Universal simulation of Hamiltonian dynamics for quantum systems with finite-dimensional state spaces

What interactions are sufficient to simulate arbitrary quantum dynamics in a composite quantum system? Dodd [Phys. Rev. A 65, 040301(R) (2002)] provided a partial solution to this problem in the form of an efficient algorithm to simulate any desired two-body Hamiltonian evolution using any fixed two-body entangling N-qubit Hamiltonian, and local unitaries. We extend this result to the case where the component systems are qudits, that is, have D dimensions. As a consequence we explain how universal quantum computation can be performed with any fixed two-body entangling N-qudit Hamiltonian, and local unitaries.

Western Images of Islam, 1700-1900

This paper traces fluctuating attitudes to Islam and its Prophet, particularly in the eighteenth and nineteenth. Western perceptions, as revealed by writers of the period, encyclopaedias, biographies and commentaries, were sometimes sympathetic, sometimes dismissive; sometimes celebrating Islam's piousness; sometimes accusing it of fraud. Sometimes Islam is seen as benign; sometimes its violence is seen as endemic. Often the cultural biases of western observers are obvious: the west is progressive and historically dominant, the east (and its cultural accoutrements) is degenerate and over-zealous. But we ought not judge religions or cultures by their worst manifestations alone. Oriental societies were never just Islamic or traditional. They comprise not only those who perpetuate oppressive practices towards women but also modernizers who seek change.