Ordered Measurements of Permutationally-Symmetric Qubit Strings

Details Ordered Measurements of Permutationally-Symmetric Qubit Strings Ordered Measurements of Permutationally-Symmetric Qubit Strings

2010-05-27

arxiv.org/abs/1005.5144v2

Journal of Physics A: Mathematical and Theoretical, vol. 44, 115301 (2011)

Physics

Mathematical Physics

13 pages

Scientific paper

10.1088/1751-8113/44/11/115301

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.

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