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Decoherence of Anyonic Charge in Interferometry Measurements

Bonderson, Parsa and Shtengel, Kirill and Slingerland, J. K. (2007) Decoherence of Anyonic Charge in Interferometry Measurements. Physical Review Letters, 98 (7). Art. No. 070401. ISSN 0031-9007. doi:10.1103/PhysRevLett.98.070401.

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We examine interferometric measurements of the topological charge of (non-Abelian) anyons. The target's topological charge is measured from its effect on the interference of probe particles sent through the interferometer. We find that superpositions of distinct anyonic charges a and a[prime] in the target decohere (exponentially in the number of probes particles used) when the probes have nontrivial monodromy with the charges that may be fused with a to give a[prime].

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Additional Information:©2007 The American Physical Society (Received 8 September 2006; published 12 February 2007) We thank A. Kitaev, I. Klich, and especially J. Preskill for illuminating discussions, and the organizers and participants of the KITP Workshop on Topological Phases and Quantum Computation where this work was initiated. We would also like to acknowledge the hospitality of the IQI, the KITP, and Microsoft Project Q. This work was supported in part by the NSF under Grants No. PHY-0456720 and No. PHY99-07949, and the NSA under ARO Contract No. W911NF-05-1-0294.
Issue or Number:7
Record Number:CaltechAUTHORS:BONprl07
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7462
Deposited By: Archive Administrator
Deposited On:21 Feb 2007
Last Modified:08 Nov 2021 20:43

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