| Fuchs, C. A., "Information gain vs. state disturbance in quantum theory", submitted to Fourth Workshop on Physics and Computation --- PhysComp '96, Boston, November 1996. Available at http://xxx.lanl.gov/ps/quant-ph/9605014. |
....of error and Kolmogorov distance (eq. 3. 9) shows that the two measurements that optimize PE and K are necessarily identical: the measurement E minimizes PE(p 0 (E) p 1 (E) 1 2 Gamma 1 2 K(p 0 (E) p 1 (E) if and only if E maximizes K(p 0 (E) p 1 (E) See also the appendix of [FU96]. Combining equations (3.7) and (3.9) we get: 3.9 Proposition The Kolmogorov distance between two density matrices ae 0 and ae 1 equals K(ae 0 ; ae 1 ) 1 2 Trjae 0 Gamma ae 1 j; 3.11) where the j are the eigenvalues of ae 0 Gamma ae 1 . 63 Observe that Trjae 0 Gamma ae 1 j is known ....
....derivation of this relation is found in [CG97] which also deals with the case for two qubits. For more than two qubits no general formulas concerning information and disturbance are known. For a more thorough exposition about the information disturbance principle the reader is referred to [FU96]. 4.4.4 Redefining the view The different nature of quantum information has significant consequences for the model, in particular for the definition of the view. Look for instance at Figure 2.4 on page 24, and assume that A, B and E are quantum computers, and suppose that A is corrupted. This ....
FUCHS, C. A., "Information gain vs. state disturbance in quantum theory", to appear in Fortschritte der Physik (1996), available at http://xxx.lanl.gov/ps/quant-ph/9611010.
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Fuchs, C. A., "Information gain vs. state disturbance in quantum theory", submitted to Fourth Workshop on Physics and Computation --- PhysComp '96, Boston, November 1996. Available at http://xxx.lanl.gov/ps/quant-ph/9605014.
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