W. K. Wootters, \Local Accessibility of Quantum Information," in Complexity, Entropy and the Physics of Information, edited by W. H. Zurek (Addison-Wesley, Redwood City, CA, 1990), p. 39.  Home/Search   Document Not in Database   Summary   Related Articles

....a thermodynamic cost at least as large as the work extracted [23] The example analyzed in detail in this paper provides another case. Along the way, it brings to light a new and distinct point about why quantum mechanics makes use of complex Hilbert spaces rather than real or quaternionic ones [24 27]. Furthermore, the method we use to prove our main theorem employs a novel measurement technique that might be of use in the laboratory. We analyze in depth a particular use of unknown states, which comes from the measurement technique known as quantum state tomography [28 30] The usual ....

....for real Hilbert spaces, but it does not establish that the theorem itself fails. The main point of this discussion is that it draws attention to the crucial di erence between real Hilbert space and complex Hilbertspace quantum mechanics a fact emphasized previously by Araki [26] and Wootters [27]. To show that the theorem fails, we need a counterexample. One such example is provided by the N system state 1 1 ; 5.2) 1 2 (I 2 ) and = 1 2 (I 2 ) 5.3) and where 2 was de ned in Eq. 3.2) In complex Hilbert space quantum mechanics, this is clearly a ....

W. K. Wootters, \Local Accessibility of Quantum Information," in Complexity, Entropy and the Physics of Information, edited by W. H. Zurek (Addison-Wesley, Redwood City, CA, 1990), p. 39.

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