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Finding structural anomalies in graphs by means of quantum walks
Edgar Feldman, Mark Hillery, Hai-Woong Lee +3
We explore the possibility of using quantum walks on graphs to find structural anomalies, such as extra edges or loops, on a graph. We focus our attention on star graphs, whose edg…
Quantum algorithms for testing Boolean functions
Dominik F. Floess, Erika Andersson, Mark Hillery
We discuss quantum algorithms, based on the Bernstein-Vazirani algorithm, for finding which variables a Boolean function depends on. There are 2^n possible linear Boolean functions…
Conditions for entanglement in multipartite systems
Mark Hillery, Ho Trung Dung, Hongjun Zheng
We introduce two entanglement conditions that take the form of inequalities involving expectation values of operators. These conditions are sufficient conditions for entanglement,…
Application of entanglement conditions to spin systems
Hongjun Zheng, Ho Trung Dung, Mark Hillery
There have been numerous studies of entanglement in spin systems. These have usually focussed on examining the entanglement between individual spins or determining whether the stat…