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Constructing a qubit POVM from quantum data
Mark Hillery
Given an ensemble of qubits, which we are told consists of a mixture of two pure states, one with probability and one with probability , we want to find a POVM that…
Finding more than one path through a simple maze with a quantum walk
Mark Hillery
We study quantum walks through chains consisting of two and three star graphs. The first star has a distinguished vertex labelled START and the last has one labelled END. There are…
Wave-particle duality relations based on entropic bounds for which-way information
Emilio Bagan, Janos A. Bergou, Mark Hillery
We present wave-particle duality relations involving the relative entropy coherence measure, which plays a prominent role in the resource theory of coherence. The main input in the…
Unambiguous quantum state elimination for qubit sequences
Jonathan Crickmore, Ittoop Vergheese Puthoor, Berke Ricketti +3
Quantum state elimination measurements tell us what states a quantum system does not have. This is different from state discrimination, where one tries to determine what the state…
A group-theoretic approach to elimination measurements of qubit sequences
Mark Hillery, Erika Andersson, Ittoop Vergheese
Most measurements are designed to tell you which of several alternatives have occurred, but it is also possible to make measurements that eliminate possibilities and tell you an al…