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The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

Rapidly growing capabilities of quantum simulators to probe quantum many-body phenomena require new methods to characterize increasingly complex states. We present a protocol that constrains quantum states by experimentally measured…

量子物理 · 物理学 2025-09-22 Henry Froland , Torsten V. Zache , Robert Ott , Niklas Mueller

The scaling of entanglement with subsystem size encodes key information about phases and criticality, but the von Neumann entropy is costly to access in experiments and simulations, often requiring full state tomography. The second R\'enyi…

强关联电子 · 物理学 2026-01-09 Hatem Barghathi , Adrian Del Maestro

Non Gaussian states and processes are useful resources in quantum information with continuous variables. An experimentally accessible criterion has been proposed to measure the degree of non Gaussianity of quantum states, based on the…

Quantum entanglement plays essential roles in quantum information processing. The monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems. We present a class of monogamy inequalities related…

量子物理 · 物理学 2020-06-17 Meng-Li Guo , Bo-Li , Zhi-Xi Wang , Shao-Ming Fei

Bipartite entanglement entropies, calculated from the reduced density matrix of a subsystem, provide a description of the resources available within a system for performing quantum information processing. However, these quantities are not…

量子物理 · 物理学 2014-02-06 Robert N. C. Pfeifer

Identification, and subsequent quantification of quantum correlations, is critical for understanding, controlling, and engineering quantum devices and processes. We derive and implement a general method to quantify various forms of quantum…

量子物理 · 物理学 2023-02-09 Artur Barasinski , Jan Perina , Antonin Cernoch

Coincidence probabilities, which yield Renyi entropies, are investigated in a generalized Gaussian model, which includes interparticle correlations

高能物理 - 唯象学 · 物理学 2007-05-23 A. Bialas , K. Zalewski

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the…

介观与纳米尺度物理 · 物理学 2015-05-13 Karyn Le Hur

Efficiently certifying non-Gaussian entanglement in continuous-variable quantum systems is a central challenge for advancing quantum information processing, photonic quantum computing, and metrology. Here, we put forward continuous-variable…

量子物理 · 物理学 2025-04-23 Serge Deside , Tobias Haas , Nicolas J. Cerf

We derive fundamental constraints for the Schur complement of positive matrices, which provide an operator strengthening to recently established information inequalities for quantum covariance matrices, including strong subadditivity. This…

量子物理 · 物理学 2016-11-28 Ludovico Lami , Christoph Hirche , Gerardo Adesso , Andreas Winter

Quantum many-body systems display an extraordinary degree of complexity, yet many of their features are universal: they depend not on microscopic details, but on a few fundamental physical aspects such as symmetries. A central challenge is…

量子物理 · 物理学 2026-02-02 Jia-Nan Yang , Lata Kh Joshi , Filiberto Ares , Yihang Han , Pengfei Zhang , Pasquale Calabrese

We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simulated by an amount of classical communication equal to the quantum mutual information of the measurement, if sufficient shared randomness is…

量子物理 · 物理学 2014-11-25 Mario Berta , Joseph M. Renes , Mark M. Wilde

Quantum correlations are at the core of the power of quantum information and are necessary to reach a quantum computational advantage. In the context of continuous-variable quantum systems, another necessary ressource for quantum advantages…

量子物理 · 物理学 2024-07-26 Carlos E. Lopetegui , Mathieu Isoard , Nicolas Treps , Mattia Walschaers

We define correlational (von Neumann) entropy for an individual quantum state of a system whose time-independent hamiltonian contains random parameters and is treated as a member of a statistical ensemble. This entropy is representation…

chao-dyn · 物理学 2013-01-16 Valentin V. Sokolov , B. Alex Brown , Vladimir Zelevinsky

We present a quantum information theory that allows for the consistent description of quantum entanglement. It parallels classical (Shannon) information theory but is based entirely on density matrices, rather than probability…

量子物理 · 物理学 2007-05-23 Nicolas J. Cerf , Chris Adami

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…

量子物理 · 物理学 2009-03-09 Israel Klich , Leonid Levitov

In a recent article T. Grover [Phys. Rev. Lett. 111, 130402 (2013)] introduced a simple method to compute Renyi entanglement entropies in the realm of the auxiliary field quantum Monte Carlo algorithm. Here, we further develop this approach…

强关联电子 · 物理学 2014-03-26 Fakher F. Assaad , Thomas C. Lang , Francesco Parisen Toldin

We demonstrate that Shannon's information entropy and the thermodynamic entropy of Boltzmann and Gibbs are quantitatively equivalent for real condensed-matter systems. By interpreting atomic configurations as information sources, we compute…

统计力学 · 物理学 2025-12-03 Dallin Fisher , Qi-Jun Hong

We investigate the universal inequalities relating the alpha-Renyi entropies of the marginals of a multi-partite quantum state. This is in analogy to the same question for the Shannon and von Neumann entropy (alpha=1) which are known to…

量子物理 · 物理学 2013-12-24 Noah Linden , Milán Mosonyi , Andreas Winter