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| '''Quantum cloning''' is the process that takes an arbitrary, unknown [[quantum state]] and makes an exact copy without altering the original state in any way. In [[Dirac notation]], the process of quantum cloning is described by: | | Oscar is how he's known as and he totally loves this title. Hiring is his profession. Doing ceramics is what my family and I appreciate. North Dakota is her birth location but she will have to move 1 day or another.<br><br>Here is my page :: [http://Inspirationpedi.com/groups/useful-guidance-for-battling-your-yeast-infection/ http://Inspirationpedi.com/groups/useful-guidance-for-battling-your-yeast-infection] |
| :<math>U |\psi\rangle_A |e\rangle_B = |\psi\rangle_A |\psi\rangle_B</math>,
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| where <math>U</math> is the actual cloning operation, <math>|\psi\rangle_A</math> is the state to be cloned, and <math>|e\rangle_B</math> is the initial state of the copy.
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| Quantum cloning is forbidden by the laws of [[quantum mechanics]] as shown by the [[no cloning theorem]], which states that there is no <math>U</math> that can perform the cloning operation for any arbitrary state <math>|\psi\rangle_A</math>. Though perfect quantum cloning is not possible, it is possible to perform imperfect cloning, where the copies have a non-unit [[Fidelity of quantum states|fidelity]] with the state being cloned.
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| The quantum cloning operation is the best way to make copies of quantum information therefore cloning is an important task in [[Quantum information science|quantum information processing]], especially in the context of [[quantum cryptography]]. Researchers are seeking ways to build quantum cloning machines, which work at the so-called [[quantum limit]]. The first cloning machine relied on [[stimulated emission]] to copy quantum information encoded into single photons. Teleportation, [[nuclear magnetic resonance]], quantum amplification and superior phase conjugation have been some other methods utilized to realize a quantum cloning machine.
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| ==References==
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| * V. Buzek and M. Hillery, ''[http://xstructure.inr.ac.ru/x-bin/theme3.py?level=1&index1=373537 Quantum cloning]'', Physics World 14 (11) (2001), pp. 25–29.
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| * Antía Lamas-Linares, Christoph Simon, John C. Howell, Dik Bouwmeester, ''[http://arxiv.org/abs/quant-ph/0205149 Experimental Quantum Cloning of Single Photons]'', [[Science]] '''296''' 5568 (2002)
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| * Zhao Zhi, Zhang An-Ning, Zhou Xiao-Qi, Chen Yu-Ao, Lu Chao-Yang, Karlsson Anders, Pan Jian-Wei, ''[http://arxiv.org/abs/quant-ph/0412017 Experimental Realization of Optimal Asymmetric Cloning and Telecloning via Partial Teleportation]'', [[Phys. Rev. Lett]] '''95''' 030502 (2005)
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| * Cummins Holly K., Jones Claire, Furze Alistair, Soffe Nicholas F., Mosca Michele, Peach Josephine M., Jones Jonathan A., ''[http://arxiv.org/abs/quant-ph/011198 Approximate Quantum Cloning with Nuclear Magnetic Resonance]'', [[Phys. Rev. Lett]] '''88''' 187901 (2002)
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| * [[Samuel L. Braunstein]], Nicolas J. Cerf, Sofyan Iblisdir, Peter van Loock, and Serge Massar ''[http://arxiv.org/abs/quant-ph/0012046 Optimal Cloning of Coherent States with a Linear Amplifier and Beam Splitters]'', [[Phys. Rev. Lett]] '''86''' 4938 (2001)
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| * Metin Sabuncu, Ulrik L. Andersen, and Gerd Leuchs ''[http://arxiv.org/abs/quant-ph/0612197 Experimental Demonstration of Continuous Variable Cloning with Phase-Conjugate Inputs]'', [[Phys. Rev. Lett]] '''98''' 170503 (2007)
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| ==See also==
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| * [[No-cloning theorem]]
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| * [[No-broadcast theorem]]
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| * [[Quantum no-deleting theorem]]
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| [[Category:Quantum mechanics]]
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| [[Category:Quantum information science]]
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| {{quantum-stub}}
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Oscar is how he's known as and he totally loves this title. Hiring is his profession. Doing ceramics is what my family and I appreciate. North Dakota is her birth location but she will have to move 1 day or another.
Here is my page :: http://Inspirationpedi.com/groups/useful-guidance-for-battling-your-yeast-infection