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Practical variational tomography for critical one-dimensional systems

Lee, Jong Yeon and Landon-Cardinal, Olivier (2015) Practical variational tomography for critical one-dimensional systems. Physical Review A, 91 (6). Art. No. 062128. ISSN 1050-2947. doi:10.1103/PhysRevA.91.062128.

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We improve upon a recently introduced efficient quantum state reconstruction procedure targeted to states well approximated by the multiscale entanglement renormalization ansatz (MERA), e.g., ground states of critical models. We show how to numerically select a subset of experimentally accessible measurements which maximize information extraction about renormalized particles, thus dramatically reducing the required number of physical measurements. We numerically estimate the number of measurements required to characterize the ground state of the critical one-dimensional Ising (resp. XX) model and find that MERA tomography on 16-qubit (resp. 24-qubit) systems requires the same experimental effort as brute-force tomography on 8 qubits. We derive a bound computable from experimental data which certifies the distance between the experimental and reconstructed states.

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Additional Information:© 2015 American Physical Society. Received 10 December 2014; revised manuscript received 13 May 2015; published 30 June 2015. J.Y.L. acknowledges support from the Summer Undergraduate Research Fellowship (SURF) program at the California Institute of Technology. O.L.C. acknowledges funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation (Grants No. PHY-0803371 and No. PHY-1125565) and the Fonds de recherche Québec - Nature et Technologies (FRQNT). Both authors would like to thank Glen Evenbly for insightful discussions and numerical help and John Preskill for helpful comments throughout the project.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Fonds de recherche du Québe-Nature et technologies (FRQNT)UNSPECIFIED
Issue or Number:6
Classification Code:PACS number(s): 03.65.Wj, 03.67.Ac, 03.67.Mn
Record Number:CaltechAUTHORS:20150724-074526381
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:59000
Deposited By: Tony Diaz
Deposited On:24 Jul 2015 19:08
Last Modified:10 Nov 2021 22:13

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