Several known algorithms for synthesizing quantum circuits in terms of elementary gates reduce arbitrary computations to diagonal [1, 2]. Circuits for n-qubit diagonal computations can be constructed using one (n − 1)-controlled one-qubit diagonal computation [3] and one inverter per pair of diagonal elements, not unlike the construction of classical AND-OR-NOT circuits based on the lines of a ...

Let φ be a w-continuous homomorphism from a dual Banach algebra to C. The notion of φ-Connes amenability is studied and some characterizations is given. A type of diagonal for dual Banach algebras is dened. It is proved that the existence of such a diagonal is equivalent to φ-Connes amenability. It is also shown that φ-Connes amenability is equivalent to so-called φ-splitting of a certain short...

X iv :0 80 6. 12 73 v1 [ m at h. N T ] 7 J un 2 00 8 MATRICIAL FORMULAE FOR PARTITIONS F. AICARDI Abstract. The exponential of the triangular matrix whose entries in the diagonal at distance n from the principal diagonal are all equal to the sum of the inverse of the divisors of n is the triangular matrix whose entries in the diagonal at distance n from the principal diagonal are all equal to t...

Online detection of hydrodynamics of gas-solid fluidized bed was characterized using pressure fluctuations by cross recurrence plot (CRP) and cross recurrence quantification analysis (CRQA). Experiments were conducted in a lab scale fluidized bed of various particle sizes 150 μm, 280 μm and 490 μm at different gas velocities. Firstly, pattern changes of cross recurrence plot were discussed and ...

We obtain several results and examples concerning the general question “When must a space with a small diagonal have a Gδ-diagonal?”. In particular, we show (1) every compact metrizably fibered space with a small diagonal is metrizable; (2) there are consistent examples of regular Lindelöf (even hereditarily Lindelöf) spaces with a small diagonal but no Gδ-diagonal; (3) every first-countable he...

we have developed a three level implicit method for solution of the helmholtz equation. using the cubic spline in space and nite dierence in time directions. the approach has been modied to drive numerov type nite dierence method. the method yield the tri- diagonal linear system of algebraic equations which can be solved by using a tri-diagonal solver. stability and error estimation of the...

Abstract We study the notion of weak amalgamation in context diagonal conjugacy classes. Generalizing results Kechris and Rosendal, we prove that for every countable structure M , Polish group G permutations $$n \ge 1$$ n ≥ 1 has a comeager n -diagonal ...