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Magic-state resource theory is a fundamental framework with far-reaching applications in quantum error correction and the classical simulation of quantum systems. Recent advances have significantly deepened our understanding of magic as a…

量子物理 · 物理学 2026-04-15 Lennart Bittel , Lorenzo Leone

Disorder-free quantum many-body localization can strongly suppress transport while still enabling the dynamical buildup of computationally costly non-Clifford resources. In a tilted transverse-field Ising chain realizing disorder-free Stark…

量子物理 · 物理学 2026-01-08 Han-Ze Li , Yi-Rui Zhang , Yu-Jun Zhao , Xuyang Huang , Jian-Xin Zhong

Stabilizer entropies and quantum magic have been extensively explored in real-space formulations of quantum systems within the framework of resource theory. However, interesting and transparent physics often emerges in momentum space, such…

量子物理 · 物理学 2025-10-06 Balázs Dóra , Cătălin Paşcu Moca

Magic describes the distance of a quantum state to its closest stabilizer state. It is -- like entanglement -- a necessary resource for a potential quantum advantage over classical computing. We study magic, quantified by stabilizer…

量子物理 · 物理学 2024-11-26 Gerald E. Fux , Emanuele Tirrito , Marcello Dalmonte , Rosario Fazio

Quantum many-body systems have been extensively studied from the perspective of quantum technology, and conversely, critical phenomena in such systems have been characterized by operationally relevant resources like entanglement. In this…

量子物理 · 物理学 2020-08-27 Saubhik Sarkar , Chiranjib Mukhopadhyay , Abolfazl Bayat

Quantum advantage is widely understood to rely on key quantum resources beyond entanglement, among which nonstabilizerness (quantum ``magic'') plays a central role in enabling universal quantum computation. However, the exact evaluation of…

量子物理 · 物理学 2026-03-26 Xuyang Huang , Han-Ze Li , Ching Hua Lee , Jian-Xin Zhong

In most stabilizer-based quantum computing schemes, so-called magic states are a necessary resource for implementing non-transversal quantum gates. With the resource theory of magic, it is possible to analyze and quantify the generation of…

量子物理 · 物理学 2026-05-22 Carolin Deckers , Justus Neumann , Hermann Kampermann , Dagmar Bruß

We study a non-stabilizerness resource theory for operators, which is dual to that describing states. We identify that the stabilizer R\'enyi entropy analog in operator space is a good magic monotone satisfying the usual conditions while…

量子物理 · 物理学 2025-08-26 Neil Dowling , Pavel Kos , Xhek Turkeshi

Magic, or nonstabilizerness, characterizes the deviation of a quantum state from the set of stabilizer states and plays a fundamental role from quantum state complexity to universal fault-tolerant quantum computing. However, analytical or…

量子物理 · 物理学 2024-05-22 Junjie Chen , Yuxuan Yan , You Zhou

We introduce entropic measures to quantify non-classical resource in hybrid spin-boson systems. We discuss the stabilizer R\'enyi entropy in the framework of phase space quantisation and define an analogous hybrid magic entropy and a mutual…

强关联电子 · 物理学 2025-08-11 Samuel Crew , Ying-Lin Li , Heng-Hsi Li , Po-Yao Chang

Nonstabilizerness or `magic' is a crucial resource for quantum computers which can be distilled from noisy quantum states. However, determining the magic of mixed quantum has been a notoriously difficult task. Here, we provide efficient…

量子物理 · 物理学 2026-04-16 Tobias Haug , Poetri Sonya Tarabunga

Nonstabilizerness, also known as ``magic'', quantifies the deviation of quantum states from stabilizer states, capturing the complexity necessary for quantum computational advantage. In this study, we investigate the dynamics of…

量子物理 · 物理学 2025-12-12 Pedro R. Nicácio Falcão , Piotr Sierant , Jakub Zakrzewski , Emanuele Tirrito

Stabilizer R\'enyi entropies (SREs) probe the non-stabilizerness (or magic) of many-body systems and quantum computers. Here, we introduce the mutual von-Neumann SRE and magic capacity, which can be efficiently computed in time $O(N\chi^3)$…

量子物理 · 物理学 2025-10-08 Poetri Sonya Tarabunga , Tobias Haug

Nonstabilizerness, or magic, is a necessary resource for quantum advantage beyond the classically simulatable Clifford framework. Recent works have begun to chart the structure of magic in many-body states, introducing the concepts of…

量子物理 · 物理学 2026-04-01 Zhi Li

Magic, capturing the deviation of a quantum state from the stabilizer formalism, is a key resource underpinning the quantum advantage. The recently introduced stabilizer R\'enyi entropy (SRE) offers a tractable measure of magic, avoiding…

量子物理 · 物理学 2025-08-06 Lei-Yi-Nan Liu , Su Yi , Jian Cui

Magic quantum states (non-stabilizer states) play a pivotal role in fault-tolerant quantum computation. Simultaneously, random resources have emerged as a key element in various randomized techniques within contemporary quantum science. In…

量子物理 · 物理学 2025-07-17 Christopher Vairogs , Bin Yan

Magic is a property of a quantum state that characterizes its deviation from a stabilizer state, serving as a useful resource for achieving universal quantum computation e.g., within schemes that use Clifford operations. In this work, we…

量子物理 · 物理学 2024-05-15 Poetri Sonya Tarabunga , Claudio Castelnovo

We demonstrate the use of variational neural network quantum states to study non-stabilizerness in qubit-regularised quantum field theory. Applying the methodology recently introduced by Sinibaldi et al., we numerically compute the…

高能物理 - 理论 · 物理学 2025-08-14 Samuel Crew , Hsueh Hao Lu

We introduce a novel measure for the quantum property of nonstabilizerness - commonly known as "magic" - by considering the R\'enyi entropy of the probability distribution associated to a pure quantum state given by the square of the…

量子物理 · 物理学 2022-03-15 Lorenzo Leone , Salvatore F. E. Oliviero , Alioscia Hamma

We advance the characterization of complexity in quantum many-body systems by examining $W$-states embedded in a spin chain. Such states show an amount of non-stabilizerness or "magic" (measured as the Stabilizer R\'enyi Entropy -SRE-) that…

量子物理 · 物理学 2026-01-30 J. Odavić , T. Haug , G. Torre , A. Hamma , F. Franchini , S. M. Giampaolo
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