Group-representation approach to1→Nuniversal quantum cloning machines
نویسندگان
چکیده
منابع مشابه
Optimal Quantum Cloning Machines
We present Quantum Cloning Machines (QCM) that transform N identical qubits into M > N identical copies and we prove that the fidelity (quality) of these copies is optimal. The connection between cloning and measurement is discussed in detail. When the number of clones M tends towards infinity, the fidelity of each clone tends towards the optimal fidelity that can be obtained by a measurement o...
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Quantum cloning machines for equatorial qubits are studied. For 1 to 2 phase-covariant quantum cloning machine, using Hilbert-Schmidt norm and Bures fidelity, we show that our transformation can achieve the bound of the fidelity. Networks consisting of quantum gates are presented to realize the quantum cloning transformations. The copied equatorial qubits are shown to be separable by using Pere...
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No-cloning theorem is one of the most fundamental differences between classical and quantum information theories. It tells us that an unknown quantum state can not be copied perfectly[1]. This no-cloning theorem has important consequences for the whole quantum information processing[2]. However, no-cloning theorem does not forbid imperfect cloning, and it is interesting to know how well we can ...
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Undergraduate physics emphasises the Schrödinger’s analytic approach in solving and understanding quantum systems. Although briefly mentioned, group-theoretic approach is not emphasised, at least in terms of mathematical rigour. I attempt to kill the two rabbits rigour and application. Part I develops the necessary formal theory of representation of finite group. In part II: Application, I prim...
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An unknown quantum state cannot be copied and broadcast freely due to the no-cloning theorem. Approximate cloning schemes have been proposed to achieve the optimal cloning characterized by the maximal fidelity between the original and its copies. Here, from the perspective of quantum Fisher information (QFI), we investigate the distribution of QFI in asymmetric cloning machines which produce tw...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2014
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.89.052322