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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…

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…

量子物理 · 物理学 2025-10-23 Poetri Sonya Tarabunga , Emanuele Tirrito

We present a new approach for witnessing quantum resources, such as entanglement and coherence, based on heat generation. Inspired by Maxwell's demon, we ask what the optimal heat exchange between a quantum system and a thermal environment…

量子物理 · 物理学 2025-02-05 A. de Oliveira Junior , Jonatan Bohr Brask , Patryk Lipka-Bartosik

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…

量子物理 · 物理学 2026-04-16 Tobias Haug , Poetri Sonya Tarabunga

Notions of nonstabilizerness, or "magic", quantify how non-classical quantum states are in a precise sense: states exhibiting low nonstabilizerness preclude quantum advantage. We introduce 'pseudomagic' ensembles of quantum states that,…

量子物理 · 物理学 2024-05-31 Andi Gu , Lorenzo Leone , Soumik Ghosh , Jens Eisert , Susanne Yelin , Yihui Quek

We demonstrate that the presence of entanglement in macroscopic bodies (e.g. solids) in thermodynamical equilibrium could be revealed by measuring heat-capacity. The idea is that if the system were in a separable state, then for certain…

量子物理 · 物理学 2008-08-14 Marcin Wiesniak , Vlatko Vedral , Caslav Brukner

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…

量子物理 · 物理学 2025-03-06 Qiaofeng Liu , Ian Low , Zhewei Yin

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…

量子物理 · 物理学 2024-05-22 Junjie Chen , Yuxuan Yan , You Zhou

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…

量子物理 · 物理学 2026-02-24 J. M. Varela , L. L. Keller , A. de Oliveira Junior , D. A. Moreira , R. Chaves , R. A. Macêdo

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 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…

量子物理 · 物理学 2024-11-26 Gerald E. Fux , Emanuele Tirrito , Marcello Dalmonte , Rosario Fazio

In most stabilizer-based quantum computing schemes, so-called magic states are a necessary resource for implementing non-transversal quantum gates. With the resource theory of magic, it is possible to analyze and quantify the generation of…

量子物理 · 物理学 2026-05-22 Carolin Deckers , Justus Neumann , Hermann Kampermann , Dagmar Bruß

Non-stabilizerness is an essential resource for quantum computational advantage, as stabilizer states admit efficient classical simulation. We develop a semi-device-independent framework for certifying non-stabilizer states in…

Finding ways to quantify magic is an important problem in quantum information theory. Recently Leone, Oliviero and Hamma introduced a class of magic measures for qubits, the stabilizer entropies of order $\alpha$, to aid in studying…

量子物理 · 物理学 2024-12-31 Gianluca Cuffaro , Christopher A. Fuchs

Magic states are the resource that allows quantum computers to attain an advantage over classical computers. This resource consists in the deviation from a property called stabilizerness which in turn implies that stabilizer circuits can be…

量子物理 · 物理学 2022-12-26 Salvatore F. E. Oliviero , Lorenzo Leone , Alioscia Hamma , Seth Lloyd

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…

量子物理 · 物理学 2025-10-01 Hyukjoon Kwon

Quantum Fourier analysis is an important topic in mathematical physics. We introduce a systematic protocol for testing and measuring ``magic'' in quantum states and gates, using a quantum Fourier approach. Magic, as a quantum resource, is…

量子物理 · 物理学 2025-09-03 Kaifeng Bu , Weichen Gu , Arthur Jaffe

Magic (non-stabilizerness) is a necessary but "expensive" kind of "fuel" to drive universal fault-tolerant quantum computation. To properly study and characterize the origin of quantum "complexity" in computation as well as physics, it is…

量子物理 · 物理学 2022-05-16 Zi-Wen Liu , Andreas Winter

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…

量子物理 · 物理学 2022-10-25 Salvatore F. E. Oliviero , Lorenzo Leone , Alioscia Hamma

In the realm of fault-tolerant quantum computing, stabilizer operations play a pivotal role, characterized by their remarkable efficiency in classical simulation. This efficiency sets them apart from non-stabilizer operations within the…

量子物理 · 物理学 2024-07-30 Chengkai Zhu , Zhiping Liu , Chenghong Zhu , Xin Wang
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