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Quantum universality can be achieved using classically controlled stabilizer operations and repeated preparation of certain ancilla states. Which ancilla states suffice for universality? This "magic states distillation" question is closely…

Quantum Physics · Physics 2010-03-22 Ben W. Reichardt

Quantum Entanglement is a fundamentally important resource in Quantum Information Science; however, generating it in practice is plagued by noise and decoherence, limiting its utility. Entanglement distillation and forward error correction…

Quantum Physics · Physics 2023-07-14 Vaishnavi L. Addala , Shu Ge , Stefan Krastanov

Recent advancements in text-to-3D generation improve the visual quality of Score Distillation Sampling (SDS) and its variants by directly connecting Consistency Distillation (CD) to score distillation. However, due to the imbalance between…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Jiahao Zhu , Zixuan Chen , Guangcong Wang , Xiaohua Xie , Yi Zhou

Solid-state spin qubits are a promising platform for quantum computation and quantum networks. Recent experiments have demonstrated high-quality control over multi-qubit systems, elementary quantum algorithms and non-fault-tolerant error…

For universal quantum computation, a major challenge to overcome for practical implementation is the large amount of resources required for fault-tolerant quantum information processing. An important aspect is implementing arbitrary unitary…

Quantum Physics · Physics 2021-02-17 Gary J. Mooney , Charles D. Hill , Lloyd C. L. Hollenberg

Motivated by their necessity for most fault-tolerant quantum computation schemes, we formulate a resource theory for magic states. We first show that robustness of magic is a well-behaved magic monotone that operationally quantifies the…

Quantum Physics · Physics 2017-03-16 Mark Howard , Earl T. Campbell

Despite the success of Deep Learning (DL), the deployment of modern DL models requiring large computational power poses a significant problem for resource-constrained systems. This necessitates building compact networks that reduce…

Machine Learning · Computer Science 2020-06-24 Akshay Kulkarni , Navid Panchi , Sharath Chandra Raparthy , Shital Chiddarwar

A promising approach to achieving scalable fault-tolerant quantum computation is the use of quantum error correction (QEC) codes augmented with magic states i.e. resource states produced via distillation, cultivation, or $R_z$ synthesis and…

Quantum Physics · Physics 2026-05-11 Aditi Awasthi , Sayam Sethi , Sahil Khan , Gokul Subramanian Ravi , Jonathan Mark Baker

A quantum computer can solve hard problems - such as prime factoring, database searching, and quantum simulation - at the cost of needing to protect fragile quantum states from error. Quantum error correction provides this protection, by…

Quantum error correction (QEC) is indispensable for realizing fault-tolerant quantum computation, yet its effectiveness hinges critically on the classical decoding algorithm that interprets noisy syndrome measurements. Among all possible…

Quantum Physics · Physics 2026-05-19 Hanyan Cao , Ge Yan , Yuxuan Du , Feng Pan

Magic state cultivation is a state-of-the-art protocol to prepare ultra-high fidelity non-Clifford resource states for universal quantum computation. It offers a significant reduction in spacetime overhead compared to traditional magic…

Quantum Physics · Physics 2026-03-25 Kaavya Sahay , Pei-Kai Tsai , Kathleen Chang , Qile Su , Thomas B. Smith , Shraddha Singh , Shruti Puri

Machine learning force field (MLFF) has emerged as a powerful data-driven tool for atomistic simulations, enabling large-scale and complex atomic systems to be simulated with accuracy comparable to \textit{ab initio} methods. However, MLFFs…

Chemical Physics · Physics 2026-04-06 Ruiyang Chen , Qingyuan Zhang , Ji Chen

Verification of quantum computations is crucial as experiments advance toward fault-tolerant quantum computing. Yet, no efficient protocol exists for certifying states generated in the Magic-State Injection model -- the foundation of…

Quantum Physics · Physics 2025-11-11 Sami Abdul Sater , Maxime Garnier , Thierry Martinez , Harold Ollivier , Ulysse Chabaud

Quantum computers can be protected from noise by encoding the logical quantum information redundantly into multiple qubits using error correcting codes. When manipulating the logical quantum states, it is imperative that errors caused by…

A non-Clifford gate is required for universal quantum computation, and, typically, this is the most error-prone and resource intensive logical operation on an error-correcting code. Small, single-qubit rotations are popular choices for this…

Quantum Physics · Physics 2017-10-05 Ryuji Takagi , Theodore J. Yoder , Isaac L. Chuang

Magic states are key ingredients in schemes to realize universal fault-tolerant quantum computation. Theories of magic states attempt to quantify this computational element via monotones and determine how these states may be efficiently…

Quantum Physics · Physics 2022-04-28 Nikolaos Koukoulekidis , David Jennings

Quantum coherence, which quantifies the superposition properties of a quantum state, plays an indispensable role in quantum resource theory. A recent theoretical work [Phys. Rev. Lett. \textbf{116}, 070402 (2016)] studied the manipulation…

Quantum Physics · Physics 2017-10-02 Kang-Da Wu , Zhibo Hou , Han-Sen Zhong , Yuan Yuan , Guo-Yong Xiang , Chuan-Feng Li , Guang-Can Guo

We investigate how non-stabilizer resources enable the emergence of quantum state designs within the projected ensemble. Starting from initial states with finite magic and applying resource-free Clifford circuits to scramble them, we…

Quantum Physics · Physics 2026-01-21 Hugo Lóio , Guglielmo Lami , Lorenzo Leone , Max McGinley , Xhek Turkeshi , Jacopo De Nardis

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

A fundamental problem of fault-tolerant quantum computation with quantum low-density parity-check (qLDPC) codes is the tradeoff between connectivity and universality. It is widely believed that in order to perform native logical…

Quantum Physics · Physics 2026-01-13 Guanyu Zhu , Ryohei Kobayashi , Po-Shen Hsin