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1. Anyonic Quantum Walks
(Uncategorized/Publication)
... as well as non-Abelian anyons are studied and it is shown that they have very different properties. Abelian anyonic walks demonstrate the expected quadratic quantum speedup. Non-Abelian anyonic walks are ...
... total correlation measure on the size of the register for several different quantum states and for global and pairwise correlation measures. We also show how to simplify some of the conditions required ...
3. Approximation by several rationals
(Uncategorized/Publication)
... in the special cases of n = 3 and n = 4 and certain admissible ranges for the denominators q(1), ... , q(n) one can improve a result of T. H. Chan by using a different approach. ...
... photon sources are typically subject to variation from device to device. Thus the photons emitted from different sources will not be perfectly identical, and there will be some variation in their frequencies. ...
A femtosecond laser with a 1 kHz repetition rate and two different polarization states was used to fabricate low-loss waveguides in fused silica. Investigations of chemically-mechanically polished waveguide ...
... the challenges facing researchers using the femtosecond laser direct-write technique with specific emphasis being placed on the suitability of fused silica and phosphate glass as device hosts for different ...
For a prime p > 2, an integer a with gcd(a, p) = 1 and 1
8. Optimal tracking for pairs of qubit states
(Uncategorized/Publication)
... of quantum tracking, namely, we look at how to optimally transform the state of a single qubit into a given target state, when the system can be prepared in two different ways, and the target state depends ...
... degrees. We demonstrate two different techniques which allow us to show that the number of such matrices in each of these classes and also with components in a given subinterval [-H, H] C [-(p - 1)/2, ...
... a large entangled state using non-deterministic gates. A key question in this context is the relative efficiencies of different 'strategies', i.e. in what order should the non-deterministic gates be applied, ...
The interaction of a five-level atomic system involving electromagnetically induced transparency with four light fields is investigated. Two different operating regimes are considered, semi-classical and ...
12. Catalan and Apery numbers in residue classes
(Uncategorized/Publication)
... in all residue classes modulo every sufficiently large p, which improves the previously known result requiring P-O(p) elements. We also study, using a different technique, similar questions for sequences ...
The interaction of a five-level atomic system involving electromagnetically induced transparency with four light fields is investigated. Two different light-atom configurations are considered, and their ...
We show that if a > 1 is any fixed integer, then for a sufficiently large x > 1, the nth Fibonacci number F,, is a base a pseudoprime only for at most (4 + o(1)), pi(x) of positive integers n
... is applied to a qubit which has been allowed to decohere for three different time periods. In each case, the process is found in terms of the. matrix representation and the affine map representation. The ...
... the quasimodes. The quantum path interference between these different emission channels can cause the spontaneous emission rate to differ dramatically from the rate obtained by the summation over resonant ...
... different experiments. We enumerate a set of criteria that such a distance measure must satisfy to be both experimentally and theoretically meaningful. We then assess a wide range of possible measures ...
Entropy plays a crucial role in the characterization of information and entanglement, but it is not a scalar quantity and for many systems it is different for different relativistic observers. We discuss ...
We give a relation between the linear complexity over the integers and over the residue rings modulo in of a bounded integer sequence. This relation can be used to obtain a variety of new results for several ...
Microstructured optical fibres (MOFs) have attracted much interest in recent times, due to their unique waveguiding properties that are vastly different from those of conventional step-index fibres. Tapering ...
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