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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, 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…

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…

Quantum Physics · Physics 2024-02-14 Arash Ahmadi , Eliska Greplova

Nonstabilizerness, also known as magic, plays a central role in universal quantum computation. Hypergraph states are nonstabilizer generalizations of graph states and constitute a key class of quantum states in various areas of quantum…

Quantum Physics · Physics 2026-05-15 Daichi Kagamihara , Shunji Tsuchiya

Understanding universal aspects of many-body systems is one of the central themes in modern physics. Recently, the stabilizer R\'{e}nyi entropy (SRE) has emerged as a computationally tractable measure of nonstabilizerness, a crucial…

Quantum Physics · Physics 2026-04-03 Masahiro Hoshino , Masaki Oshikawa , Yuto Ashida

We introduce an efficient method to quantify nonstabilizerness in fermionic Gaussian states, overcoming the long-standing challenge posed by their extensive entanglement. Using a perfect sampling scheme based on an underlying determinantal…

Quantum Physics · Physics 2026-03-25 Mario Collura , Jacopo De Nardis , Vincenzo Alba , Guglielmo Lami

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…

Quantum Physics · Physics 2025-10-21 Cătălin Paşcu Moca , Doru Sticlet , Balázs Dóra

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…

Quantum Physics · Physics 2024-05-15 Poetri Sonya Tarabunga , Claudio Castelnovo

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

The nonstabilizerness of quantum states is a necessary resource for universal quantum computation, yet its characterization is notoriously demanding. Quantifying nonstabilizerness typically requires an exponential number of measurements and…

Quantum Physics · Physics 2026-02-24 J. M. Varela , L. L. Keller , A. de Oliveira Junior , D. A. Moreira , R. Chaves , R. A. Macêdo

Spin squeezing is a form of entanglement that can improve the stability of quantum sensors operating with multiple particles, by inducing inter-particle correlations that redistribute the quantum projection noise. Previous analyses of…

Quantum Physics · Physics 2018-10-16 Boris Braverman , Akio Kawasaki , Vladan Vuletic

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…

Quantum Physics · Physics 2026-03-26 Xuyang Huang , Han-Ze Li , Ching Hua Lee , Jian-Xin Zhong

We study the non-stabilizerness (quantum magic) content of the Hubbard dimer, an analytically solvable, yet completely non-trivial, model of strongly correlated fermions. We can access zero- and finite-temperature properties as well as the…

Quantum Physics · Physics 2026-05-19 Edoardo Zavatti , Gabriele Bellomia , Massimo Capone

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…

Quantum Physics · Physics 2026-01-30 J. Odavić , T. Haug , G. Torre , A. Hamma , F. Franchini , S. M. Giampaolo

We introduce a novel breakthrough approach to evaluate the nonstabilizerness of an $N$-qubits Matrix Product State (MPS) with bond dimension $\chi$. In particular, we consider the recently introduced Stabilizer R\'enyi Entropies (SREs). We…

Quantum Physics · Physics 2023-04-20 Guglielmo Lami , Mario Collura

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

Nonstabilizerness, or magic, constitutes a fundamental resource for quantum computation and a crucial ingredient for quantum advantage. Recent progress has substantially advanced the characterization of magic in many-body quantum systems,…

Quantum Physics · Physics 2026-04-02 Somnath Maity , Ryusuke Hamazaki

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

Quantum computing's promise lies in its intrinsic complexity, with entanglement initially heralded as its hallmark. However, the quest for quantum advantage extends beyond entanglement, encompassing the realm of nonstabilizer (magic)…

Quantum Physics · Physics 2024-03-05 Antonio Francesco Mello , Guglielmo Lami , Mario Collura

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…

Quantum Physics · Physics 2025-10-01 Hyukjoon Kwon