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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

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…

量子物理 · 物理学 2026-01-08 Han-Ze Li , Yi-Rui Zhang , Yu-Jun Zhao , Xuyang Huang , Jian-Xin Zhong

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…

量子物理 · 物理学 2026-05-25 András Grabarits , Adolfo del Campo

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

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

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…

量子物理 · 物理学 2025-10-21 Cătălin Paşcu Moca , Doru Sticlet , Balázs Dóra

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

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…

量子物理 · 物理学 2025-11-27 Mircea Bejan , Pieter W. Claeys , Jiangtian Yao

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

We investigate the generation of non-stabilizerness, or magic, in a multi-particle quantum walk by analyzing the time evolution of the stabilizer R\'enyi entropy $M_2$. Our study considers both single- and two-particle quantum walks in the…

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…

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…

We introduce entropic measures to quantify non-classical resource in hybrid spin-boson systems. We discuss the stabilizer R\'enyi entropy in the framework of phase space quantisation and define an analogous hybrid magic entropy and a mutual…

强关联电子 · 物理学 2025-08-11 Samuel Crew , Ying-Lin Li , Heng-Hsi Li , Po-Yao Chang

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…

量子物理 · 物理学 2026-05-19 Edoardo Zavatti , Gabriele Bellomia , Massimo Capone

Entanglement between different regions in momentum space is studied for ground states of some spin-chain Hamiltonians: the XY model, the Ising model in a transverse field (ITF) and the XXZ models. In the XY and ITF cases, entanglement only…

量子物理 · 物理学 2016-06-01 Miguel Ibáñez-Berganza , Javier Rodríguez-Laguna , Germán Sierra

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…

量子物理 · 物理学 2022-03-15 Lorenzo Leone , Salvatore F. E. Oliviero , Alioscia Hamma

Non-stabilizerness or magic resource characterizes the amount of non-Clifford operations needed to prepare quantum states. It is a crucial resource for quantum computing and a necessary condition for quantum advantage. However, quantifying…

量子物理 · 物理学 2023-01-31 Tobias Haug , M. S. Kim

As perhaps the most studied paradigm for a quantum phase transition, the periodic quantum Ising chain is exactly solvable via the Jordan-Wigner transformation followed by a Fourier transform that diagonalizes the model in the momentum space…

量子物理 · 物理学 2020-04-15 Ning Wu

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…

Perturbation theories provide valuable insights on quantum many-body systems. Systems of interacting particles, like electrons, are often treated perturbatively around exactly solvable Gaussian points. Systems of interacting qubits have…

量子物理 · 物理学 2025-09-17 Xuzhe Ying , Kangle Li , Hoi Chun Po
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