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It was recently noted that the entanglement entropy for a subsystem of a chaotic eigenstate exhibits an enhanced correction when the subsystem approaches a phase transition at half the total system size. This enhanced correction was derived…

高能物理 - 理论 · 物理学 2023-03-02 Sean McBride , Fernando Iniguez

The entanglement between two arbitrary subsystems of random pure states is studied via properties of the density matrix's partial transpose, $\rho_{12}^{T_2}$. The density of states of $\rho_{12}^{T_2}$ is close to the semicircle law when…

量子物理 · 物理学 2018-07-23 Udaysinh T. Bhosale , Steven Tomsovic , Arul Lakshminarayan

We present experimentally and numerically accessible quantities that can be used to differentiate among various families of random entangled states. To this end, we analyze the entanglement properties of bipartite reduced states of a…

Multipartite entanglement is a key resource for quantum computation. It is expected theoretically that entanglement transition may happen for multipartite random quantum states, however, which is still absent experimentally. Here, we report…

When a quantum pure state is drawn uniformly at random from a Hilbert space, the state is typically highly entangled. This property of a random state is known as generic entanglement of quantum states and has been long investigated from…

量子物理 · 物理学 2020-06-23 Yoshifumi Nakata , Mio Murao

We compute the entanglement negativity for various pure and mixed state configurations in a bath coupled to an evaporating two dimensional non-extremal Jackiw-Teitelboim (JT) black hole obtained through the partial dimensional reduction of…

高能物理 - 理论 · 物理学 2022-01-25 Jaydeep Kumar Basak , Debarshi Basu , Vinay Malvimat , Himanshu Parihar , Gautam Sengupta

Entanglement features of the ground state of disordered quantum matter are often captured by an infinite randomness fixed point that, for a variety of models, is the random singlet phase. Although a copious number of studies covers…

统计力学 · 物理学 2020-03-04 Xhek Turkeshi , Paola Ruggiero , Pasquale Calabrese

In this paper, we study the entanglement structure of mixed states in quantum many-body systems using the $\textit{negativity contour}$, a local measure of entanglement that determines which real-space degrees of freedom in a subregion are…

高能物理 - 理论 · 物理学 2020-04-22 Jonah Kudler-Flam , Hassan Shapourian , Shinsei Ryu

We introduce a diagnostic for quantum thermalization based on mixed-state entanglement. Specifically, given a pure state on a tripartite system $ABC$, we study the scaling of entanglement negativity between $A$ and $B$. For representative…

统计力学 · 物理学 2020-12-11 Tsung-Cheng Lu , Tarun Grover

We study entanglement properties of systems with spontaneously broken continuous symmetry. We find that in addition to the expected area law behavior, the entanglement entropy contains a subleading contribution which diverges…

强关联电子 · 物理学 2015-01-09 Max A. Metlitski , Tarun Grover

It is well known that for two qubits the upper bounds of the relative entropy of entanglement (REE) for a given concurrence as well as the negativity for a given concurrence are reached by pure states. We show that, by contrast, there are…

量子物理 · 物理学 2008-11-05 Adam Miranowicz , Satoshi Ishizaka , Bohdan Horst , Andrzej Grudka

We investigate the relationship between mixedness and entanglement for Gaussian states of continuous variable systems. We introduce generalized entropies based on Schatten $p$-norms to quantify the mixedness of a state, and derive their…

量子物理 · 物理学 2016-09-08 Gerardo Adesso , Alessio Serafini , Fabrizio Illuminati

Symmetry is an important property of quantum mechanical systems which may dramatically influence their behavior in and out of equilibrium. In this paper, we study the effect of symmetry on tripartite entanglement properties of typical…

量子物理 · 物理学 2022-12-07 Kasra Hejazi , Hassan Shapourian

Let a pure state \psi be chosen randomly in an NM-dimensional Hilbert space, and consider the reduced density matrix \rho of an N-dimensional subsystem. The bipartite entanglement properties of \psi are encoded in the spectrum of \rho. By…

数学物理 · 物理学 2013-05-16 Fabio Deelan Cunden , Paolo Facchi , Giuseppe Florio , Saverio Pascazio

Random quantum states and operations are of fundamental and practical interests. In this work, we investigate the entanglement properties of random hypergraph states, which generalize the notion of graph states by applying generalized…

量子物理 · 物理学 2023-01-04 You Zhou , Alioscia Hamma

We introduce and analyze the entanglement properties of randomized hypergraph states, as an extended notion of the randomization procedure in the quantum logic gates for the usual graph states, recently proposed in the literature. The…

量子物理 · 物理学 2024-02-09 Vinicius Salem , Alison A. Silva , Fabiano M. Andrade

Negativity is a measure of entanglement that can be used both in pure and mixed states. The negativity spectrum is the spectrum of eigenvalues of the partially transposed density matrix, and characterizes the degree and "phase" of…

高能物理 - 理论 · 物理学 2022-03-02 Jonah Kudler-Flam , Vladimir Narovlansky , Shinsei Ryu

We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to the "concentration of measure" phenomenon, meaning that on a…

量子物理 · 物理学 2007-05-23 Patrick Hayden , Debbie W. Leung , Andreas Winter

We investigate quantum entanglement in a non-relativistic critical system by calculating the logarithmic negativity of a class of mixed states in the quantum Lifshitz model in one and two spatial dimensions. In 1+1 dimensions we employ a…

高能物理 - 理论 · 物理学 2020-09-25 J. Angel-Ramelli , C. Berthiere , V. Giangreco M. Puletti , L. Thorlacius

The logarithmic negativity of a bipartite quantum state is a widely employed entanglement measure in quantum information theory, due to the fact that it is easy to compute and serves as an upper bound on distillable entanglement. More…

量子物理 · 物理学 2020-09-30 Xin Wang , Mark M. Wilde
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