A physical system which can be forced to execute an arbitrary unitary transformation, and its use to perform arbitrary tests

It is shown that a system of N spin‐(1/2) magnets can be constructed so freely manipulable that an experimenter can impose any unitary transformation upon its state space, N any positive integer. This is then used with N ≥ b − 1 + 2 log2 n to construct arbitrary states over an n‐dimensional Hilbert...

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Veröffentlicht in:Journal of mathematical physics 1974-06, Vol.15 (6), p.673-674
1. Verfasser: Lubkin, Elihu
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description It is shown that a system of N spin‐(1/2) magnets can be constructed so freely manipulable that an experimenter can impose any unitary transformation upon its state space, N any positive integer. This is then used with N ≥ b − 1 + 2 log2 n to construct arbitrary states over an n‐dimensional Hilbert space and to perform arbitrary b‐tests upon these states.
doi_str_mv 10.1063/1.1666709
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title A physical system which can be forced to execute an arbitrary unitary transformation, and its use to perform arbitrary tests
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