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Quantum computing of quantum chaos and imperfection effects
1Max-Planck-Institut für Physik Komplexer Systeme, Dresden, Germany.
Physical Review Letters
|April 6, 2001
Summary
Quantum computing errors in the kicked rotator model show both exponential and polynomial growth with increasing qubits. These findings offer insights into quantum computation imperfections and classical error similarities.
Area of Science:
- Quantum Physics
- Computational Science
- Chaos Theory
Background:
- The kicked rotator model is a fundamental system for studying classical and quantum chaos.
- Understanding error propagation is crucial for developing fault-tolerant quantum computers.
Purpose of the Study:
- To numerically investigate the impact of imperfections on quantum computations within the kicked rotator model.
- To characterize the scaling of quantum computation errors with the number of qubits.
Main Methods:
- Numerical simulations of the kicked rotator model.
- Analysis of error growth patterns based on varying qubit numbers.
Main Results:
- Identified two distinct types of error growth: exponential and polynomial, dependent on physical characteristics.
- Quantum computation errors exhibit exponential scaling with the number of qubits for certain properties.
- Other properties show polynomial error growth concerning the number of qubits.
Conclusions:
- Imperfections significantly affect quantum computations, leading to diverse error scaling behaviors.
- The study highlights similarities between classical and quantum computing errors in this model.
- Findings contribute to understanding error dynamics in quantum computing.