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Title: Spectrum and coherence properties of the current-mirror qubit

Abstract

The current-mirror circuit exhibits a robust ground-state degeneracy and wave functions with disjoint support for appropriate circuit parameters. In this protected regime, Cooper-pair excitons form the relevant low-energy excitations. Based on a full circuit analysis of the current-mirror device, we introduce an effective model that systematically captures the relevant low-energy degrees of freedom, and is amenable to diagonalization using Density Matrix Renormalization Group (DMRG) methods. We find excellent agreement between DMRG and exact diagonalization, and can push DMRG simulations to much larger circuit sizes than feasible for exact diagonalization. Here, we discuss the spectral properties of the current-mirror circuit, and predict coherence times exceeding 1 ms in parameter regimes believed to be within reach of experiments.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3];  [1]
  1. Northwestern Univ., Evanston, IL (United States)
  2. Northwestern Univ., Evanston, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  3. Northrop Grumman Corporation, Linthicum, MD (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); US Army Research Office (ARO)
OSTI Identifier:
1606227
Report Number(s):
arXiv:1908.04615; FERMILAB-PUB-19-660-QIS
Journal ID: ISSN 2469-9950; PRBMDO; oai:inspirehep.net:1774545; TRN: US2104487
Grant/Contract Number:  
AC02-07CH11359; W911NF-17-C0024
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 22; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; quantum computation; superconductivity; superconducting qubits; density matrix renormalization group

Citation Formats

Weiss, D. K., Li, Andy C. Y., Ferguson, D. G., and Koch, Jens. Spectrum and coherence properties of the current-mirror qubit. United States: N. p., 2019. Web. doi:10.1103/physrevb.100.224507.
Weiss, D. K., Li, Andy C. Y., Ferguson, D. G., & Koch, Jens. Spectrum and coherence properties of the current-mirror qubit. United States. https://doi.org/10.1103/physrevb.100.224507
Weiss, D. K., Li, Andy C. Y., Ferguson, D. G., and Koch, Jens. Sun . "Spectrum and coherence properties of the current-mirror qubit". United States. https://doi.org/10.1103/physrevb.100.224507. https://www.osti.gov/servlets/purl/1606227.
@article{osti_1606227,
title = {Spectrum and coherence properties of the current-mirror qubit},
author = {Weiss, D. K. and Li, Andy C. Y. and Ferguson, D. G. and Koch, Jens},
abstractNote = {The current-mirror circuit exhibits a robust ground-state degeneracy and wave functions with disjoint support for appropriate circuit parameters. In this protected regime, Cooper-pair excitons form the relevant low-energy excitations. Based on a full circuit analysis of the current-mirror device, we introduce an effective model that systematically captures the relevant low-energy degrees of freedom, and is amenable to diagonalization using Density Matrix Renormalization Group (DMRG) methods. We find excellent agreement between DMRG and exact diagonalization, and can push DMRG simulations to much larger circuit sizes than feasible for exact diagonalization. Here, we discuss the spectral properties of the current-mirror circuit, and predict coherence times exceeding 1 ms in parameter regimes believed to be within reach of experiments.},
doi = {10.1103/physrevb.100.224507},
journal = {Physical Review B},
number = 22,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

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