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A general framework is proposed to tackle analytically local quantum quenches in integrable impurity systems, combining a mapping onto a boundary problem with the form factor approach to boundary-condition-changing operators introduced in…

Strongly Correlated Electrons · Physics 2013-06-17 Romain Vasseur , Kien Trinh , Stephan Haas , Hubert Saleur

Entanglement is one of the most intriguing features of quantum mechanics. It describes non-local correlations between quantum objects, and is at the heart of quantum information sciences. Entanglement is rapidly gaining prominence in…

The von Neumann and quantum R\'enyi entropies characterize fundamental properties of quantum systems and lead to theoretical and practical applications in many fields. Quantum algorithms for estimating quantum entropies, using a quantum…

Quantum Physics · Physics 2023-10-13 Youle Wang , Benchi Zhao , Xin Wang

We compute R\'enyi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty…

Quantum Physics · Physics 2015-11-17 Alfredo Luis , Gustavo Martín Bosyk , Mariela Portesi

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…

Strongly Correlated Electrons · Physics 2014-11-11 David J. Luitz , Xavier Plat , Nicolas Laflorencie , Fabien Alet

We describe a method to perform any generalized purity-preserving measurement of a qubit with techniques tailored to superconducting systems. First, we consider two methods for realizing a two-outcome partial projection: using a thresholded…

Quantum Physics · Physics 2014-09-09 Justin Dressel , Todd A. Brun , Alexander N. Korotkov

We show how to measure the order-two Renyi entropy of many-body states of spinful fermionic atoms in an optical lattice in equilibrium and non-equilibrium situations. The proposed scheme relies on the possibility to produce and couple two…

Quantum Gases · Physics 2013-06-10 Hannes Pichler , Lars Bonnes , Andrew J. Daley , Andreas M. Läuchli , Peter Zoller

Quantum entanglement is one essential element to characterize many-body quantum systems. However, the entanglement measures are mostly discussed in Hermitian systems. Here, we propose a natural extension of entanglement and R\'enyi…

Strongly Correlated Electrons · Physics 2022-06-15 Yi-Ting Tu , Yu-Chin Tzeng , Po-Yao Chang

Entanglement entropy, which is a measure of quantum correlations between separate parts of a many-body system, has emerged recently as a fundamental quantity in broad areas of theoretical physics, from cosmology and field theory to…

Quantum Physics · Physics 2009-03-09 Israel Klich , Leonid Levitov

The R\'enyi and Shannon entropies are information-theoretic measures which have enabled to formulate the position-momentum uncertainty principle in a much more adequate and stringent way than the (variance-based) Heisenberg-like relation.…

Quantum Physics · Physics 2013-05-24 Pablo Sánchez-Moreno , Steeve Zozor , Jesus S. Dehesa

There is a remarkable interest in the study of Out-of-time ordered correlators (OTOCs) that goes from many body theory and high energy physics to quantum chaos. In this latter case there is a special focus on the comparison with the…

Quantum Physics · Physics 2019-10-30 Pablo D. Bergamasco , Gabriel G. Carlo , Alejandro M. F. Rivas

We investigate the uncertainty principle for two successive projective measurements in terms of R\'enyi entropy based on a single quantum system. Our results cover a large family of the entropy (including the Shannon entropy) uncertainty…

Quantum Physics · Physics 2015-04-14 Jun Zhang , Yang Zhang , Chang-shui Yu

It is desirable to relate entanglement of many-body systems to measurable observables. In systems with a conserved charge, it was recently shown that the number entanglement entropy (NEE) - i.e. the entropy change due to an unselective…

Mesoscale and Nanoscale Physics · Physics 2023-04-06 Cheolhee Han , Yigal Meir , Eran Sela

We conduct a numerical investigation of the dynamics of the central spin model in the presence of measurement processes. This model holds promise for experimental exploration due to its topology, which facilitates the natural distinction of…

Quantum Physics · Physics 2024-09-04 V. V. Belov , W. V. Pogosov

Dynamical quantum phase transitions reveal singularities in quench dynamics, characterized by the emergence of Loschmidt echo zeros at critical times, which usually exist only in the thermodynamic limit but are absent in finite-size quantum…

Quantum Physics · Physics 2026-01-07 Zhen-Yu Zheng , Xudong Liu , Siyan Lin , Yu Zhang , Shu Chen

Estimating nonlinear properties such as R\'enyi entropies and observable-weighted moments serves as a central strategy for spectrum spectroscopy, which is fundamental to property prediction and analysis in quantum information science,…

Quantum Physics · Physics 2025-09-30 Xiao Shi , Jiyu Jiang , Xian Wu , Jingu Xie , Hongshun Yao , Xin Wang

Quantum Renyi relative entropies provide a one-parameter family of distances between density matrices, which generalizes the relative entropy and the fidelity. We study these measures for renormalization group flows in quantum field theory.…

High Energy Physics - Theory · Physics 2018-10-17 Horacio Casini , Raimel Medina , Ignacio Salazar , Gonzalo Torroba

We study the transition of a quantum system $S $ from a pure state to a mixed one, which is induced by the quantum criticality of the surrounding system $E$ coupled to it. To characterize this transition quantitatively, we carefully examine…

Quantum Physics · Physics 2009-11-11 H. T. Quan , Z. Song , X. F. Liu , P. Zanardi , C. P. Sun

We propose an efficient protocol to estimate the fidelity of an $n$-qubit entangled measurement device, requiring only qubit state preparations and classical data post-processing. It works by measuring the eigenstates of Pauli operators,…

Quantum Physics · Physics 2023-12-22 Zanqiu Shen , Kun Wang

Previous measurements utilizing Maxwell relations to measure change in entropy, $S$, demonstrated remarkable accuracy of measuring the spin-1/2 entropy of electrons in a weakly coupled quantum dot. However, these previous measurements…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Tim Child , Owen Sheekey , Silvia Lüscher , Saeed Fallahi , Geoffrey C. Gardner , Michael Manfra , Joshua Folk