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Local Operations enhancing the entanglement of bipartite quantum states are of great interest in quantum information processing. Subject of this paper are local selective operations acting on single copies of states. Such operations can…

Quantum Physics · Physics 2007-05-23 Juliane Strassner , Christopher Witte

The class of local invertible operations is defined and the invariance of entanglement under such operations is established. For the quantification of entanglement, universal entanglement measures are defined, which are invariant under…

Quantum Physics · Physics 2011-03-10 J. Sperling , W. Vogel

A cogent theory of collective multipole-like quantum correlations in symmetric multiqubit states is presented by employing SO(3) irreducible spherical tensor representation. An arbitrary bipartite division of this system leads to a family…

Quantum Physics · Physics 2011-11-09 A. R. Usha Devi , R. Prabhu , A. K. Rajagopal

We study the entanglement properties of a class of $N$ qubit quantum states that are generated in arrays of qubits with an Ising-type interaction. These states contain a large amount of entanglement as given by their Schmidt measure. They…

Quantum Physics · Physics 2009-11-06 Hans J. Briegel , Robert Raussendorf

The general theory of N = 1 supergravity with supermatter is studied using a canonical approach. The supersymmetry and gauge constraint generators are found. The framework is applied to the study of a Friedmann minisuperspace model. We…

General Relativity and Quantum Cosmology · Physics 2011-04-15 A. D. Y. Cheng , P. D. D'Eath , P. R. L. V. Moniz

We show that any classical two-way communication protocol with shared randomness that can approximately simulate the result of applying an arbitrary measurement (held by one party) to a quantum state of $n$ qubits (held by another), up to…

Quantum Physics · Physics 2019-07-03 Ashley Montanaro

We calculate the analytic expression for geometric measure of entanglement for arbitrary superposition of two $N$-qubit canonical orthonormal Greenberger-Horne-Zeilinger ($GHZ$) states and the same for two $W$ states. In course of…

Quantum Physics · Physics 2011-03-14 Preeti Parashar , Swapan Rana

We give an algebraic quantization, in the sense of quantum groups, of the complex Minkowski space, and we examine the real forms corresponding to the signatures $(3,1)$, $(2,2)$, $(4,0)$, constructing the corresponding quantum metrics and…

High Energy Physics - Theory · Physics 2018-06-29 Rita Fioresi , Emanuele Latini , Alessio Marrani

In this paper, we introduce a quantum version of the wonderful compactification of a group as a certain noncommutative projective scheme. Our approach stems from the fact that the wonderful compactification encodes the asymptotics of matrix…

Representation Theory · Mathematics 2021-07-07 Iordan Ganev

We introduce a class of multiqubit quantum states which generalizes graph states. These states correspond to an underlying mathematical hypergraph, i.e. a graph where edges connecting more than two vertices are considered. We derive a…

Quantum Physics · Physics 2013-11-13 M. Rossi , M. Huber , D. Bruß , C. Macchiavello

We show that there exist bipartite quantum states which contain large hidden classical correlation that can be unlocked by a disproportionately small amount of classical communication. In particular, there are $(2n+1)$-qubit states for…

Quantum Physics · Physics 2009-11-10 David DiVincenzo , Michal Horodecki , Debbie Leung , John Smolin , Barbara Terhal

Several entanglement measures are used to define equivalence classes in the set of hypergraph states of three qubits. Our classifications reveal that (i) under local unitary transformations, hypergraph states of three qubits are split into…

Quantum Physics · Physics 2013-04-24 Ri Qu , Zong-shang Li , Juan Wang , Yan-ru Bao

Generating a long-distance quantum entanglement is one of the most essential functions of a quantum network to support quantum communication and computing applications. The successful entanglement rate during a probabilistic entanglement…

Networking and Internet Architecture · Computer Science 2023-07-04 Yiming Zeng , Jiarui Zhang , Ji Liu , Zhenhua Liu , Yuanyuan Yang

Vast developments in quantum technology have enabled the preparation of quantum states with more than a dozen entangled qubits. The full characterization of such systems demands distinct constructions depending on their specific type and…

We present new $n=(1,1)$ and $n=(1,0)$ supersymmetric generalization of the Liouville equation, which originate from a geometrical approach to describing the classical dynamics of Green--Schwarz superstrings in $N=2,~D=3$ and $N=1,~D=3$…

High Energy Physics - Theory · Physics 2009-10-28 Igor Bandos , Dmitrij Sorokin , Dmitrij Volkov

In this paper we study the non-local properties of permutation symmetric states of n-qubits. We extend the bipartite Hardy paradox and the associated CH-inequality to n-party permutation symmetric states to show that all symmetric states…

Quantum Physics · Physics 2012-05-28 Zizhu Wang , Damian Markham

We present a general method for constructing pure-product-state representations for density operators of $N$ quantum bits. If such a representation has nonnegative expansion coefficients, it provides an explicit separable ensemble for the…

Quantum Physics · Physics 2015-06-26 R. Schack , C. M. Caves

We consider ${\cal N}=2$ supersymmetric U(1) gauge theory in a nonanticommutative ${\cal N}=2$ harmonic superspace with the singlet deformation. We generalize analytic superfield and gauge parameter to the nonanticommutative theory so that…

High Energy Physics - Theory · Physics 2009-11-10 Batool Safarzadeh

We propose a probabilistic quantum cloning scheme using Greenberger-Horne-Zeilinger states, Bell basis measurements, single-qubit unitary operations and generalized measurements, all of which are within the reach of current technology.…

Quantum Physics · Physics 2009-11-06 Chuan-Wei Zhang , Chuan-Feng Li , Zi-Yang Wang , Guang-Can Guo

By introducing a semi-honest third party (TP), we propose in this paper a novel QPC protocol using (n+1)- qubit (n \ge 2) Greenberger-Horne-Zeilinger (GHZ) states as information carriers. The parameter n not only determines the number of…

Cryptography and Security · Computer Science 2020-08-20 Zhaoxu Ji , Peiru Fan , Huanguo Zhang , Houzhen Wang
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