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This paper discusses the no-cloning theorem in a logico-algebraic approach. In this approach, an orthoalgebra is considered as a general structure for propositions in a physical theory. We proved that an orthoalgebra admits cloning…

量子物理 · 物理学 2009-10-21 Takayuki Miyadera , Hideki Imai

In this paper we consider the conditions under which a given ensemble of two-qubit states can be optimally distinguished by local operations and classical communication (LOCC). We begin by completing the \emph{perfect} distinguishability…

量子物理 · 物理学 2014-05-14 Eric Chitambar , Runyao Duan , Min-Hsiu Hsieh

The no-cloning theorem states that an unknown quantum state cannot be cloned exactly and deterministically due to the linearity of quantum mechanics. Associated with this theorem is the quantitative no-cloning limit that sets an upper bound…

One of the fundamental restrictions that quantum mechanics imposes is the "No deletion Theorem" which tells us that given two identical unknown quantum states, it is impossible to delete one of them. But nevertheless if not perfect, people…

量子物理 · 物理学 2023-03-14 Aditya Jain , Indranil Chakrabarty

The problem of quantum state reduction in the process of measurement has attracted attention of almost everyone who created, developed or explained quantum physics to the students. Absence of a solution is the basis for the statement that…

量子物理 · 物理学 2017-09-11 Constantin V. Usenko

We propose a notion of state distinguishability that does not refer to probabilities, but rather to the ability of a set of states to serve as programs for a desired set of gates. Using this notion, we reconstruct the structural features of…

量子物理 · 物理学 2015-05-01 Giulio Chiribella

We prove generic versions of the no-cloning and no-broadcasting theorems, applicable to essentially {\em any} non-classical finite-dimensional probabilistic model that satisfies a no-signaling criterion. This includes quantum theory as well…

量子物理 · 物理学 2007-05-23 Howard Barnum , Jonathan Barrett , Matthew Leifer , Alexander Wilce

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 show that encrypted cloning of unknown quantum states is possible. Any number of encrypted clones of a qubit can be created through a unitary transformation, and each of the encrypted clones can be decrypted through a unitary…

量子物理 · 物理学 2026-01-16 Koji Yamaguchi , Achim Kempf

We analyze to what extent it is possible to copy arbitrary states of a two-level quantum system. We show that there exists a "universal quantum copying machine", which approximately copies quantum mechanical states in such a way that the…

量子物理 · 物理学 2009-10-30 Vladimir Buzek , Mark Hillery

Orthogonal pure states can be cloned as well as deleted. However if there is an initial disorder in the system, that is for orthogonal mixed states, one cannot perform deletion. And cloning, in such cases, necessarily produces an…

量子物理 · 物理学 2007-05-23 Michal Horodecki , Aditi Sen De , Ujjwal Sen

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

Much of the theory of entanglement concerns the transformations that are possible to a state under local operations with classical communication (LOCC); however, this set of operations is complicated and difficult to describe…

量子物理 · 物理学 2008-08-24 Ognyan Oreshkov , Todd A. Brun

It is known that no quantum process can produce a predetermined superposition of unknown arbitrary states. It has already been shown that with some partial information about the states, one can produce with some probability such…

量子物理 · 物理学 2017-11-22 Mina Doosti , Farzad Kianvash , Vahid Karimipour

Ensembles containing orthogonal product states are found to be indistinguishable under local operations and classical communication (LOCC), thereby showing irreversibility in the preparation and distinguishing processes, which is commonly…

量子物理 · 物理学 2020-09-10 Shiladitya Mal , Aditi Sen De

We recast the quantum no-cloning theorem in a form that preserves spin statistics and apply it to entanglement.

量子物理 · 物理学 2019-04-23 Mark G. Kuzyk

We construct a probabilistic quantum cloning machine by a general unitary-reduction operation. With a postselection of the measurement results, the machine yields faithful copies of the input states. It is shown that the states secretly…

量子物理 · 物理学 2009-10-31 Lu-Ming Duan , Guang-Can Guo

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…

Unambiguous discrimination and exact cloning reduce the square-overlap between quantum states, exemplifying the more general type of procedure we term state separation. We obtain the maximum probability with which two equiprobable quantum…

量子物理 · 物理学 2008-11-26 Anthony Chefles , Stephen M. Barnett

No-cloning theorem says that there is no unitary operation that makes perfect clones of non-orthogonal quantum states. The objective of the present paper is to examine whether an imperfect cloning operation exists or not in a C*-algebraic…

量子物理 · 物理学 2015-06-23 Yuichiro Kitajima