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Related papers: Magic in generalized Rokhsar-Kivelson wavefunction…

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We employ the Stabilizer Renyi Entropy (SRE) to characterize a quantum phase transition that has so far eluded any standard description and can thus now be explained in terms of the interplay between its non-stabilizer properties and…

Quantum Physics · Physics 2025-11-12 A. G. Catalano , J. Odavić , G. Torre , A. Hamma , F. Franchini , S. M. Giampaolo

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…

Quantum Physics · Physics 2024-05-22 Junjie Chen , Yuxuan Yan , You Zhou

Magic refers to the degree of "quantumness" in a system that cannot be fully described by stabilizer states and Clifford operations alone. In quantum computing, stabilizer states and Clifford operations can be efficiently simulated on a…

Quantum Physics · Physics 2024-10-29 Yuzhen Zhang , Yingfei Gu

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…

Quantum Physics · Physics 2024-11-26 Gerald E. Fux , Emanuele Tirrito , Marcello Dalmonte , Rosario Fazio

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…

Quantum Physics · Physics 2025-08-06 Lei-Yi-Nan Liu , Su Yi , Jian Cui

Magic is a property of quantum states that enables universal fault-tolerant quantum computing using simple sets of gate operations. Understanding the mechanisms by which magic is created or destroyed is, therefore, a crucial step towards…

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…

Quantum Physics · Physics 2026-04-15 Lennart Bittel , Lorenzo Leone

We investigate magic and its connection to entanglement in 1+1 dimensional random free fermion circuits, with a focus on hybrid free fermion dynamics that can exhibit an entanglement phase transition. To quantify magic, we use the…

Quantum Physics · Physics 2025-07-16 Cheng Wang , Zhi-Cheng Yang , Tianci Zhou , Xiao Chen

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…

Quantum Physics · Physics 2026-01-28 Alessandro Sinibaldi , Antonio Francesco Mello , Mario Collura , Giuseppe Carleo

Magic, also known as nonstabilizerness, quantifies the distance of a quantum state to the set of stabilizer states, and it serves as a necessary resource for potential quantum advantage over classical computing. In this work, we study magic…

Quantum Physics · Physics 2025-10-23 Poetri Sonya Tarabunga , Emanuele Tirrito

Quantum Hamiltonians that are fine-tuned to their so-called Rokhsar-Kivelson (RK) points, first presented in the context of quantum dimer models, are defined by their representations in preferred bases in which their ground state wave…

Strongly Correlated Electrons · Physics 2007-11-30 Claudio Castelnovo , Claudio Chamon , Christopher Mudry , Pierre Pujol

Magic or non-stabilizerness is a resource for quantum computing that has been extensively studied in qudit networks. It describes the degree to which Clifford gates cannot generate a given state, capturing the advantage of quantum over…

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…

Quantum Physics · Physics 2025-03-06 Qiaofeng Liu , Ian Low , Zhewei Yin

Quantum entanglement and quantum magic are two distinct fundamental resources that enable quantum systems to exhibit complex phenomena beyond the capabilities of classical computer simulations. While quantum entanglement has been…

Quantum Physics · Physics 2026-02-10 Pengfei Zhang , Shuyan Zhou , Ning Sun

Magic is a quantum resource essential for universal quantum computation and represents the deviation of quantum states from those that can be simulated efficiently using classical algorithms. Using the Stabilizer R\'enyi Entropy (SRE), we…

Quantum Physics · Physics 2026-01-14 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…

Quantum Physics · Physics 2026-01-23 Tanausú Hernández-Yanes , Piotr Sierant , Jakub Zakrzewski , Marcin Płodzień

We investigate the structure of quantum magic in interacting disordered fermionic systems, quantifying non-stabilizerness via the fermionic stabilizer R\'enyi entropy (SRE). To resolve the distribution of magic across different scales, we…

High Energy Physics - Theory · Physics 2026-01-07 Vinay Malvimat , Matthieu Sarkis , Yena Suk , Junggi Yoon

Ground states of quantum many-body systems are both entangled and possess a kind of quantum complexity as their preparation requires universal resources that go beyond the Clifford group and stabilizer states. These resources - sometimes…

Quantum Physics · Physics 2022-10-25 Salvatore F. E. Oliviero , Lorenzo Leone , Alioscia Hamma

We give a new algorithm for computing the robustness of magic - a measure of the utility of quantum states as a computational resource. Our work is motivated by the magic state model of fault-tolerant quantum computation. In this model, all…

Quantum Physics · Physics 2019-04-09 Markus Heinrich , David Gross

Magic, or nonstabilizerness, characterizes how far away a state is from the stabilizer states, making it an important resource in quantum computing, under the formalism of the Gotteman-Knill theorem. In this paper, we study the magic of the…

Quantum Physics · Physics 2024-05-17 Liyuan Chen , Roy J. Garcia , Kaifeng Bu , Arthur Jaffe
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