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Error Propagation in NISQ Devices for Solving Classical Optimization Problems

delete2022-12-05
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OA
AI
G
Guillermo González-García *
R
Rahul Trivedi
J
J. I. Cirac
DOI:10.1103/PRXQuantum.3.040326delete
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Abstract

Abstract

En 中文
We propose a random circuit model that attempts to capture the behavior of noisy intermediate-scale quantum devices when used for variationally solving classical optimization problems. Our model accounts for the propagation of arbitrary single-qubit errors through the circuit. We find that, even with a small noise rate, the quality of the obtained optima implies that a single-qubit error rate of 1/(nD) (where n is the number of qubits and D is the circuit depth) is needed for the possibility of a quantum advantage. We estimate that this translates to an error rate lower than 10-6 using the quantum approximate optimization algorithm for classical optimization problems with two-dimensional circuits.
Keywords:
QUANTUM SUPREMACY
CUT

Journal

P
PRX Quantum
IF:
11
Papers:
919
Citations:
9.0K

Organization

M
Max Planck Society
Scholars:
8.2W
Papers: 7.7W
Citations: 3.3W