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To achieve the practical applications of near-term noisy quantum devices, low-cost ways to mitigate the noise damages in the devices are essential. In many applications, the noiseless state we want to prepare is often a pure state, which…

Quantum Physics · Physics 2021-07-16 Zhenyu Cai

Quantum state purification is the functionality that, given multiple copies of an unknown state, outputs a state with increased purity. This will be an essential building block for near- and middle-term quantum ecosystems before the…

Quantum Physics · Physics 2024-06-14 Bo Yang , Elham Kashefi , Dominik Leichtle , Harold Ollivier

Error mitigation has enabled quantum computing applications with over one hundred qubits and deep circuits. The most general error mitigation methods rely on a faithful characterization of the noise channels of the hardware. However,…

Quantum state purification is crucial in quantum communication and computation, aiming to recover a purified state from multiple copies of an unknown noisy state. This work introduces a general state purification framework designed to…

Quantum Physics · Physics 2024-09-27 Hongshun Yao , Yu-Ao Chen , Erdong Huang , Kaichu Chen , Honghao Fu , Xin Wang

Quantum metrology stands as a leading application of quantum science and technology, yet noise often constrains its precision and sensitivity. In near-term quantum metrology, existing protocols largely depend on virtual state purification,…

Quantum Physics · Physics 2025-12-03 Xiaodie Lin , Haidong Yuan

Quantum state purification is the task of recovering a nearly pure copy of an unknown pure quantum state using multiple noisy copies of the state. This basic task has applications to quantum communication over noisy channels and quantum…

Quantum Physics · Physics 2025-01-22 Andrew M. Childs , Honghao Fu , Debbie Leung , Zhi Li , Maris Ozols , Vedang Vyas

We propose a single auxiliary-assisted purification-based framework for quantum error correction, capable of correcting errors that drive a system from its ground-state subspace into excited-state sectors. The protocol consists of a joint…

Quantum Physics · Physics 2025-12-11 Chandrima B. Pushpan , Tanoy Kanti Konar , Aditi Sen De , Amit Kumar Pal

An important measure of the development of quantum computing platforms has been the simulation of increasingly complex physical systems. Prior to fault-tolerant quantum computing, robust error mitigation strategies are necessary to continue…

Quantum Physics · Physics 2023-11-07 T. E. O'Brien , G. Anselmetti , F. Gkritsis , V. E. Elfving , S. Polla , W. J. Huggins , O. Oumarou , K. Kechedzhi , D. Abanin , R. Acharya , I. Aleiner , R. Allen , T. I. Andersen , K. Anderson , M. Ansmann , F. Arute , K. Arya , A. Asfaw , J. Atalaya , D. Bacon , J. C. Bardin , A. Bengtsson , S. Boixo , G. Bortoli , A. Bourassa , J. Bovaird , L. Brill , M. Broughton , B. Buckley , D. A. Buell , T. Burger , B. Burkett , N. Bushnell , J. Campero , Y. Chen , Z. Chen , B. Chiaro , D. Chik , J. Cogan , R. Collins , P. Conner , W. Courtney , A. L. Crook , B. Curtin , D. M. Debroy , S. Demura , I. Drozdov , A. Dunsworth , C. Erickson , L. Faoro , E. Farhi , R. Fatemi , V. S. Ferreira , L. Flores Burgos , E. Forati , A. G. Fowler , B. Foxen , W. Giang , C. Gidney , D. Gilboa , M. Giustina , R. Gosula , A. Grajales Dau , J. A. Gross , S. Habegger , M. C. Hamilton , M. Hansen , M. P. Harrigan , S. D. Harrington , P. Heu , J. Hilton , M. R. Hoffmann , S. Hong , T. Huang , A. Huff , L. B. Ioffe , S. V. Isakov , J. Iveland , E. Jeffrey , Z. Jiang , C. Jones , P. Juhas , D. Kafri , J. Kelly , T. Khattar , M. Khezri , M. Kieferová , S. Kim , P. V. Klimov , A. R. Klots , R. Kothari , A. N. Korotkov , F. Kostritsa , J. M. Kreikebaum , D. Landhuis , P. Laptev , K. Lau , L. Laws , J. Lee , K. Lee , B. J. Lester , A. T. Lill , W. Liu , W. P. Livingston , A. Locharla , E. Lucero , F. D. Malone , S. Mandra , O. Martin , S. Martin , J. R. McClean , T. McCourt , M. McEwen , A. Megrant , X. Mi , A. Mieszala , K. C. Miao , M. Mohseni , S. Montazeri , A. Morvan , R. Movassagh , W. Mruczkiewicz , O. Naaman , M. Neeley , C. Neill , A. Nersisyan , H. Neven , M. Newman , J. H. Ng , A. Nguyen , M. Nguyen , M. Y. Niu , S. Omonije , A. Opremcak , A. Petukhov , R. Potter , L. P. Pryadko , C. Quintana , C. Rocque , P. Roushan , N. Saei , D. Sank , K. Sankaragomathi , K. J. Satzinger , H. F. Schurkus , C. Schuster , M. J. Shearn , A. Shorter , N. Shutty , V. Shvarts , J. Skruzny , V. Smelyanskiy , W. C. Smith , R. Somma , G. Sterling , D. Strain , M. Szalay , D. Thor , A. Torres , G. Vidal , B. Villalonga , C. Vollgraff Heidweiller , T. White , B. W. K. Woo , C. Xing , Z. J. Yao , P. Yeh , J. Yoo , G. Young , A. Zalcman , Y. Zhang , N. Zhu , N. Zobrist , C. Gogolin , R. Babbush , N. C. Rubin

