Characterizing errors for quantum Fourier transform on IBM quantum



Document title: Characterizing errors for quantum Fourier transform on IBM quantum
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000460806
ISSN: 0035-001X
Authors: 1
1
1
Institutions: 1Universidad ORT, Facultad de Ingeniería, Montevideo. Uruguay
Year:
Season: May-Jun
Volumen: 68
Number: 3
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract Abstrac The performance of today’s quantum computers are affected by noise. This effect can be analyzed in the result of simple quantum algorithms in real quantum computers. The noise can be characterized as a decoherence error or a systematic error, the last could be corrected by a unitary rotation. In this article we propose two methods to model a systematic error, in the Quantum Fourier Transform algorithm (QFT). The first method uses the isotropic index presented in [1] and needs to reconstruct the density matrix of the experimental state, while the second method, although less general, only needs to reconstruct the reduced density matrices for each qubit. In both methods, a unitary transformation is proposed, which approximates the experimental result to the expected theoretical state. As an example, the QFT algorithm is analyzed for two qubit states, in quantum IBM Q computer ibmq_santiago
Disciplines: Física y astronomía
Keyword: Física,
Transformada cuántica de Fourier,
Corrección de error cuántico,
IBM quantum
Keyword: Physics,
Quantum Fourier transform,
Quantum error correction,
IBM quantum
Full text: Texto completo (Ver HTML) Texto completo (Ver PDF)