410 research outputs found
Quantum measurements and the Abelian Stabilizer Problem
We present a polynomial quantum algorithm for the Abelian stabilizer problem
which includes both factoring and the discrete logarithm. Thus we extend famous
Shor's results. Our method is based on a procedure for measuring an eigenvalue
of a unitary operator. Another application of this procedure is a polynomial
quantum Fourier transform algorithm for an arbitrary finite Abelian group. The
paper also contains a rather detailed introduction to the theory of quantum
computation.Comment: 22 pages, LATE
Distinguishing n Hamiltonians on C^n by a single measurement
If an experimentalist wants to decide which one of n possible Hamiltonians
acting on an n dimensional Hilbert space is present, he can conjugate the time
evolution by an appropriate sequence of known unitary transformations in such a
way that the different Hamiltonians result in mutual orthogonal final states.
We present a general scheme providing such a sequence.Comment: 4 pages, Revte
New Trends in Quantum Computing
Classical and quantum information are very different. Together they can
perform feats that neither could achieve alone, such as quantum computing,
quantum cryptography and quantum teleportation. Some of the applications range
from helping to preventing spies from reading private communications. Among the
tools that will facilitate their implementation, we note quantum purification
and quantum error correction. Although some of these ideas are still beyond the
grasp of current technology, quantum cryptography has been implemented and the
prospects are encouraging for small-scale prototypes of quantum computation
devices before the end of the millennium.Comment: 8 pages. Presented at the 13th Symposium on Theoretical Aspects of
Computer Science, Grenoble, 22 February 1996. Will appear in the proceedings,
Lecture Notes in Computer Science, Springer-Verlag. Standard LaTeX. Requires
llncs.sty (included
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