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In the quantum system, perfect copying is impossible without prior knowledge. But, perfect copying is possible, if it is known that unknown states to be copied is contained by the set of orthogonal states, which is called the copied set.…

量子物理 · 物理学 2007-05-23 Masaki Owari , Masahito Hayashi

Recently, Li. \emph{et. al.} [Int. J. Theor. Phys., 48, 2777 (2009)] derived a necessary and sufficient condition for LOCC cloning of a set of bipartite orthogonal partially but equally entangled state. We demonstrates that, the result is…

量子物理 · 物理学 2011-06-10 Ramij Rahaman

We investigate the conditions under which a set $\SC$ of pure bipartite quantum states on a $D\times D$ system can be locally cloned deterministically by separable operations, when at least one of the states is full Schmidt rank. We allow…

量子物理 · 物理学 2015-03-17 Vlad Gheorghiu , Li Yu , Scott M. Cohen

We examine the perfect cloning of non-local, orthogonal states with only local operations and classical communication. We provide a complete characterisation of the states that can be cloned under these restrictions, and their relation to…

量子物理 · 物理学 2009-11-11 Alastair Kay , Marie Ericsson

We investigate the problem of copying pure two-qubit states of a given degree of entanglement in an optimal way. Completely positive covariant quantum operations are constructed which maximize the fidelity of the output states with respect…

量子物理 · 物理学 2009-11-10 J. Novotny , G. Alber , I. Jex

We study quantum hypothesis testing between orthogonal states under restricted local measurements in the many-copy scenario. For testing arbitrary multipartite entangled pure state against its orthogonal complement state via the local…

量子物理 · 物理学 2024-09-25 Hao-Chung Cheng , Andreas Winter , Nengkun Yu

We discuss (im)possibility of the exact cloning of orthogonal but genuinely entangled three qubit states aided with entangled ancila under local operation and classical communication. Whereas any two orthogonal GHZ states taken from the…

量子物理 · 物理学 2009-11-13 Sujit K. Choudhary , Guruprasad Kar , Samir Kunkri , Ramij Rahaman , Anirban Roy

In $2 \otimes 2$, more than 2 orthogonal Bell states with single copy can never be discriminated with certainty if only local operations and classical communication (LOCC) are allowed. More than $d$ orthogonal maximally entangled states in…

量子物理 · 物理学 2009-11-07 Sibasish Ghosh , Guruprasad Kar , Anirban Roy , Debasis Sarkar

We have found a quantum cloning machine that optimally duplicates the entanglement of a pair of $d$-dimensional quantum systems. It maximizes the entanglement of formation contained in the two copies of any maximally-entangled input state,…

量子物理 · 物理学 2007-05-23 E. Karpov , P. Navez , N. J. Cerf

We show that there exist sets of three mutually orthogonal $d$-dimensional maximally entangled states which cannot be perfectly distinguished using one-way local operations and classical communication (LOCC) for arbitrarily large values of…

量子物理 · 物理学 2014-01-07 Michael Nathanson

Quantum no-cloning, the impossibility of perfectly cloning an arbitrary unknown quantum state, is one of the most fundamental limitations due to the laws of quantum mechanics, which underpin the physical security of quantum key…

We propose a protocol where one can exploit dual quantum and classical channels to achieve perfect ``cloning'' and ``orthogonal-complementing'' of an unknown state with a minimal assistance from a state preparer (without revealing what the…

量子物理 · 物理学 2008-12-18 Arun Kumar Pati

In this Letter we analyze the (im)possibility of the exact cloning of orthogonal three-qubit CAT states under local operation and classical communication(LOCC) with the help of a restricted entangled state. We also classify the three-qubit…

量子物理 · 物理学 2011-06-10 Ramij Rahaman

Recently, the nonlocal optimal probabilistic cloning (NLOPC) of two non-orthogonal qubit states has been proposed [Phys. Rev. A 86, 052332 (2012)] by means of an experimental setup based on a pair of twin photons in a maximally entangled…

量子物理 · 物理学 2016-11-02 Nataly Cisternas , Gabriel Araneda , Omar Jiménez , Aldo Delgado

We discuss the exact cloning of orthogonal but entangled qubits under local operations and classical communication. The amount of entanglement necessary in blank copy is obtained for various cases. Surprisingly this amount is more than 1…

量子物理 · 物理学 2009-11-13 Sujit K. Choudhary , Samir Kunkri , Ramij Rahaman , Anirban Roy

It is shown that while entanglement remains a significant factor in discriminating a set of mutually orthogonal entangled states perfectly by local operations and classical communication (LOCC), entanglement content is not. In particular,…

量子物理 · 物理学 2010-03-02 Somshubhro Bandyopadhyay

Impossibility of cloning and deleting of unknown states are important restrictions on processing of information in the quantum world. On the other hand, a known quantum state can always be cloned or deleted. However if we restrict the class…

量子物理 · 物理学 2009-10-31 Michal Horodecki , Aditi Sen De , Ujjwal Sen

We study the problem of distinguishing quantum states using local operations and classical communication (LOCC). A question of fundamental interest is whether there exist sets of $k \leq d$ orthogonal maximally entangled states in…

量子物理 · 物理学 2014-08-22 Alessandro Cosentino , Vincent Russo

Local operations assisted by classical communication (LOCC) constitute the free operations in entanglement theory. Hence, the determination of LOCC transformations is crucial for the understanding of entanglement. We characterize here…

量子物理 · 物理学 2018-08-01 David Sauerwein , Nolan R. Wallach , Gilad Gour , Barbara Kraus

Though the no-cloning theorem [1] prohibits exact replication of arbitrary quantum states, there are many instances in quantum information processing and entanglement measurement in which a weaker form of cloning may be useful. Here, I…

强关联电子 · 物理学 2016-10-19 Timothy H. Hsieh
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