Distinguishing decoherence from alternative quantum theories by dynamical decoupling

Christian Arenz, Robin Hillier, Martin Fraas, and Daniel Burgarth
Phys. Rev. A 92, 022102 – Published 3 August 2015

Abstract

A long-standing challenge in the foundations of quantum mechanics is the verification of alternative collapse theories despite their mathematical similarity to decoherence. To this end, we suggest a method based on dynamical decoupling. Experimental observation of nonzero saturation of the decoupling error in the limit of fast-decoupling operations can provide evidence for alternative quantum theories. The low decay rates predicted by collapse models are challenging, but high-fidelity measurements as well as recent advances in decoupling schemes for qubits let us explore a similar parameter regime to experiments based on macroscopic superpositions. As part of the analysis we prove that unbounded Hamiltonians can be perfectly decoupled. We demonstrate this on a dilation of a Lindbladian to a fully Hamiltonian model that induces exponential decay.

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  • Received 26 June 2014
  • Revised 27 April 2015

DOI:https://doi.org/10.1103/PhysRevA.92.022102

©2015 American Physical Society

Authors & Affiliations

Christian Arenz1, Robin Hillier2, Martin Fraas3, and Daniel Burgarth1

  • 1Institute of Mathematics, Physics, and Computer Science, Aberystwyth University, Aberystwyth SY23 2BZ, United Kingdom
  • 2Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, United Kingdom
  • 3Mathematisches Institut der Universität München, Theresianstrasse 39, D-80333 München, Germany

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Vol. 92, Iss. 2 — August 2015

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