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How can one certify that an unknown quantum state possesses magic without resorting to full state tomography? We address this question by introducing two thermodynamic witnesses that rely solely on energy and heat measurements. First, we…

In this paper, we investigate the relationship between entanglement and non-stabilizerness (also known as magic) in matrix product states (MPSs). We study the relation between magic and the bond dimension used to approximate the ground…

Quantum Physics · Physics 2024-07-17 M. Frau , P. S. Tarabunga , M. Collura , M. Dalmonte , E. Tirrito

We introduce the notion of dismagicker: non-Clifford unitary gate designed to reduce the non-stabilizerness (also called magic) of quantum many-body states. Although both entanglement and non-stabilizerness are fundamental quantum…

Quantum Physics · Physics 2026-04-07 Jiale Huang , Rongyi Lv , Xiangjian Qian , Mingpu Qin

Consumption of magic states promotes the stabilizer model of computation to universal quantum computation. Here, we propose three different classical algorithms for simulating such universal quantum circuits, and characterize them by…

Quantum Physics · Physics 2021-03-23 James R. Seddon , Bartosz Regula , Hakop Pashayan , Yingkai Ouyang , Earl T. Campbell

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…

Quantum Physics · Physics 2026-04-16 Tobias Haug , Poetri Sonya Tarabunga

Quantum magic is a necessary resource for quantum computers to be not efficiently simulable by classical computers. Previous results have linked the amount of quantum magic, characterized by the number of $T$ gates or stabilizer rank, to…

Quantum Physics · Physics 2025-02-07 Yifan Zhang , Yuxuan Zhang

Identifying the boundary between classical and quantum computation is a central challenge in quantum information. In multi-qubit systems, entanglement and magic are the key resources underlying genuinely quantum behaviour. While…

Quantum Physics · Physics 2026-03-02 Lorenzo Leone , Jens Eisert , Salvatore F. E. Oliviero

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,…

Quantum Physics · Physics 2025-09-25 Zong-Yue Hou , ChunJun Cao , Zhi-Cheng Yang

We propose a method for classical simulation of finite-dimensional quantum systems, based on sampling from a quasiprobability distribution, i.e., a generalized Wigner function. Our construction applies to all finite dimensions, with the…

Quantum Physics · Physics 2020-03-10 Robert Raussendorf , Juani Bermejo-Vega , Emily Tyhurst , Cihan Okay , Michael Zurel

Recently, cat states have been used to heuristically improve the runtime of a classical simulator of quantum circuits based on the diagrammatic ZX-calculus. Here we investigate the use of cat-state injection within the quantum circuit…

Quantum Physics · Physics 2024-02-20 Filipa C. R. Peres , Rafael Wagner , Ernesto F. Galvão

Non-stabilizerness - commonly known as magic - measures the extent to which a quantum state deviates from stabilizer states and is a fundamental resource for achieving universal quantum computation. In this work, we investigate the behavior…

Quantum Physics · Physics 2024-07-24 Poetri Sonya Tarabunga

Nonstabilizerness, also known as ``magic'', stands as a crucial resource for achieving a potential advantage in quantum computing. Its connection to many-body physical phenomena is poorly understood at present, mostly due to a lack of…

Recent years have seen an increasing body of work examining how quantum entanglement can be measured at high energy particle physics experiments, thereby complementing traditional table-top experiments. This raises the question of whether…

High Energy Physics - Phenomenology · Physics 2024-06-13 Chris D. White , Martin J. White

We introduce Magic Secret Sharing (MSS), a quantum cryptographic primitive in which the secret is the computational capability of a quantum state rather than its classical description. In the resource theory of magic, non-stabilizer states…

Quantum Physics · Physics 2026-05-19 Soumyojyoti Dutta , Tushar

Entanglement serves as a foundational pillar in quantum information theory, delineating the boundary between what is classical and what is quantum. The common assumption is that higher entanglement corresponds to a greater degree of…

Quantum Physics · Physics 2026-05-18 Andi Gu , Salvatore F. E. Oliviero , Lorenzo Leone

Classically hard to simulate quantum states, or "magic states", are prerequisites to quantum advantage, highlighting an apparent separation between classically and quantumly tractable problems. Classically simulable states such as Clifford…

Quantum Physics · Physics 2025-01-13 Luke Coffman , Graeme Smith , Xun Gao

High-fidelity logical magic states are a critical resource for fault-tolerant quantum computation, enabling non-Clifford logical operations through state injection. However, benchmarking these states presents significant challenges: one…

Quantum Physics · Physics 2026-02-10 Su-un Lee , Ming Yuan , Senrui Chen , Kento Tsubouchi , Liang Jiang

As a necessary resource for quantum computational advantage, quantum magic (nonstabilizerness) is of fundamental importance in the study of quantum computation and physics. We develop a systematic theory of \emph{long-range magic (LRM)} --…

Quantum Physics · Physics 2026-02-27 Fuchuan Wei , Zi-Wen Liu

Entanglement and magic are among the most fundamental properties unique to quantum systems. Each quantity captures a different aspect of non-classical behavior, and each can be regarded as a resource within its own operational setting.…

Quantum Physics · Physics 2025-12-19 Mao Kaneyasu , Yoshihiko Hasegawa

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…

Quantum Physics · Physics 2025-10-06 Balázs Dóra , Cătălin Paşcu Moca