6 papers
Detection of patterns in a discrete-outcome sensor network
Pranjal Agarwal, Nada Ali, Mark Hillery
A discrete outcome quantum sensor network is one in which we are only interested in which detectors are activated. This can be studied in either the strong or weak interaction regi…
Slope gap distribution of the double heptagon and an algorithm for determining winning vectors
Fernando Al Assal, Nada Ali, Uma Arengo +4
In this paper, we study the distribution of renormalized gaps between slopes of saddle connections on translation surfaces. Specifically, we describe a procedure for finding the "w…
Interference and Measurement: Changing amplitude phase information to amplitude magnitude information
Pranjal Agarwal, Nada Ali, Mark Hillery
There are quantum procedures that encode the solutions to a problem in the phases of quantum amplitudes. This happens in some quantum optimization algorithms in which the value of…
State learning from pairs of states
Pranjal Agarwal, Nada Ali, Camilla Polvara +3
Suppose you receive a sequence of qubits where each qubit is guaranteed to be in one of two pure states, but you do not know what those states are. Your task is to determine the st…
Discrete-outcome sensor networks: Multiple detection events and grouping detectors
Nada Ali, Mark Hillery
Quantum sensor networks have often been studied in order to determine how accurately they can determine a parameter, such as the strength of a magnetic field, at one of the detecto…
Two entanglement conditions and their connection to negativity
Mark Hillery, Camilla Polvara, Vadim Oganesyan +1
We examine two conditions that can be used to detect bipartite entanglement, and show that they can be used to provide lower bounds on the negativity of states. We begin with two-q…