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Entanglement and magic are fundamental resources that capture the complexity of quantum many-body systems. Non-local magic isolates the irreducible nonstabilizerness intrinsically tied to entanglement. However, evaluating this quantity…

量子物理 · 物理学 2026-05-01 Daniele Iannotti , Beatrice Magni , Riccardo Cioli , Alioscia Hamma , Xhek Turkeshi

The advent of quantum technologies brought forward much attention to the theoretical characterization of the computational resources they provide. A method to quantify quantum resources is to use a class of functions called magic monotones…

量子物理 · 物理学 2024-02-14 Arash Ahmadi , Eliska Greplova

Non-stabilizerness - also colloquially referred to as magic - is the a resource for advantage in quantum computing and lies in the access to non-Clifford operations. Developing a comprehensive understanding of how non-stabilizerness can be…

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, is a crucial resource for quantum computation. The growth in complexity of quantum processing units (QPUs) demands robust and scalable techniques for characterizing this resource. We introduce the…

We introduce a methodology to estimate non-stabilizerness or "magic", a key resource for quantum complexity, with Neural Quantum States (NQS). Our framework relies on two schemes based on Monte Carlo sampling to quantify non-stabilizerness…

量子物理 · 物理学 2026-01-28 Alessandro Sinibaldi , Antonio Francesco Mello , Mario Collura , Giuseppe Carleo

Nonlocal magic quantifies the irreducible nonstabilizerness of a bipartite quantum state after optimizing over local basis changes. We study nonlocal magic for pure fermionic Gaussian states, and derive a simple closed-form entanglement…

量子物理 · 物理学 2026-05-01 Mario Collura , Benjamin Béri , Emanuele Tirrito

Non-stabilizerness or magic resource characterizes the amount of non-Clifford operations needed to prepare quantum states. It is a crucial resource for quantum computing and a necessary condition for quantum advantage. However, quantifying…

量子物理 · 物理学 2023-01-31 Tobias Haug , M. S. Kim

We investigate the dynamics of nonstabilizerness - also known as `magic' - in monitored quantum circuits composed of random Clifford unitaries and local projective measurements. For measurements in the computational basis, we derive an…

量子物理 · 物理学 2026-04-14 Annarita Scocco , Wai-Keong Mok , Leandro Aolita , Mario Collura , Tobias Haug

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

Quantum state discrimination plays a central role in defining the possible and impossible operations through a restricted class of quantum operations. A seminal result by Bennett et al. [Phys. Rev. A 59, 1070 (1999)] demonstrates the…

量子物理 · 物理学 2025-10-01 Hyukjoon Kwon

Non-stabilizerness, or magic, is a fundamental resource for quantum computation, enabling quantum algorithms to surpass classical capabilities. Despite its importance, characterizing magic remains challenging due to the intricate geometry…

量子物理 · 物理学 2025-03-25 Rafael A. Macedo , Patrick Andriolo , Santiago Zamora , Davide Poderini , Rafael Chaves

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

Quantifying non-stabilizerness (``magic'') in interacting fermionic systems remains a formidable challenge, particularly for extracting high order correlations from quantum Monte Carlo simulations. In this Letter, we establish the two-point…

强关联电子 · 物理学 2026-01-29 Jun Qi Fang , Fo-Hong Wang , Xiao Yan Xu

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

In quantum computing, non-stabilizerness -- the magic -- refers to the computational advantage of certain quantum states over classical computers and is an essential ingredient for universal quantum computation. Employing the second order…

量子物理 · 物理学 2025-03-06 Qiaofeng Liu , Ian Low , Zhewei Yin

Non-stabilizerness (colloquially "magic") characterizes genuinely quantum (beyond-Clifford) operations necessary for preparation of quantum states, and can be measured by stabilizer R\'enyi entropy (SRE). For permutationally symmetric…

量子物理 · 物理学 2026-01-23 Tanausú Hernández-Yanes , Piotr Sierant , Jakub Zakrzewski , Marcin Płodzień

We investigate non-stabilizerness, also known as ``magic,'' to understand criticality and exceptional points in non-Hermitian quantum many-body systems. Our focus is on parity-time ($\mathcal{PT}$) symmetric spin chains, specifically the…

量子物理 · 物理学 2025-10-21 Cătălin Paşcu Moca , Doru Sticlet , Balázs Dóra

Non-stabilizerness is a key resource for fault-tolerant quantum computation, yet its interplay with entanglement in dynamical settings remains underexplored. We address this by analyzing a well-controlled, analytically tractable setup,…

量子物理 · 物理学 2025-09-25 Zong-Yue Hou , ChunJun Cao , Zhi-Cheng Yang

Quantum magic, or nonstabilizerness, provides a crucial characterization of quantum systems, regarding the classical simulability with stabilizer states. In this work, we propose a novel and efficient algorithm for computing stabilizer…

量子物理 · 物理学 2025-02-25 Zejun Liu , Bryan K. Clark
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