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When preparing a pure state with a quantum circuit, there is an unavoidable approximation error due to the compilation error in fault-tolerant implementation. A recently proposed approach called probabilistic state synthesis, where the…

量子物理 · 物理学 2024-01-08 Seiseki Akibue , Go Kato , Seiichiro Tani

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 investigate definitions of and protocols for multi-party quantum computing in the scenario where the secret data are quantum systems. We work in the quantum information-theoretic model, where no assumptions are made on the computational…

量子物理 · 物理学 2007-05-23 Adam Smith

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

Entanglement is among the most fundamental-and at the same time puzzling-properties of quantum physics. Its modern description relies on a resource-theoretical approach, which treats entangled systems as a means to enable or accelerate…

量子物理 · 物理学 2024-05-24 Serge Deside , Matthieu Arnhem , Célia Griffet , Nicolas J. Cerf

We pose the question whether the asymptotic equivalence between quantum cloning and quantum state estimation, valid at single-copy level, still holds when all the copies are examined jointly. For an N-to-M cloner, we consider the overall…

量子物理 · 物理学 2014-04-07 Yuxiang Yang , Giulio Chiribella

The remarkable phenomenon of catalyst tells us that adding a catalyst could help state transformation. In this paper, we consider the problem of catalyst-assisted probabilistic coherence distillation for mixed states under strictly…

量子物理 · 物理学 2020-01-13 C. L. Liu , D. L. Zhou

Since, in general, non-orthogonal states cannot be cloned, any eavesdropping attempt in a Quantum Communication scheme using non-orthogonal states as carriers of information introduces some errors in the transmission, leading to the…

Several physical architectures allow for measurement-based quantum computing using sequential preparation of cluster states by means of probabilistic quantum gates. In such an approach, the order in which partial resources are combined to…

量子物理 · 物理学 2009-11-13 K. Kieling , D. Gross , J. Eisert

The cloning of continuous quantum variables is analyzed based on the concept of Gaussian cloning machines, i.e., transformations that yield copies that are Gaussian mixtures centered on the state to be copied. The optimality of Gaussian…

量子物理 · 物理学 2009-11-06 N. J. Cerf , S. Iblisdir

We consider one copy of a quantum system prepared in one of two orthogonal pure states, entangled or otherwise, and distributed between any number of parties. We demonstrate that it is possible to identify which of these two states the…

量子物理 · 物理学 2009-11-06 Jonathan Walgate , Anthony J. Short , Lucien Hardy , Vlatko Vedral

In the experimental determination of the population transfer efficiency between discrete states of a coherently driven quantum system it is often inconvenient to measure the population of the target state. Instead, after the interaction…

量子物理 · 物理学 2018-05-23 Nikolay V. Vitanov

Given a finite set of linearly independent quantum states, an observer who examines a single quantum system may sometimes identify its state with certainty. However, unless these quantum states are orthogonal, there is a finite probability…

量子物理 · 物理学 2009-09-25 Asher Peres , Daniel Terno

Suppose we are given an entangled pair and then one can ask how well we can produce two entangled pairs starting from a given entangled pair using only local operations. To give response of the above asked question, we study broadcasting of…

量子物理 · 物理学 2009-11-13 Satyabrata Adhikari , B. S. Choudhury , Indranil Chakrabarty

We apply a general method for the estimation of completely positive maps to the 1-to-2 universal covariant cloning machine. The method is based on the maximum-likelihood principle, and makes use of random input states, along with random…

量子物理 · 物理学 2009-11-06 Massimiliano F. Sacchi

The goal of partial-order methods is to accelerate the exploration of concurrent systems by examining only a representative subset of all possible runs. The stateful approach builds a transition system with representative runs, while the…

计算机科学中的逻辑 · 计算机科学 2024-11-27 Frédéric Herbreteau , Sarah Larroze-Jardiné , Gérald Point , Igor Walukiewicz

We consider cloning transformations of d-dimensional states of the form e^{i\phi_0}|0> + e^{i\phi_1}|1> +...+ e^{i\phi_{d-1}}|d-1> that are covariant with respect to rotations of the phases \phi_i's. The optimal cloning maps are easily…

量子物理 · 物理学 2014-11-18 L. -P. Lamoureux , N. J. Cerf

Attempts at cloning a quantum system result in the introduction of imperfections in the state of the copies. This is a consequence of the no-cloning theorem, which is a fundamental law of quantum physics and the backbone of security for…

量子物理 · 物理学 2016-08-17 Frédéric Bouchard , Robert Fickler , Robert W Boyd , Ebrahim Karimi

Given a finite number of copies of an unknown qubit state that have already been measured optimally, can one still extract any information about the original unknown state? We give a positive answer to this question and quantify the…

量子物理 · 物理学 2015-05-13 Peter Rapcan , John Calsamiglia , Ramon Munoz-Tapia , Emilio Bagan , Vladimir Buzek

The preparation of quantum states lies at the foundation in the quantum information processing. The convex mixing of some existing quantum states is one of the effective candidate. In this paper, we mainly study how a target quantum state…

量子物理 · 物理学 2022-03-16 Li-qiang Zhang , Deng-hui Yu , Chang-shui Yu