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arXiv · 0710.2952

The "mean king's problem" with continuous variables

Alonso Botero·Yakir Aharonov
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Abstract

We present the solution to the "mean king's problem" in the continuous variable setting. We show that in this setting, the outcome of a randomly-selected projective measurement of any linear combination of the canonical variables x and p can be ascertained with arbitrary precision. Moreover, we show that the solution is in turn a solution to an associated "conjunctive" version of the problem, unique to continuous variables, where the inference task is to ascertain all the joint outcomes of a simultaneous measurement of any number of linear combinations of x and p.

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Alonso Botero, Yakir Aharonov. 2007-10-16. The "mean king's problem" with continuous variables. https://arxiv.org/abs/0710.2952

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