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Measurability of Wilson loop operators | | David Beckman
; Daniel Gottesman
; Alexei Kitaev
; John Preskill
; | | Date: |
22 Oct 2001 | | Journal: | Phys.Rev. D65 (2002) 065022 | | Subject: | hep-th gr-qc hep-lat quant-ph | | Abstract: | 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 spacelike-separated 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. | | Source: | arXiv, hep-th/0110205 | | Services: | Forum | Review | PDF | Favorites | |
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