Analyzing Surface Code as Error Correction Method for Quantum Gate Translation of a Classical Arithmetic Logic Unit (ALU) in the Presence of Depolarizing Noise
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Abstract
Quantum computing holds promise, but maintaining quantum information integrity is challenging. This study evaluates surface codes for error correction in a quantum ALU using IBM Qiskit. Simulations under depolarizing noise show surface codes reduce errors and enhance accuracy. For the NAND Gate, state |1⟩error dropped from 18.57% to 10.78% and state |0⟩from 56.3% to 32.68%. For the NOR Gate, state |0⟩error fell from 23.38% to 6.62% and state |1⟩from 70.87% to 20.08%. For the XNOR Gate, errors for states |0⟩and |1⟩decreased from 5.08% to 2.54%. For the Full Adder, state |00⟩error decreased from 99.19% to 83.74% and state |10⟩from 31.3% to 22.02%, but increased for states |01⟩ from 17.63% to 22.11% and |11⟩ from 43.75% to 44.44% due to the added complexity of the circuit. This advancement in fault-tolerant quantum computing paves the way for solving problems beyond the capabilities of classical computing.
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