that quantum error correcting codes cannot fix isotropic errors, even without introducing new errors; for isotropic errors, if the correction circuit detects an error, the corrected logical m-qubit has uniform distribution and loses all computing information.
QUANTUM INFORMATION PROCESSING
(2021)
Article
Quantum Science & Technology
Kai Lin Ong
Summary: The algebraic structures of classical codes can extract their properties and be viewed as ideals of group algebras. It has been proven that this method is efficient when the code generators are idempotents. In quantum error correction, self-orthogonal additive codes over GF(4) are required for the stabilizer formalism, which can be seen as F2-submodules over GF(4) through group algebras. This paper classifies idempotents in the commutative group algebra GF(4)G, and provides a criterion for idempotents to generate stabilizer subgroups. Furthermore, it constructs quantum stabilizer codes for cyclic group Cn (n = 2(m) - 1 and n = 2(m) + 1) and determines the quantum bounds on their burst error minimum distance.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Physics, Multidisciplinary
Zhuo Li, Lijuan Xing
Summary: The universal framework for quantum error-correcting codes presented in this study is based on group algebra, providing a way to characterize the properties of quantum codes and generate new results. By utilizing the properties of the group algebra, this framework allows for a comprehensive understanding of quantum codes.
Article
Mathematics
Qiang Zhao, Haokun Mao, Yucheng Qiao, Ahmed A. Abd El-Latif, Qiong Li
Summary: In this paper, a remote quantum error correction code preparation protocol using a cluster state is introduced for blind quantum computation (BQC). The blindness of the protocol in the measurement-based quantum computation model is analyzed. Compared to previous methods, our protocol requires fewer quantum resources as it only requires weak coherent pulses, eliminating the need for quantum memory and limited quantum computing. Theoretical analysis and simulations demonstrate that our protocol requires fewer quantum resources compared to non-coding methods with the same qubit error rate.
Article
Physics, Particles & Fields
Isaac H. Kim, Eugene Tang, John Preskill
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Multidisciplinary
Victor V. Albert, Jacob P. Covey, John Preskill
Article
Physics, Multidisciplinary
Hsin-Yuan Huang, Richard Kueng, John Preskill
Summary: The study compares the performance of classical and quantum machine learning models in predicting outcomes of physical experiments, finding that quantum ML models can have exponential advantage in certain cases. While classical ML models can provide accurate average predictions by accessing epsilon a comparable number of times, quantum ML models show the potential for achieving accurate predictions on all inputs.
PHYSICAL REVIEW LETTERS
(2021)
Article
Multidisciplinary Sciences
Hsin-Yuan Huang, Michael Broughton, Jordan Cotler, Sitan Chen, Jerry Li, Masoud Mohseni, Hartmut Neven, Ryan Babbush, Richard Kueng, John Preskill, Jarrod R. McClean
Summary: Quantum technology, particularly quantum machine learning, offers substantial advantages over conventional methods in terms of efficiency and effectiveness. By conducting experiments with quantum processors, we have demonstrated the exponential advantage of quantum machines in predicting physical properties, performing quantum principal component analysis, and learning about physical dynamics. The resources required for achieving this advantage are also relatively modest in some cases.
Article
Multidisciplinary Sciences
Hsin-Yuan Huang, Richard Kueng, Giacomo Torlai, Victor V. Albert, John Preskill
Summary: This study proves that classical machine learning algorithms can efficiently predict the ground-state properties of gapped Hamiltonians in the same quantum phase of matter. It also shows that classical ML algorithms can effectively classify various quantum phases.
Article
Quantum Science & Technology
Fernando G. S. L. Brandao, Wissam Chemissany, Nicholas Hunter-Jones, Richard Kueng, John Preskill
Summary: The concept of quantum complexity has significant implications in various fields, but deriving lower bounds on quantum complexity for specific unitaries or states remains challenging. By studying generic models of complexity growth and connecting complexity growth with unitary k-designs, researchers can draw conclusions about the growth of complexity in quantum systems. Local random quantum circuits are shown to generate unitary transformations with linear complexity growth, supporting previous conjectures and emphasizing the importance of optimal distinguishing measurements in defining quantum complexity.
Article
Physics, Multidisciplinary
Andreas Elben, Richard Kueng, Hsin-Yuan (Robert) Huang, Rick van Bijnen, Christian Kokail, Marcello Dalmonte, Pasquale Calabrese, Barbara Kraus, John Preskill, Peter Zoller, Benoit Vermersch
PHYSICAL REVIEW LETTERS
(2020)