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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…

High Energy Physics - Theory · Physics 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…

Quantum Physics · Physics 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…

Quantum Physics · Physics 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…

High Energy Physics - Theory · Physics 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…

Statistical Mechanics · Physics 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…

High Energy Physics - Theory · Physics 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…

Statistical Mechanics · Physics 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…

Strongly Correlated Electrons · Physics 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…

Quantum Physics · Physics 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…

Quantum Physics · Physics 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…

Quantum Physics · Physics 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…

Mathematical Physics · Physics 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…

Quantum Physics · Physics 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…

Quantum Physics · Physics 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…

High Energy Physics - Theory · Physics 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…

Quantum Physics · Physics 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…

High Energy Physics - Theory · Physics 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…

Quantum Physics · Physics 2020-09-30 Xin Wang , Mark M. Wilde
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