scholarly journals Fault-Tolerant Quantum Simulations of Chemistry in First Quantization

PRX Quantum ◽  
2021 ◽  
Vol 2 (4) ◽  
Author(s):  
Yuan Su ◽  
Dominic W. Berry ◽  
Nathan Wiebe ◽  
Nicholas Rubin ◽  
Ryan Babbush
Keyword(s):  
Fault Tolerant ◽  
Quantum Simulations

scholarly journals Improved Fault-Tolerant Quantum Simulation of Condensed-Phase Correlated Electrons via Trotterization

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 296 ◽  
Author(s):  
Ian D. Kivlichan ◽  
Craig Gidney ◽  
Dominic W. Berry ◽  
Nathan Wiebe ◽  
Jarrod McClean ◽  
...  
Keyword(s):  
Condensed Phase ◽  
Fault Tolerant ◽  
Error Rates ◽  
Correlated Electrons ◽  
Quantum Simulations ◽  
Correlated Electron ◽  
Split Operator ◽  
Electron Models ◽  
Surface Code ◽  
The Cost

Recent work has deployed linear combinations of unitaries techniques to reduce the cost of fault-tolerant quantum simulations of correlated electron models. Here, we show that one can sometimes improve upon those results with optimized implementations of Trotter-Suzuki-based product formulas. We show that low-order Trotter methods perform surprisingly well when used with phase estimation to compute relative precision quantities (e.g. energies per unit cell), as is often the goal for condensed-phase systems. In this context, simulations of the Hubbard and plane-wave electronic structure models with N<105 fermionic modes can be performed with roughly O(1) and O(N2) T complexities. We perform numerics revealing tradeoffs between the error and gate complexity of a Trotter step; e.g., we show that split-operator techniques have less Trotter error than popular alternatives. By compiling to surface code fault-tolerant gates and assuming error rates of one part per thousand, we show that one can error-correct quantum simulations of interesting, classically intractable instances with a few hundred thousand physical qubits.

Fault tolerant Automotive CAN Control Embedded System

2012 ◽  
Vol 2 (1) ◽  
pp. 57-59
Author(s):  
Balachandra Pattanaik ◽  
◽  
Dr S. Chandrasekaran Dr S. Chandrasekaran
Keyword(s):  
Embedded System ◽  
Fault Tolerant

A Study on Zero Assignment by Fault Tolerant Stability Control

2016 ◽  
Vol 136 (2) ◽  
pp. 143-156 ◽  
Author(s):  
Katsuhiko Fuwa ◽  
Tatsuo Narikiyo ◽  
Tatsushi Ooba
Keyword(s):  
Fault Tolerant ◽  
Stability Control
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