Ordered measurements of permutationally-symmetric qubit strings

DOI10.1088/1751-8113/44/11/115301zbMATH Open1210.81012arXiv1005.5144OpenAlexW2047752464WikidataQ59441029 ScholiaQ59441029MaRDI QIDQ3085243

Alexander Hentschel, B. C. Sanders

Publication date: 31 March 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: We show that any sequence of measurements on a permutationally-symmetric (pure or mixed) multi-qubit string leaves the unmeasured qubit substring also permutationally-symmetric. In addition, we show that the measurement probabilities for an arbitrary sequence of single-qubit measurements are independent of how many unmeasured qubits have been lost prior to the measurement. Our results are valuable for quantum information processing of indistinguishable particles by post-selection, e.g. in cases where the results of an experiment are discarded conditioned upon the occurrence of a given event such as particle loss. Furthermore, our results are important for the design of adaptive-measurement strategies, e.g. a series of measurements where for each measurement instance, the measurement basis is chosen depending on prior measurement results.

Full work available at URL: https://arxiv.org/abs/1005.5144

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

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