scholarly journals Measurement of energy decay in superconducting qubits from nonequilibrium quasiparticles

2011 ◽  
Vol 84 (2) ◽  
Author(s):  
M. Lenander ◽  
H. Wang ◽  
Radoslaw C. Bialczak ◽  
Erik Lucero ◽  
Matteo Mariantoni ◽  
...  
2013 ◽  
Vol 110 (15) ◽  
Author(s):  
J. Wenner ◽  
Yi Yin ◽  
Erik Lucero ◽  
R. Barends ◽  
Yu Chen ◽  
...  

2021 ◽  
Vol 118 (23) ◽  
pp. 232602
Author(s):  
C. R. Conner ◽  
A. Bienfait ◽  
H.-S. Chang ◽  
M.-H. Chou ◽  
É. Dumur ◽  
...  

Nature ◽  
2021 ◽  
Vol 595 (7867) ◽  
pp. 383-387
Author(s):  
◽  
Zijun Chen ◽  
Kevin J. Satzinger ◽  
Juan Atalaya ◽  
Alexander N. Korotkov ◽  
...  

AbstractRealizing the potential of quantum computing requires sufficiently low logical error rates1. Many applications call for error rates as low as 10−15 (refs. 2–9), but state-of-the-art quantum platforms typically have physical error rates near 10−3 (refs. 10–14). Quantum error correction15–17 promises to bridge this divide by distributing quantum logical information across many physical qubits in such a way that errors can be detected and corrected. Errors on the encoded logical qubit state can be exponentially suppressed as the number of physical qubits grows, provided that the physical error rates are below a certain threshold and stable over the course of a computation. Here we implement one-dimensional repetition codes embedded in a two-dimensional grid of superconducting qubits that demonstrate exponential suppression of bit-flip or phase-flip errors, reducing logical error per round more than 100-fold when increasing the number of qubits from 5 to 21. Crucially, this error suppression is stable over 50 rounds of error correction. We also introduce a method for analysing error correlations with high precision, allowing us to characterize error locality while performing quantum error correction. Finally, we perform error detection with a small logical qubit using the 2D surface code on the same device18,19 and show that the results from both one- and two-dimensional codes agree with numerical simulations that use a simple depolarizing error model. These experimental demonstrations provide a foundation for building a scalable fault-tolerant quantum computer with superconducting qubits.


2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Fengyun Zhang

This paper considers the fuzzy viscoelastic model with a nonlinear source u t t + L u + ∫ 0 t g t − ζ Δ u ζ d ζ − u γ u − η Δ u t = 0 in a bounded field Ω. Under weak assumptions of the function g t , with the aid of Mathematica software, the computational technique is used to construct the auxiliary functionals and precise priori estimates. As time goes to infinity, we prove that the solution is global and energy decays to zero in two different ways: the exponential form and the polynomial form.


2020 ◽  
Vol 2 (1) ◽  
Author(s):  
K. S. Christensen ◽  
S. E. Rasmussen ◽  
D. Petrosyan ◽  
N. T. Zinner

Author(s):  
Argenis J. Mendez ◽  
Claudio Muñoz ◽  
Felipe Poblete ◽  
Juan C. Pozo

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