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We consider a two-qubit unitary operation along with arbitrary local unitary operations acts on a two-qubit pure state, whose entanglement is C_0. We give the conditions that the final state can be maximally entangled and be non-entangled.…

量子物理 · 物理学 2009-11-10 M. -Y. Ye , Dong Sun , Y. -S. Zhang , G. -C. Guo

A $2\otimes 2$ unitary operation is called a perfect entangler if it can generate a maximally entangled state from some unentangled input. We study the following question: How many runs of a given two-qubit entangling unitary operation is…

量子物理 · 物理学 2013-09-24 Nengkun Yu , Runyao Duan , Mingsheng Ying

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…

量子物理 · 物理学 2007-05-23 Juliane Strassner , Christopher Witte

The structure of all completely positive quantum operations is investigated which transform pure two-qubit input states of a given degree of entanglement in a covariant way. Special cases thereof are quantum NOT operations which transform…

量子物理 · 物理学 2009-11-13 J. Novotny , G. Alber , I. Jex

For two symmetric quantum states one may be interested in maximizing the overlap under local operations applied to one of them. The question arises whether the maximal overlap can be obtained by applying the same local operation to each…

量子物理 · 物理学 2017-02-15 Antoine Neven , Pierre Mathonet , Otfried Gühne , Thierry Bastin

Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single copy of the state. Accordingly, we say…

量子物理 · 物理学 2009-11-06 W. Dür , G. Vidal , J. I. Cirac

The ability to reach a maximally entangled state from a separable one through the use of a two-qubit unitary operator is analyzed for mixed states. This extension from the known case of pure states shows that there are at least two families…

量子物理 · 物理学 2018-04-06 Zhe Guan , Huan He , Yong-Jian Han , Chuan-Feng Li , Fernando Galve , Guang-Can Guo

We analyze various scenarios for entangling two initially unentangled qubits. In particular, we propose an optimal universal entangler which entangles a qubit in unknown state $|\Psi>$ with a qubit in a reference (known) state $|0>$. That…

量子物理 · 物理学 2009-11-06 Vladimir Buzek , Mark Hillery

While quantum circuits built from two-particle dual-unitary (maximally entangled) operators serve as minimal models of typically nonintegrable many-body systems, the construction and characterization of dual-unitary operators themselves are…

量子物理 · 物理学 2023-01-20 Suhail Ahmad Rather , S. Aravinda , Arul Lakshminarayan

Entanglement of two parts of a quantum system is a non-local property unaffected by local manipulations of these parts. It is described by quantities invariant under local unitary transformations. Here we present, for a system of two…

量子物理 · 物理学 2007-05-23 Yuriy Makhlin

We propose a deterministic scheme of generating genuine multiparty entangled states in quantum networks of arbitrary size having various geometric structures -- we refer to it as entanglement circulation. The procedure involves optimization…

量子物理 · 物理学 2022-09-16 Pritam Halder , Ratul Banerjee , Srijon Ghosh , Amit Kumar Pal , Aditi Sen De

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…

量子物理 · 物理学 2013-05-29 C. Kruszynska , B. Kraus

There has been much discussion recently regarding entanglement transformations in terms of local filtering operations and whether the optimal entanglement for an arbitrary two-qubit state could be realised. We introduce an experimentally…

量子物理 · 物理学 2009-11-07 R. T. Thew , W. J. Munro

Twirling operations, which average a quantum state with respect to a unitary subgroup, have become a frequently-employed tool in quantum information processing. We investigate the efficient implementation of twirling operations with minimal…

量子物理 · 物理学 2020-02-19 David Jakob Stonner , Jaroslav Kysela , Graeme Weir , Jaroslav Novotny , Gernot Alber , Igor Jex

We derive the optimal curve satisfied by the reduction factors, in the case of universal disentangling machine which uses only local operations. Impossibility of constructing a better disentangling machine, by using non-local operations, is…

Maximally entangled bipartite unitary operators or gates find various applications from quantum information to being building blocks of minimal models of many-body quantum chaos, and have been referred to as "dual unitaries". Dual unitary…

量子物理 · 物理学 2020-08-19 Suhail Ahmad Rather , S. Aravinda , Arul Lakshminarayan

Quantum entanglement lies at the heart of quantum mechanics in both fundamental and practical aspects. The entanglement of quantum states has been studied widely, however, the entanglement of operators has not been studied much in spite of…

We show that any two different unitary operations acting on an arbitrary multipartite quantum system can be perfectly distinguishable by local operations and classical communication when a finite number of runs is allowed. We then directly…

量子物理 · 物理学 2011-11-09 Runyao Duan , Yuan Feng , Mingsheng Ying

In order to cope with the fact that there exists no single maximally entangled state (up to local unitaries) in the multipartite setting, we introduced in [J. I. de Vicente, C. Spee and B. Kraus, Phys. Rev. Lett. 111, 110502 (2013)] the…

量子物理 · 物理学 2016-12-14 C. Spee , J. I. de Vicente , B. Kraus

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…

量子物理 · 物理学 2015-11-11 Hussain Anwar , Sania Jevtic , Oliver Rudolph , Shashank Virmani
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