ar X iv : h ep - t h / 01 10 20 5 v 1 22 O ct 2 00 1 Measurability of Wilson loop operators ∗

نویسندگان

  • David Beckman
  • Daniel Gottesman
  • Alexei Kitaev
  • John Preskill
چکیده

We show that the nondemolition measurement of a spacelike Wilson loop operator W (C) is impossible in a relativistic non-Abelian gauge theory. In particular, if two spacelikeseparated magnetic flux tubes both link with the loop C, then a nondemolition measurement of W (C) would cause electric charge to be transferred from one flux tube to the other, a violation of relativistic causality. A destructive measurement of W (C) is possible in a non-Abelian gauge theory with suitable matter content. In an Abelian gauge theory, many cooperating parties distributed along the loop C can perform a nondemolition measurement of the Wilson loop operator if they are equipped with a shared entangled ancilla that has been prepared in advance. We also note that Abelian electric charge (but not non-Abelian charge) can be transported superluminally, without any accompanying transmission of information.

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تاریخ انتشار 2005