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Year 2024, Volume: 32, 406 - 416, 30.12.2024
https://doi.org/10.55549/epstem.1604685

Abstract

References

  • Jaradat, Y., Masoud, M., Mansrah, A., Jannoud, I., & Alia, M. (2024). Phases unlocked: The crucial role of Qubit phases in quantum computing. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 32, 406-416.

Phases Unlocked: The Crucial Role of Qubit Phases in Quantum Computing

Year 2024, Volume: 32, 406 - 416, 30.12.2024
https://doi.org/10.55549/epstem.1604685

Abstract

Quantum computing applies quantum physics ideas to problems that traditional computers cannot address. The qubit, or quantum equivalent of the classical bit, is fundamental to this paradigm shift. Unlike its classical equivalent, a qubit can exist in a superposition of states, representing both 0 and 1. This superposition is defined not only by magnitudes, but also by important phase variables. These phases have a significant impact on qubit behavior and quantum computation outputs. This work conducts a thorough investigation of qubit phases, exploring their tremendous impact on the efficacy and capabilities of quantum algorithms. We investigate how constructive and destructive interference caused by phase interactions provides the foundation of quantum algorithms. Furthermore, we look into the intricate role of phases in establishing and managing entanglement, a unique quantum phenomenon that allows tremendous interactions between qubits. Our investigation includes the effects of numerous quantum operations on qubit phases. We present a thorough mathematical framework for describing how typical quantum gates, such as Hadamard, Pauli, and phase-shift gates, change the phase and thus the overall state of a qubit. We show these concepts through actual implementations of the Qiskit library. Finally, we discuss the intrinsic difficulty of managing and monitoring qubit phases, particularly the negative impacts of decoherence, which disrupts the delicate phase relationships. We describe tactics for mitigating these obstacles and investigate techniques for extracting phase information indirectly, such as quantum state tomography and interferometry. This comprehensive study seeks to provide a better understanding of the critical role phases play in quantum computing, paving the way for advances in algorithm design, quantum control, and the development of fault-tolerant quantum computers.

References

  • Jaradat, Y., Masoud, M., Mansrah, A., Jannoud, I., & Alia, M. (2024). Phases unlocked: The crucial role of Qubit phases in quantum computing. The Eurasia Proceedings of Science, Technology, Engineering & Mathematics (EPSTEM), 32, 406-416.
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Details

Primary Language English
Subjects Classical Physics (Other)
Journal Section Articles
Authors

Yousef Jaradat

Mohammad Masoud

Ahmad Mansrah

Ismael Jannoud

Mohammad Alia

Early Pub Date December 21, 2024
Publication Date December 30, 2024
Submission Date May 24, 2024
Acceptance Date August 9, 2024
Published in Issue Year 2024Volume: 32

Cite

APA Jaradat, Y., Masoud, M., Mansrah, A., Jannoud, I., et al. (2024). Phases Unlocked: The Crucial Role of Qubit Phases in Quantum Computing. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 32, 406-416. https://doi.org/10.55549/epstem.1604685