Unambiguous quantum state elimination for qubit sequences

Crickmore, J., Puthoor, I. V., Ricketti, B., Croke, S. , Hillery, M. and Andersson, E. (2020) Unambiguous quantum state elimination for qubit sequences. Physical Review Research, 2, 013256. (doi: 10.1103/PhysRevResearch.2.013256)

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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 of a quantum system is rather than what it is not. Apart from being of fundamental interest, quantum state elimination may find uses in quantum communication and quantum cryptography. We consider unambiguous quantum state elimination for two or more qubits, where each qubit can be in one of two possible states. Optimal measurements for eliminating one and two states out of four two-qubit states are given. We also prove that if we want to maximize the average number of eliminated overall N -qubit states, then individual measurements on each qubit are optimal.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Croke, Dr Sarah
Authors: Crickmore, J., Puthoor, I. V., Ricketti, B., Croke, S., Hillery, M., and Andersson, E.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review Research
Publisher:American Physical Society
ISSN (Online):2643-1564
Copyright Holders:Copyright © 2020 the American Physical Society
First Published:First published in Physical Review Research 2:013256
Publisher Policy:Reproduced under a Creative Commons License

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