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Under unitary evolution, chaotic quantum systems initialized in simple states rapidly develop high complexity, precluding any efficient classical description. Quantum chaos is traditionally characterized by spectral properties of the…

量子物理 · 物理学 2026-01-21 Ning Sun , Pengfei Zhang

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…

量子物理 · 物理学 2025-08-26 Neil Dowling , Pavel Kos , Xhek Turkeshi

Entanglement is a fundamental aspect of quantum physics, both conceptually and for its many applications. Classifying an arbitrary multipartite state as entangled or separable -- a task referred to as the separability problem -- poses a…

The classical simulation of highly-entangling quantum dynamics is conjectured to be generically hard. Thus, recently discovered measurement-induced transitions between highly entangling and low-entanglement dynamics are phase transitions in…

量子物理 · 物理学 2024-08-16 Mircea Bejan , Campbell McLauchlan , Benjamin Béri

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…

量子物理 · 物理学 2026-04-16 Xiangran Zhang , Jue Xu , Qi Zhao , You Zhou

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…

量子物理 · 物理学 2024-05-15 Poetri Sonya Tarabunga , Claudio Castelnovo

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 play an important role in fault-tolerant quantum computation, and so the quantification of magic for quantum states is of great significance. In this work, we propose two new magic quantifiers by introducing two versions of…

量子物理 · 物理学 2026-04-09 Linmao Wang , Zhaoqi Wu

We give a new algorithm for computing the robustness of magic - a measure of the utility of quantum states as a computational resource. Our work is motivated by the magic state model of fault-tolerant quantum computation. In this model, all…

量子物理 · 物理学 2019-04-09 Markus Heinrich , David Gross

The presence of noise in quantum computers hinders their effective operation. Even though quantum error correction can theoretically remedy this problem, its practical realization is still a challenge. Testing and benchmarking noisy,…

量子物理 · 物理学 2023-02-15 Adrian Ortega , Orsolya Kálmán , Tamás Kiss

In this article, we investigate the problem of state reconstruction of four-level quantum systems. A realistic scenario is considered with measurement results distorted by random unitary operators. Two frames which define injective…

量子物理 · 物理学 2021-07-20 Artur Czerwinski

Quantum reservoir computing offers a promising approach to the utilization of complex quantum dynamics in machine learning. Statistical noise inevitably arises in real settings of quantum reservoir computing (QRC) due to the practical…

量子物理 · 物理学 2026-04-23 Youssef Kora , Christoph Simon

The interplay between non-stabilizerness and entanglement in random states is a very rich arena of study for the understanding of quantum advantage and complexity. In this work, we tackle the problem of such interplay in random pure quantum…

量子物理 · 物理学 2025-07-22 Daniele Iannotti , Gianluca Esposito , Lorenzo Campos Venuti , Alioscia Hamma

Randomized measurements constitute a simple measurement primitive that exploits the information encoded in the outcome statistics of samples of local quantum measurements defined through randomly selected bases. In this work we exploit the…

量子物理 · 物理学 2023-06-08 Sophia Ohnemus , Heinz-Peter Breuer , Andreas Ketterer

Entanglement is not only the most intriguing feature of quantum mechanics, but also a key resource in quantum information science. The entanglement content of random pure quantum states is almost maximal; such states find applications in…

量子物理 · 物理学 2009-04-04 Giuliano Benenti

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…

量子物理 · 物理学 2026-04-21 Zhenyu Xiao , Shinsei Ryu

Quantum memory systems are vital in quantum information processing for dependable storage and retrieval of quantum states. Inspired by classical reliability theories that synthesize reliable computing systems from unreliable components, we…

量子物理 · 物理学 2025-12-10 Anuj K. Nayak , Eric Chitambar , Lav R. Varshney

Nonstabilizerness, or magic, is a necessary resource for quantum advantage beyond the classically simulatable Clifford framework. Recent works have begun to chart the structure of magic in many-body states, introducing the concepts of…

量子物理 · 物理学 2026-04-01 Zhi Li

We address security of the quantum key distribution scheme based on the noisy modulation of coherent states and investigate how it is robust against noise in the modulation regardless of the particular technical implementation. As the…

量子物理 · 物理学 2010-03-02 Vladyslav C. Usenko , Radim Filip

Universal quantum computers require entanglement and non-stabilizerness, a resource known as \textit{quantum magic}. Here, we introduce a protocol that prepares magic steady states by leveraging non-Hermitian dynamics, which, contrary to…

量子物理 · 物理学 2026-05-07 Pablo Martinez-Azcona , Matthieu Sarkis , Alexandre Tkatchenko , Aurélia Chenu