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We introduce SudoQ, a quantum version of the classical game Sudoku. Allowing the entries of the grid to be (non-commutative) projections instead of integers, the solution set of SudoQ puzzles can be much larger than in the classical (commutative) setting. We introduce and analyze a randomized algorithm for computing solutions of SudoQ puzzles. Finally, we state two important conjectures relating the quantum and the classical solutions of SudoQ puzzles, corroborated by analytical and numerical evidence.
We introduce a quantum version of the Game of Life and we use it to study the emergence of complexity in a quantum world. We show that the quantum evolution displays signatures of complex behaviour similar to the classical one, however a regime exist
The Systematic Normal Form (SysNF) is a canonical form of lattices introduced in [Eldar,Shor 16], in which the basis entries satisfy a certain co-primality condition. Using a smooth analysis of lattices by SysNF lattices we design a quantum algorithm
The aim of this note is to give a short and popular review of the ideas which led to my model of magnetic monopoles (hep-ph/9708394) and my prediction of the second kind of electromagnetic radiation. I will also point out the many and far-reaching co
We investigate the quantum dynamics of a spin chain that implements a quantum analog of Conways game of life. We solve the time-dependent Schrodinger equation starting with initial separable states and analyse the evolution of quantum correlations ac
Nonlocal game as a novel witness of the nonlocality of entanglement is of fundamental importance in various fields. The known nonlocal games or equivalent linear Bell inequalities are only useful for Bell networks of single entanglement. Our goal in