scholarly journals Error Mitigation for Deep Quantum Optimization Circuits by Leveraging Problem Symmetries

Author(s):  
Ruslan Shaydulin ◽  
Alexey Galda
Author(s):  
Kamaljit I. Lakhtaria ◽  
Vrunda Gadesha

When we aim to demonstrate that a programmable quantum device can solve complex problems which cannot be addressed by classic computers, this fundamental goal is known as quantum supremacy. This concept has changed every fundamental rule of computation. In this chapter, the detailed concept of quantum computing and quantum supremacy is explained along with various open source tools and real-time applications of this technology. The major base concepts, quantum computing, the difference between classical and quantum computer on physical level, programing quantum device, and the experiment-quantum supremacy are explained conceptually. This chapter also includes an introduction of the tools Cirq and OpenFermion plus the applications like quantum simulation, error mitigation technique, quantum machine learning, and quantum optimization, which are explained with illustrations.


2015 ◽  
Vol 93 (3) ◽  
pp. E376-E377
Author(s):  
T. Willoughby ◽  
S. Meeks ◽  
P. Kelly ◽  
T. Dvorak ◽  
K. Muller ◽  
...  

2021 ◽  
Vol 3 (3) ◽  
Author(s):  
Angus Lowe ◽  
Max Hunter Gordon ◽  
Piotr Czarnik ◽  
Andrew Arrasmith ◽  
Patrick J. Coles ◽  
...  

Author(s):  
Eric B. Jones ◽  
Eliot Kapit ◽  
Chin-Yao Chang ◽  
David Biagioni ◽  
Deepthi Vaidhynathan ◽  
...  

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Qi Gao ◽  
Gavin O. Jones ◽  
Mario Motta ◽  
Michihiko Sugawara ◽  
Hiroshi C. Watanabe ◽  
...  

AbstractA quantum chemistry study of the first singlet (S1) and triplet (T1) excited states of phenylsulfonyl-carbazole compounds, proposed as useful thermally activated delayed fluorescence (TADF) emitters for organic light emitting diode (OLED) applications, was performed with the quantum Equation-Of-Motion Variational Quantum Eigensolver (qEOM-VQE) and Variational Quantum Deflation (VQD) algorithms on quantum simulators and devices. These quantum simulations were performed with double zeta quality basis sets on an active space comprising the highest occupied and lowest unoccupied molecular orbitals (HOMO, LUMO) of the TADF molecules. The differences in energy separations between S1 and T1 (ΔEST) predicted by calculations on quantum simulators were found to be in excellent agreement with experimental data. Differences of 17 and 88 mHa with respect to exact energies were found for excited states by using the qEOM-VQE and VQD algorithms, respectively, to perform simulations on quantum devices without error mitigation. By utilizing state tomography to purify the quantum states and correct energy values, the large errors found for unmitigated results could be improved to differences of, at most, 4 mHa with respect to exact values. Consequently, excellent agreement could be found between values of ΔEST predicted by quantum simulations and those found in experiments.


2012 ◽  
Vol 12 (4) ◽  
pp. 1819-1829 ◽  
Author(s):  
Mohammad H. S. Amin ◽  
Neil G. Dickson ◽  
Peter Smith
Keyword(s):  

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