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Scrambling is a process by which the state of a quantum system is effectively randomized due to the global entanglement that "hides" initially localized quantum information. In this work, we lay the mathematical foundations of studying…

Quantum Physics · Physics 2018-07-10 Zi-Wen Liu , Seth Lloyd , Elton Yechao Zhu , Huangjun Zhu

We calculate in detail the Renyi entanglement entropies of cTPQ states as a function of subsystem volume, filling the details of our prior work [Nature Communications 9, 1635 (2018)], where the formulas were first presented. Working in a…

Statistical Mechanics · Physics 2019-01-30 Hiroyuki Fujita , Yuya O. Nakagawa , Sho Sugiura , Masataka Watanabe

The dynamics of quantum many-body systems in the chaotic regime are of particular interest due to the associated phenomena of information scrambling and entanglement generation within the system. While these systems are typically…

Quantum networks are natural scenarios for the communication of information among distributed parties, and the arena of promising schemes for distributed quantum computation. Measurement-based quantum computing is a prominent example of how…

Quantum Physics · Physics 2017-12-14 Mario Arnolfo Ciampini , Paolo Mataloni , Mauro Paternostro

Quantum computers are emerging technologies expected to become important tools for exploring various aspects of fundamental physics in the future. Therefore, we pose the question of whether quantum computers can help us to study the Page…

Quantum Physics · Physics 2025-09-19 Talal Ahmed Chowdhury , Kwangmin Yu , Muhammad Asaduzzaman , Raza Sabbir Sufian

The geometric measure of entanglement of variational quantum states is studied on the basis of its relation with the mean value of spin. We examine n-qubit quantum states prepared by a variational circuit with a layer formed by the…

Quantum Physics · Physics 2023-01-11 Kh. P. Gnatenko

In the article, we investigate entanglement dynamics defined by time-dependent linear generators. We consider multilevel quantum systems coupled to an environment that induces decoherence and dissipation, such that the relaxation rates…

Quantum Physics · Physics 2022-10-27 Artur Czerwinski

Entanglement and entropy are key concepts standing at the foundations of quantum and statistical mechanics, respectively. In the last decade the study of quantum quenches revealed that these two concepts are intricately intertwined.…

Strongly Correlated Electrons · Physics 2017-08-21 Vincenzo Alba , Pasquale Calabrese

We study the time evolution of entanglement in a quantum version of the Kac ring. Our model consists of two spin chains and quantum gates instead of the classical markers. The gates take one qubit from each ring at a time as an input and…

Statistical Mechanics · Physics 2014-12-15 Johannes M. Oberreuter , Ingo Homrighausen , Stefan Kehrein

The intensely studied measurement-induced entanglement phase transition has become a hallmark of non-unitary quantum many-body dynamics. Usually, such a transition only shows up at the level of each individual quantum trajectory, and is…

Statistical Mechanics · Physics 2023-07-26 Vikram Ravindranath , Yiqiu Han , Zhi-Cheng Yang , Xiao Chen

The evolution of entanglement entropy in quantum circuits composed of Haar-random gates and projective measurements shows versatile behavior, with connections to phase transitions and complexity theory. We reformulate the problem in terms…

Disordered Systems and Neural Networks · Physics 2020-04-16 Oles Shtanko , Yaroslav A. Kharkov , Luis Pedro García-Pintos , Alexey V. Gorshkov

A typical working condition in the study of quantum quenches is that the initial state produces a distribution of quasiparticle excitations with an opposite-momentum-pair structure. In this work we investigate the dynamical and stationary…

Statistical Mechanics · Physics 2018-07-05 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

The entanglement entropy of black holes is expected to follow the Page curve. After an initial linear increase with time the entanglement entropy should reach a maximum at the Page time and then decrease. This paper introduces an exactly…

Quantum Physics · Physics 2024-06-19 Stefan Kehrein

Measurement-induced entanglement phase transitions, caused by the competition between entangling unitary dynamics and disentangling projective measurements, have been studied in various random circuit models in recent years. In this paper,…

Quantum Physics · Physics 2022-02-02 Xuyang Yu , Xiao-Liang Qi

We address a fundamental issue in quantum mechanics and quantum information theory, the generation of an entangled pair of qubits that interact solely through a third, semiclassical degree of freedom, in the framework of cavity quantum…

Quantum Physics · Physics 2015-05-28 Amir Leshem , Omri Gat

When subject to a non-local unitary evolution, qubits in a quantum circuit become increasingly entangled. Conversely, measurements applied to individual qubits lead to their disentanglement from the collective system. The extent of…

Quantum Physics · Physics 2025-01-22 Sourav Manna , Vaibhav Madhok , Arul Lakshminarayan

Entanglement is one of the physical properties of quantum systems responsible for the computational hardness of simulating quantum systems. But while the runtime of specific algorithms, notably tensor network algorithms, explicitly depends…

In a 1+1 dimensional QFT on a circle, we consider the von Neumann entanglement entropy of an interval for typical pure states. As a function of the interval size, we expect a Page curve in the entropy. We employ a specific ensemble average…

High Energy Physics - Theory · Physics 2022-01-05 Erez Y. Urbach

Entanglement is a defining feature of many-body quantum systems and is an essential requirement for quantum computing. It is therefore useful to study physical processes which generate entanglement within a large system, as they maybe…

Quantum Physics · Physics 2025-05-16 Gaurav Rudra Malik , Rohit Kumar Shukla , S. Aravinda , Sunil Kumar Mishra

We design a series of quantum circuits that generate absolute maximally entangled (AME) states to benchmark a quantum computer. A relation between graph states and AME states can be exploited to optimize the structure of the circuits and…

Quantum Physics · Physics 2019-09-02 Alba Cervera-Lierta , José Ignacio Latorre , Dardo Goyeneche