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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

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…

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…

Quantum Physics · Physics 2025-08-26 Neil Dowling , Pavel Kos , Xhek Turkeshi

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…

Quantum Physics · Physics 2026-01-08 Han-Ze Li , Yi-Rui Zhang , Yu-Jun Zhao , Xuyang Huang , Jian-Xin Zhong

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

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…

Quantum Physics · Physics 2026-05-01 Daniele Iannotti , Beatrice Magni , Riccardo Cioli , Alioscia Hamma , Xhek Turkeshi

We investigate the relation between the scaling of block entropies and the efficient simulability by Matrix Product States (MPS), and clarify the connection both for von Neumann and Renyi entropies (see Table I). Most notably, even states…

Quantum Physics · Physics 2009-11-13 Norbert Schuch , Michael M. Wolf , Frank Verstraete , J. Ignacio Cirac

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…

Quantum Physics · Physics 2020-08-27 Saubhik Sarkar , Chiranjib Mukhopadhyay , Abolfazl Bayat

Quantum magic, or non-stabilizerness, is an important quantum resource that characterizes computational power beyond classically simulable Clifford operations and is therefore essential for achieving quantum advantage. While previous…

Quantum Physics · Physics 2026-05-25 András Grabarits , Adolfo del Campo

The development of a framework for quantifying "non-stabiliserness" of quantum operations is motivated by the magic state model of fault-tolerant quantum computation, and by the need to estimate classical simulation cost for noisy…

Quantum Physics · Physics 2019-08-05 James R. Seddon , Earl T. Campbell

A bottleneck for analyzing the interplay between magic and entanglement is the computation of these quantities in highly entangled quantum many-body magic states. Efficient extraction of entanglement can also inform our understanding of…

Quantum Physics · Physics 2025-10-09 ChunJun Cao , Gong Cheng , Tianci Zhou

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

Motivated by their necessity for most fault-tolerant quantum computation schemes, we formulate a resource theory for magic states. We first show that robustness of magic is a well-behaved magic monotone that operationally quantifies the…

Quantum Physics · Physics 2017-03-16 Mark Howard , Earl T. Campbell

Quantum magic, quantified by nonstabilizerness, measures departures from stabilizer structure and underlies potential quantum speedups. We introduce an efficient classical framework for computing stabilizer R\'enyi entropies and stabilizer…

Quantum Physics · Physics 2026-04-21 Zhenyu Xiao , Shinsei Ryu

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…

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

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 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

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-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