A simple theorem is proved which has most of the known no-cloning and no-broadcasting results as corollaries. It also implies the standard restrictions on measuring non-commuting observables.
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- 1.Wootters, W. K. and Zurek, W. H.: A single quantum cannot be cloned, Nature 299 (1982), 802.Google Scholar
- 2.Yuen, H. P.: Amplification of quantum states and noiseless photon amplifiers, Phys. Lett. A 113(8) (1986), 405–407.Google Scholar
- 3.Barnum, H., Caves, C. M., Fuchs, C. A., Jozsa R. and Schumacher, B.: Noncommuting mixed states cannot be broadcast, Phys. Rev. Lett. 76(15) (1996), 2818–2821.Google Scholar
- 4.Lieb, E. H. and Ruskai, M. B.: Some operator inequalities of the Schwarz type, Adv. Math. 12 (1974), 269–273.Google Scholar
- 5.Kraus, K.: States, Effects and Operations: Fundamental Notions of Quantum Theory, Springer-Verlag, Berlin, 1983.Google Scholar
- 6.Paulsen, V.I.: Completely Bounded Maps and Dilations, Longman Scientific, London, 1986.Google Scholar