Chiral quantum walks
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PhysRevA.93.042302.pdf
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Author(s) • • • • • • • • •
Lu, Dawei
Biamonte, Jacob D.
Li, Jun
Li, Hang
Johnson, Tomi H.
Bergholm, Ville
Faccin, Mauro
Laflamme, Raymond
Baugh, Jonathan
Lloyd, Seth
Date Issued
April 2016
Journal
Physical Review A
Publisher
American Physical Society
Citation
Lu, Dawei, Jacob D. Biamonte, Jun Li, Hang Li, Tomi H. Johnson, Ville Bergholm, Mauro Faccin, et al. “Chiral Quantum Walks.” Physical Review A 93, no. 4 (April 1, 2016). © 2016 American Physical Society
Version
Final published version
Abstract
Given its importance to many other areas of physics, from condensed-matter physics to thermodynamics, time-reversal symmetry has had relatively little influence on quantum information science. Here we develop a network-based picture of time-reversal theory, classifying Hamiltonians and quantum circuits as time symmetric or not in terms of the elements and geometries of their underlying networks. Many of the typical circuits of quantum information science are found to exhibit time asymmetry. Moreover, we show that time asymmetry in circuits can be controlled using local gates only and can simulate time asymmetry in Hamiltonian evolution. We experimentally implement a fundamental example in which controlled time-reversal asymmetry in a palindromic quantum circuit leads to near-perfect transport. Our results pave the way for using time-symmetry breaking to control coherent transport and imply that time asymmetry represents an omnipresent yet poorly understood effect in quantum information science.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.93.042302