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5 papers · 2 filters
Preparing high purity initial states for nuclear magnetic resonance quantum computing
M. S. Anwar, D. Blazina, H. Carteret +5
Here we demonstrate how para-hydrogen can be used to prepare a two-spin system in an almost pure state which is suitable for implementing nuclear magnetic resonance (NMR) quantum c…
Spin-dependent Bohm trajectories for Pauli and Dirac eigenstates of hydrogen
C. Colijn, E. R. Vrscay
The de Broglie-Bohm causal theory of quantum mechanics is applied to the hydrogen atom in the fully spin-dependent and relativistic framework of the Dirac equation, and in the nonr…
Universal Compression of Ergodic Quantum Sources
Alexei Kaltchenko, En-Hui Yang
For a real number , let be the family of all stationary ergodic quantum sources with von Neumann entropy rates less than . We prove that, for any , there exists…
Exact quantum Fourier transforms and discrete logarithm algorithms
Michele Mosca, Christof Zalka
We show how the quantum fast Fourier transform (QFFT) can be made exact for arbitrary orders (first for large primes). For most quantum algorithms only the quantum Fourier transfor…
Shor's discrete logarithm quantum algorithm for elliptic curves
John Proos, Christof Zalka
We show in some detail how to implement Shor's efficient quantum algorithm for discrete logarithms for the particular case of elliptic curve groups. It turns out that for this prob…