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Related papers: Certifying nonstabilizerness in quantum processors

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We investigate how noise impacts nonstabilizerness - a key resource for quantum advantage - in many-body qubit systems. While noise typically degrades quantum resources, we show that amplitude damping, a nonunital channel, can generate or…

Quantum Physics · Physics 2026-04-14 Fabian Ballar Trigueros , José Antonio Marín Guzmán

Magic is a non-classical resource whose efficient manipulation is fundamental to advancing efficient and scalable fault-tolerant quantum computing. Quantum advantage is possible only if both magic and entanglement are present. Of particular…

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

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

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…

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

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

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

In the seminal paper [Metger and Vidick, Quantum '21], they proposed a computational self-testing protocol for Bell states in a single quantum device. Their protocol relies on the fact that the target states are stabilizer states, and hence…

Quantum Physics · Physics 2022-09-20 Akihiro Mizutani , Yuki Takeuchi , Ryo Hiromasa , Yusuke Aikawa , Seiichiro Tani

Universal quantum computing requires nonstabilizer (magic) quantum states. Quantifying the nonstabilizerness and relating it to other quantum resources is vital for characterizing the complexity of quantum many-body systems. In this work,…

Quantum Physics · Physics 2023-10-18 Xhek Turkeshi , Marco Schirò , Piotr Sierant

Nonstabilizerness, also known as magic, quantifies the number of non-Clifford operations needed in order to prepare a quantum state. As typical measures either involve minimization procedures or a computational cost exponential in the…

Quantum Physics · Physics 2023-01-31 Tobias Haug , Lorenzo Piroli

We introduce a novel measure for the quantum property of nonstabilizerness - commonly known as "magic" - by considering the R\'enyi entropy of the probability distribution associated to a pure quantum state given by the square of the…

Quantum Physics · Physics 2022-03-15 Lorenzo Leone , Salvatore F. E. Oliviero , Alioscia Hamma

Variational techniques have long been at the heart of atomic, solid-state, and many-body physics. They have recently extended to quantum and classical machine learning, providing a basis for representing quantum states via neural networks.…

Quantum Physics · Physics 2025-04-10 Thomas Spriggs , Arash Ahmadi , Bokai Chen , Eliska Greplova

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 property of non-stabiliserness, or ``magic'', is of interest in quantum computing due to its role in developing fault-tolerant quantum algorithms with genuine computational advantage over classical counterparts. There has been much…

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

Non-stabilizerness, or magic, is a resource for universal quantum computation in most fault-tolerant architectures; access to states with non-stabilizerness allows for non-classically simulable quantum computation to be performed.…

Quantum Physics · Physics 2026-04-21 Benjamin Stratton

Nonstabilizerness, or quantum magic, presents a valuable resource in quantum error correction and computation. We study the dynamics of locally injected magic in unitary Clifford circuits, where the total magic is conserved. However, the…

Quantum Physics · Physics 2025-11-27 Mircea Bejan , Pieter W. Claeys , Jiangtian Yao

Magic, or nonstabilizerness, is a crucial quantum resource, yet its dynamics in open quantum systems remain largely unexplored. We investigate magic in the open XXZ spin chain under either boundary gain and loss, or bulk dephasing using the…

Quantum Physics · Physics 2025-12-02 Doru Sticlet , Balázs Dóra , Dominik Szombathy , Gergely Zaránd , Cătălin Paşcu Moca

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