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Bennett, C. L. et al., 1994, to appear, Astrophys. J.

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Connecting Inflation to Observations - Andrew Liddle   (Correct)

....to large angle microwave background anisotropies n 1 Gamma 6ffl 2j ; R j C grav l C dens l 12ffl ; 2) where the C l are the variances of the l th temperature multipole. Although gravitational waves have not yet been unambiguously identified as a contributor to the COBE signal [4], their effect would be a reduced amplitude for the density perturbations which is unambiguously calculable for a given inflation model. Theoretical power spectra are easy to calculate, provided one has a good working knowledge of the matter content of the universe. Unfortunately this is not yet ....

Bennett, C. L. et al., 1994, to appear, Astrophys. J.


Quantum Computing - Shor (1998)   (10 citations)  Self-citation (Shor)   (Correct)

....Volume ICM 1998 Delta I Delta 467 486 Quantum Computing 481 detail, but the fact that these form a basis for the set of 2 Theta 2 matrices is enough to imply they can correct any one bit quantum error. The rigorous details of this implication are in [11] a more intuitive explanation is in [6]. This quantum Hamming code is the smallest nontrivial example of a set of codes based on linear binary codes named CSS codes after their discoverers [11, 31] and which contains codes that are much more efficient than this first one. For fault tolerance, which will be discussed next, we only need ....

....information theory is quantifying the amount of entanglement in a quantum state. Another direction is measuring the classical and the quantum capacities of a quantum channel. More information on quantum information theory can be found in Preskill s course notes [26] and in the survey article [6]. Another recent development is the study of quantum communication complexity. If two people share quantum entanglement, as well as a classical communications channel, this permits them to send each other qubits, but does not reduce the number of bits required for transmission of classical ....

C. H. Bennett and P. W. Shor, Quantum information theory, IEEE Transactions on Information Theory (1998), to appear. Documenta Mathematica \Delta Extra Volume ICM 1998 \Delta I \Delta 467--486 Quantum Computing 485

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