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Entanglement measures such as the entanglement entropy have become an indispensable tool to identify the fundamental character of ground states of interacting quantum many-body systems. For systems of interacting spin or bosonic degrees of…

强关联电子 · 物理学 2014-08-27 Peter Broecker , Simon Trebst

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 present a method for improving measurements of the entanglement R\'enyi entropies in quantum Monte Carlo simulations by relating them with measurements of participation R\'enyi entropies. Exploiting the capability of building improved…

强关联电子 · 物理学 2014-11-11 David J. Luitz , Xavier Plat , Nicolas Laflorencie , Fabien Alet

We investigate the effectiveness of the stabilizer R\'enyi entropy (SRE), a quantifier associated with non-stabilizer resources (quantum magic), as an indicator of quantum phase transitions. Specifically, we analyze the behavior of the…

量子物理 · 物理学 2026-05-19 Santanu Sarkar , George Biswas , Jun-Yi Wu , Anindya Biswas

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…

量子物理 · 物理学 2023-01-31 Tobias Haug , Lorenzo Piroli

Nonstabilizerness, also known as magic, plays a central role in universal quantum computation. Hypergraph states are nonstabilizer generalizations of graph states and constitute a key class of quantum states in various areas of quantum…

量子物理 · 物理学 2026-05-15 Daichi Kagamihara , Shunji Tsuchiya

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

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

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)…

量子物理 · 物理学 2024-03-05 Antonio Francesco Mello , Guglielmo Lami , Mario Collura

A ground state path integral quantum Monte Carlo algorithm is introduced that allows for the study of entanglement in lattice bosons at zero temperature. The R\'enyi entanglement entropy between spatial subregions is explored across the…

量子气体 · 物理学 2023-03-29 Emanuel Casiano-Diaz , C. M. Herdman , Adrian Del Maestro

We demonstrate the use of variational neural network quantum states to study non-stabilizerness in qubit-regularised quantum field theory. Applying the methodology recently introduced by Sinibaldi et al., we numerically compute the…

高能物理 - 理论 · 物理学 2025-08-14 Samuel Crew , Hsueh Hao Lu

Efficient and accurate algorithm for partition function, free energy and thermal entropy calculations is of great significance in statistical physics and quantum many-body physics. Here we present an unbiased but low-technical-barrier…

统计力学 · 物理学 2024-11-19 Yi-Ming Ding , Jun-Song Sun , Nvsen Ma , Gaopei Pan , Chen Cheng , Zheng Yan

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

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

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

A highly efficient and simple to implement Monte Carlo algorithm is proposed for the evaluation of the Renyi entanglement entropy(REE) of quantum dimer model(QDM) at the Rokhsar-Kivelson(R-K) point. It makes possible the evaluation of REE…

强关联电子 · 物理学 2021-08-06 Jiquan Pei , Qiang Han , Haijun Liao , Tao Li

We develop a quantum Monte Carlo procedure, in the valence bond basis, to measure the Renyi entanglement entropy of a many-body ground state as the expectation value of a unitary {\it Swap} operator acting on two copies of the system. An…

强关联电子 · 物理学 2012-01-18 Matthew B. Hastings , Ivan Gonzalez , Ann B. Kallin , Roger G. Melko

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

Despite being a well-established operational approach to quantify entanglement, R\'enyi entropy calculations have been plagued by their computational complexity. We introduce here a theoretical framework based on an optimal thermodynamic…

统计力学 · 物理学 2022-07-14 Miha Srdinšek , Michele Casula , Rodolphe Vuilleumier

The development of a framework for quantifying "non-stabiliserness" of quantum operations is motivated by the magic state model of fault-tolerant quantum computation, and by the need to estimate classical simulation cost for noisy…

量子物理 · 物理学 2019-08-05 James R. Seddon , Earl T. Campbell