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Related papers: Stabilizer Testing and Magic Entropy via Quantum F…

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Recent years have seen an increasing body of work examining how quantum entanglement can be measured at high energy particle physics experiments, thereby complementing traditional table-top experiments. This raises the question of whether…

High Energy Physics - Phenomenology · Physics 2024-06-13 Chris D. White , Martin J. White

We investigate the dynamics of nonstabilizerness - also known as `magic' - in monitored quantum circuits composed of random Clifford unitaries and local projective measurements. For measurements in the computational basis, we derive an…

Quantum Physics · Physics 2026-04-14 Annarita Scocco , Wai-Keong Mok , Leandro Aolita , Mario Collura , Tobias Haug

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,…

Quantum Physics · Physics 2024-05-31 Andi Gu , Lorenzo Leone , Soumik Ghosh , Jens Eisert , Susanne Yelin , Yihui Quek

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

Quantum simulation is a cornerstone application of quantum computing, yet how fundamental quantum resources--entanglement and non-stabilizerness (``magic")--shape simulation fidelity remains an open question. In this work, we establish a…

Quantum Physics · Physics 2026-04-16 Xiangran Zhang , Jue Xu , Qi Zhao , You Zhou

This is a short review on an interdisciplinary field of quantum information science and statistical mechanics. We first give a pedagogical introduction to the stabilizer formalism, which is an efficient way to describe an important class of…

Quantum Physics · Physics 2013-11-12 Keisuke Fujii

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

Quantum fidelity estimation is essential for benchmarking quantum states and processes on noisy quantum devices. While stabilizer operations form the foundation of fault-tolerant quantum computing, non-stabilizer resources further enable…

Quantum Physics · Physics 2025-06-17 Zhiping Liu , Kun Wang , Xin Wang

Quantum magic, or nonstabilizerness, provides a crucial characterization of quantum systems, regarding the classical simulability with stabilizer states. In this work, we propose a novel and efficient algorithm for computing stabilizer…

Quantum Physics · Physics 2025-02-25 Zejun Liu , Bryan K. Clark

We develop classical simulation algorithms for adaptive quantum circuits that produce states with low levels of ``magic'' (i.e., non-stabilizerness). These algorithms are particularly well-suited to circuits with high rates of Pauli…

Quantum Physics · Physics 2026-05-22 Kemal Aziz , Haining Pan , Michael J. Gullans , J. H. Pixley

We propose a method for classical simulation of finite-dimensional quantum systems, based on sampling from a quasiprobability distribution, i.e., a generalized Wigner function. Our construction applies to all finite dimensions, with the…

Quantum Physics · Physics 2020-03-10 Robert Raussendorf , Juani Bermejo-Vega , Emily Tyhurst , Cihan Okay , Michael Zurel

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

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

Entanglement is the key feature of many-body quantum systems, and the development of new tools to probe it in the laboratory is an outstanding challenge. Measuring the entropy of different partitions of a quantum system provides a way to…

The ubiquity of stabilizer circuits in the design and operation of quantum computers makes techniques to verify their correctness essential. The simulation of stabilizer circuits, which aims to replicate their behavior using a classical…

Quantum Physics · Physics 2023-09-19 Vadym Kliuchnikov , Michael Beverland , Adam Paetznick

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…

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…

Quantum Physics · Physics 2022-05-16 Zi-Wen Liu , Andreas Winter

Magic state distillation (MSD) is a purification protocol that plays a central role in fault tolerant quantum computation. Repeated iteration of the steps of a MSD protocol, generates pure single non-stabilizer states, or magic states, from…

Quantum Physics · Physics 2012-06-11 Hussain Anwar , Earl T. Campbell , Dan E. Browne

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 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…

Strongly Correlated Electrons · Physics 2025-08-11 Samuel Crew , Ying-Lin Li , Heng-Hsi Li , Po-Yao Chang