Quantum state purification, which operates not by identifying and correcting specific errors but by repeatedly projecting multiple noisy copies onto special subspaces, provides a syndrome-free alternative to quantum error correction.…

Quantum Physics · Physics 2026-04-17 Xing-Chen Guo , Benchi Zhao , Xin Wang

Contemporary quantum computers have relatively high levels of noise, making it difficult to use them to perform useful calculations, even with a large number of qubits. Quantum error correction is expected to eventually enable…

Noise poses a fundamental challenge to quantum information processing, with amplitude-damping (AD) noise being particularly detrimental. Preserving high-fidelity quantum systems therefore relies critically on effective error correction and…

Quantum Physics · Physics 2025-09-09 Kai Wang , Zhen-Yang Peng

Quantum state purification, a process that aims to recover a state closer to a system's principal eigenstate from multiple copies of an unknown noisy quantum state, is crucial for restoring noisy states to a more useful form in quantum…

Quantum Physics · Physics 2025-09-25 Keming He , Chengkai Zhu , Hongshun Yao , Jinguo Liu , Yinan Li , Xin Wang

Current noisy quantum computers have multiple types of errors, which can occur in the state preparation, measurement/readout, and gate operation, as well as intrinsic decoherence and relaxation. Partly motivated by the booming of…

Quantum Physics · Physics 2025-05-07 Hongye Yu , Tzu-Chieh Wei

Quantum metrology with entangled resources aims to achieve sensitivity beyond the standard quantum limit by harnessing quantum effects even in the presence of environmental noise. So far, sensitivity has been mainly discussed from the…

Quantum Physics · Physics 2022-12-20 Kaoru Yamamoto , Suguru Endo , Hideaki Hakoshima , Yuichiro Matsuzaki , Yuuki Tokunaga

The precision and sensitivity achievable in quantum metrology are often compromised by the presence of noise. While quantum error correction has emerged as a promising strategy, it is ineffective in addressing noise that is…

Quantum Physics · Physics 2026-05-25 Xiaodie Lin , Linxuan Li , Haidong Yuan

We consider entanglement purification protocols for multiple copies of qubit states. We use high-dimensional auxiliary entangled systems to learn about number and positions of errors in the noisy ensemble in an explicit and controlled way,…

Quantum Physics · Physics 2021-07-28 Ferran Riera Sàbat , Pavel Sekatski , Alexander Pirker , Wolfgang Dür

State preparation that initializes quantum systems in a fiducial state and measurements to read outcomes after the evolution of quantum states, both essential elements in quantum information processing in general, may contain noise from…

Quantum Physics · Physics 2024-05-13 Jaemin Kim , Seungchan Seo , Jiyoung Yun , Joonwoo Bae

Quantum state purification protocols, which mitigate noise by converting multiple copies of noisy quantum states into fewer copies with a lower noise level, have applications in quantum communication and computation with imperfect devices.…

Quantum Physics · Physics 2026-03-10 Benchi Zhao , Yu-Ao Chen , Xuanqiang Zhao , Chengkai Zhu , Giulio Chiribella , Xin Wang

Practical implementation of quantum error correction is currently limited by near-term quantum hardware. In contrast, quantum error mitigation has demonstrated strong promise for improving the performance of noisy quantum circuits without…

Quantum Physics · Physics 2025-10-02 Dawei Zhong , William Munizzi , Huo Chen , Wibe Albert de Jong

Quantum technologies rely heavily on accurate control and reliable readout of quantum systems. Current experiments are limited by numerous sources of noise that can only be partially captured by simple analytical models and additional…

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