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| In [[physics]], the '''no-broadcast theorem''' is a result in [[quantum information science|quantum information theory]]. In the case of [[pure state|pure quantum states]], it is a [[theorem|corollary]] of the [[no-cloning theorem]]: since [[quantum state]]s cannot be copied in general, they cannot be broadcast. Here, the word "broadcast" is used in the sense of conveying the state to two or more recipients. For multiple recipients to each receive the state, there must be, in some sense, a way of duplicating the state. The no-broadcast theorem generalizes the no-cloning theorem for [[mixed state (physics)|mixed states]].
| | Wilber Berryhill is the name his parents gave him and he completely digs that name. Distributing production is exactly where my main income arrives from and it's some thing I really appreciate. I am phone psychic ([http://cspl.postech.ac.kr/zboard/Membersonly/144571 http://cspl.postech.ac.kr/zboard/Membersonly/144571]) really fond of to go to karaoke but I've been using on new things lately. Mississippi is the only place I've been residing in but I will have to move in a yr or two.<br><br>my page: free [http://kpupf.com/xe/talk/735373 online psychic] [[http://help.ksu.edu.sa/node/65129 Recommended Reading]] |
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| The no-cloning theorem says that it is impossible to create two copies of a state given a single copy of the state.
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| The no-broadcast theorem says that, given a single copy of a state, it is impossible to create a state such that one part of it is the same as the original state and the other part is also the same as the original state. ''I.e.'', given an initial [[mixed state|state]] <math>\rho_1,</math> it is impossible to create a state <math>\rho_{AB}</math> in a [[Hilbert space]] <math>H_A\otimes H_B</math> such that the [[partial trace]] <math>Tr_A\rho_{AB}=\rho_1</math> and <math>Tr_B\rho_{AB}=\rho_1</math>. Although here we work with mixed states, a broadcasting machine would have to work on any [[pure state]] ensemble of <math>\rho_1.</math>
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| ==See also==
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| * [[No-communication theorem]]
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| * [[No-hiding theorem]]<ref>[http://phys.org/news/2011-03-quantum-no-hiding-theorem-experimentally.html Quantum no-hiding theorem experimentally confirmed for first time. Mar 07, 2011 by Lisa Zyga]</ref>
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| * [[Quantum teleportation]]
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| * [[Quantum entanglement]]
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| * [[Quantum information]]
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| * [[Uncertainty principle]]
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| * [[Transactional interpretation]]
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| ==References==
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| {{Reflist}}
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| *''Noncommuting Mixed States Cannot Be Broadcast'', [[Howard Barnum|H. Barnum]], [[Carlton M. Caves|C. M. Caves]], [[Christopher Fuchs|C. A. Fuchs]], [[Richard Jozsa|R. Jozsa]] and [[Benjamin Schumacher|B. Schumacher]], ''Phys. Rev. Lett.'' '''76''', 15, 2818--2821 (1996). ([http://prl.aps.org/abstract/PRL/v76/i15/p2818_1 prl.aps.org], [http://arxiv.org/abs/arxiv:quant-ph/9511010 ArXiv])
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| [[Category:Quantum information science]]
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| [[Category:Physics theorems]]
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| {{physics-stub}}
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