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We give necessary conditions for the mixing problem in bipartite case, which are independent of eigenvalues and based on algebraic-geometric invariants of the bipartite states. One implication of our results is that for some special…

Quantum Physics · Physics 2007-05-23 Hao Chen

We investigate the asymptotic rates of entanglement transformations for bipartite mixed states by local operations and classical communication (LOCC). We analyse the relations between the rates for different transitions and obtain simple…

Quantum Physics · Physics 2009-10-19 Michal Horodecki , Aditi Sen De , Ujjwal Sen

We study the distinguishability of multipartite quantum states by separable operations. We first present a necessary and sufficient condition for a finite set of orthogonal quantum states to be distinguishable by separable operations. An…

Quantum Physics · Physics 2009-06-25 Runyao Duan , Yuan Feng , Yu Xin , Mingsheng Ying

This paper uses a system theoretic approach to show that classical linear time invariant controllers cannot generate steady state entanglement in a bipartite Gaussian quantum system which is initialized in a Gaussian state. The paper also…

Systems and Control · Computer Science 2012-01-04 H. I. Nurdin , I. R. Petersen , M. R. James

We give an introduction to Gaussian states and operations. A discussion of the entanglement properties of bipartite Gaussian states in terms of its covariance matrix follows. It is explained how entanglement can be witnessed using feasible…

Quantum Physics · Physics 2007-05-23 Janet Anders

I consider deterministic distinguishability of a set of orthogonal, bipartite states when only a single copy is available and the parties are restricted to local operations and classical communication, but with the additional requirement…

Quantum Physics · Physics 2009-11-13 Scott M. Cohen

We study when a physical operation can produce entanglement between two systems initially disentangled. The formalism we develop allows to show that one can perform certain non-local operations with unit probability by performing local…

Quantum Physics · Physics 2009-11-06 J. I. Cirac , W. Dür , B. Kraus , M. Lewenstein

We show that a bipartite Gaussian quantum system interacting with an external Gaussian environment may possess a unique Gaussian entangled stationary state and that any initial state converges towards this stationary state. We discuss…

Quantum Physics · Physics 2024-07-22 A. Dhahri , F. Fagnola , D. Poletti , H. J. Yoo

Incomparability of pure bipartite entangled states under deterministic LOCC is a very strange phenomena. We find two possible ways of getting our desired pure entangled state which is incomparable with the given input state, by collective…

Quantum Physics · Physics 2007-05-23 Indrani Chattopadhyay , Debasis Sarkar

The distribution of typical bipartite pure states is studied within the framework of state transformation via local operation and classical communication (LOCC). We report the statistics of comparable and incomparable states in different…

Quantum Physics · Physics 2022-11-14 Rivu Gupta , Arghya Maity , Shiladitya Mal , Aditi Sen De

In this work we probe the usefulness of non-Gaussian entangled states as a resource for quantum communication through atmospheric channels. We outline the initial conditions in which non-Gaussian state transfer leads to enhanced…

Quantum Physics · Physics 2016-01-06 Nedasadat Hosseinidehaj , Robert Malaney

We investigate the entanglement properties of pure quantum states describing $n$ qubits. We characterize all multipartite states which can be maximally entangled to local auxiliary systems using controlled operations. A state has this…

Quantum Physics · Physics 2013-05-29 C. Kruszynska , B. Kraus

We show that not all 4-party pure states are GHZ reducible (i.e., can be generated reversibly from a combination of 2-, 3- and 4-party maximally entangled states by local quantum operations and classical communication asymptotically)…

Quantum Physics · Physics 2009-11-06 Shengjun Wu , Yongde Zhang

The theory of the asymptotic manipulation of pure bipartite quantum systems can be considered completely understood: The rates at which bipartite entangled states can be asymptotically transformed into each other are fully determined by a…

Quantum Physics · Physics 2020-08-26 A. Streltsov , C. Meignant , J. Eisert

The maximum amount of entanglement achievable under passive transformations by continuous-variable states is called the entanglement potential. Recent work has demonstrated that the entanglement potential is upper-bounded by a simple…

Quantum Physics · Physics 2023-07-24 Bohan Li , Aritra Das , Spyros Tserkis , Prineha Narang , Ping Koy Lam , Syed M. Assad

We provide a graphical method to describe and analyze non-Gaussian quantum states using a hypergraph framework. These states are pivotal resources for quantum computing, communication, and metrology, but their characterization is hindered…

Quantum Physics · Physics 2025-07-28 Lina Vandré , Boxuan Jing , Yu Xiang , Otfried Gühne , Qiongyi He

Bipartite operations underpin both classical communication and entanglement generation. Using a superposition of classical messages, we show that the capacity of a two-qubit operation for error-free entanglement-assisted bidirectional…

Quantum Physics · Physics 2007-05-23 Dominic W. Berry , Barry C. Sanders

Entangled quantum states can be given a separable decomposition if we relax the restriction that the local operators be quantum states. Motivated by the construction of classical simulations and local hidden variable models, we construct…

Quantum Physics · Physics 2015-11-11 Hussain Anwar , Sania Jevtic , Oliver Rudolph , Shashank Virmani

In this work we provide a method to study the entanglement entropy for non-Gaussian states that minimize the energy functional of interacting quantum field theories at arbitrary coupling. To this end, we build a class of non-Gaussian…

High Energy Physics - Theory · Physics 2021-02-22 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

We study the measurement-induced non-Gaussian operation on the single- and two-mode \textit{Gaussian} squeezed vacuum states with beam splitters and on-off type photon detectors, with which \textit{mixed non-Gaussian} states are generally…

Quantum Physics · Physics 2009-11-11 Akira Kitagawa , Masahiro Takeoka , Kentaro Wakui , Masahide Sasaki