R. Jozsa, J. of Modern Optics 41, (1994) 2315. Home/Search Document Not in Database Summary Related Articles Check |
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Insecurity of Quantum Secure Computations - Hoi-Kwong Lo Brims (1997) (4 citations) (Correct)
....for Alice to distinguish successfully between the two cases remains small, the two density matrices ae Alice j 1 and ae Alice j 2 must in some sense be close to each other. Mathematically, the closeness between two density matrices ae and ae 0 of a system S can be described by the fidelity [28]. See also Ref. 27] Imagine another system E attached to a given system S. There are many pure states j i and j 0 i on the composite system that satisfy Tr E (j ih j) ae and TrE (j 0 ih 0 j) ae 0 : 15) The pure states j i and j 0 i are called the purifications of the ....
.... strategy of determining f(i; j 1 ) approximately first, applying a rotation to his state to change j from j 1 to j 2 and then determining f(i; j 2 ) will allow him to defeat the security requirement (c) of the protocol 16 This follows from the fact that the fidelity is closely related [28] to the Bures metric. 15 by learning substantial information about f(i; j 2 ) Therefore, even non ideal protocols are unsafe if nffi 1. Case (B) ffi 1 nffi. I now separate the discussion further into two cases: typical and atypical functions. A typical function f(i; j) is defined to ....
R. Jozsa, J. of Modern Optics 41, (1994) 2315.
Classical Information Capacity of a Quantum Channel - Hausladen, Schumacher.. (1996) (10 citations) Self-citation (Schumacher) (Correct)
....on the nature of the information to be conveyed. On the one hand, one can try to convey quantum states themselves: the sender has a quantum system in an unknown state and wants the receiver to end up with a similar system in the same state. A coding theorem for this case has recently been proved[1, 2]. On the other hand, one might want to use quantum states to convey classical information, that is, information that can be expressed as a sequence of zeros and ones. The situation is particularly interesting if the quantum states one is using are not all orthogonal to each other, in which case ....
....some of the corollaries and consequences of the main result. 2 Typical subspaces Suppose we have the ensemble of letter states j ai in a Hilbert space H with probabilities p a , as described above. Fix ffl; ffi 0. We can concatenate letters into words of length l, and if l is long enough[1, 2] then the Hilbert space H l = H Omega H Omega : Omega H (the lth order tensor product of H) for the words can be decomposed into two subspaces: a typical subspace and the perpendicular subspace , having the following properties: ffl Both and are spanned by eigenstates of ae l ....
R. Jozsa and B. Schumacher, J. Modern Optics 41, 2343-2349 (1994).
Insecurity of Quantum Secure Computations - Hoi-Kwong Lo Brims (1998) (4 citations) (Correct)
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R. Jozsa, J. of Modern Optics 41, (1994) 2315.
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