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IEEE International Symposium on Signal Processing and Information Technology (ISSPIT)

Qiskit n-Bitstring Quantum Half-adder and Half-substractor

Alejandro Giraldo-Quintero, Daniel Sierra-Sosa, Juan Guillermo Lalinde Pulido

Published Dec 9, 2020• 1 citation
Publisher

Abstract

Quantum Computing fast development is leading to the emergence of a wide variety of software development frameworks. In general, in these frameworks users can implement quantum algorithms and circuits, evaluating their behavior through simulations, and in some cases, executing them on Noisy Intermediate-Scale Quantum (NISQ) devices. IBM has been a pioneer in this field, providing public access to their devices through the IBM Q Experience Platform, using Python's open-source framework Qiskit. In this paper, we present the development of a n-bitstring half-adder and half-subtractor algorithm in Qiskit, analyzing the behavior on the IBM Q Experience simulator and real quantum processors.

DOI
10.1109/isspit51521.2020.9408852

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Quantum Computing fast development is leading to the emergence of a wide variety of software development frameworks. In general, in these frameworks users can implement quantum algorithms and circuits, evaluating their behavior through simulations, and in some cases, executing them on Noisy Intermediate-Scale Quantum (NISQ) devices. IBM has been a pioneer in this field, providing public access to their devices through the IBM Q Experience Platform, using Python's open-source framework Qiskit. In this paper, we present the development of a n-bitstring half-adder and half-subtractor algorithm in Qiskit, analyzing the behavior on the IBM Q Experience simulator and real quantum processors.
Quantum computing is an emerging computational paradigm that represents and processes information using quantum states. This paper presents the implementation and simulation of a Quantum Half Adder using the IBM Qiskit framework. The proposed circuit performs one-bit binary addition and produces two outputs, SUM and CARRY, through reversible quantum operations. Classical input values are encoded into quantum states using Pauli-X gates. Controlled-NOT (CNOT) gates are used to realize the XOR relationship required for SUM generation, while a Toffoli (CCNOT) gate realizes the AND relationship required for CARRY generation. The complete design is implemented in Python and executed using the Qiskit Aer Simulator. Four possible input combinations are evaluated and the measured outputs are compared with the expected Half Adder truth table. Circuit visualization, terminal output, and measurement histograms are used to verify the operation. The results show that the simulated circuit produces the expected SUM and CARRY values for all input combinations. The work provides a simple practical model for understanding reversible quantum computation, quantum gates, and Qiskit-based quantum circuit simulation.
This paper explains the roadmap for running quantum circuit programs based on the Qiskit library in quantum simulators as well as real cloud-based IBM quantum computers. Qiskit is a free and open-source software development platform based on the Python programming language that is used in quantum programming. Qiskit acts as a link between quantum computing’s theoretical foundations and the practical aspects of programming and experimentation. It also allows users to experiment with and develop quantum algorithms, as well as simulate and execute them on simulators and real-world cloud-based quantum devices. It also simplifies the quantum programming process and allows a diverse range of people to participate in the exciting world of quantum computing. The paper, on the other hand, provides the mathematical foundation for analyzing quantum circuits and algorithms using linear algebra principles, as they provide the tools needed to describe and manipulate quantum states and operations. Furthermore, the paper shows quantum circuit design and implementation using real Qiskit codes.
Quantum computing has gained a lot of interest recently because of its claims of solving some problems that are almost impossible solving in classical computing.Prime factorization of big numbers using Shor's algorithm and Grover database search algorithm are two of them.Furthermore, quantum algorithms are developed to make it more realistic in real world.In classical computing the basic unit of computation is a bit which is in 0 or 1 state at a time, whereas in quantum computing it is called a qbit which can be 0 and 1 at the same time and we call it superposition.This paper proposes an implementation of quantum full adder using IBM quantum experience.Quantum circuits are drawn using Qiskit and run on Qiskit simulators, IBM quantum simulators and real IBM quantum machines.Proposed circuit will help in future for drawing more complex circuits and algorithms.
Quantum computing is being increasingly adopted for solving classically intractable problems across various domains. However, the availability of accessible and scalable software frameworks remains essential for practical experimentation and adoption. IBM's open-source quantum computing toolkit 'Qiskit' has become a key player in this space by offering tools for circuit design, simulation, hardware execution, and domain-specific applications. This survey provides a systematic review of how Qiskit has evolved and what it has contributed to several critical fields including cryptography and cybersecurity, image and signal processing, climate science and energy applications, and finance. We show how Qiskit facilitates hybrid classical-quantum workflows and enables the deployment of algorithms on physical quantum hardware through error mitigation and modular integration approaches. Our exploration covers several key applications, including quantum key distribution, climate simulation, and quantum-enhanced portfolio optimization, while providing practical insights into their implementation. This work also covers the framework's technical structure and current limitations associated with scalability and reproducibility. By bringing together developments that have been scattered across different areas, this work serves as a reference point for researchers and practitioners who want to understand or contribute to Qiskit-enabled quantum computing.
The advent of noisy intermediate-scale quantum (NISQ) technology is changing rapidly the landscape and modality of research in quantum physics.NISQ devices, such as the IBM Q Experience, have very recently proven their capability as experimental platforms accessible to everyone around the globe.Until now, IBM Q Experience processors have mostly been used for quantum computation and simulation of closed systems.Here, we show that these devices are also able to implement a great variety of paradigmatic open quantum systems models, hence providing a robust and flexible testbed for open quantum systems theory.During the last decade an increasing number of experiments have successfully tackled the task of simulating open quantum systems in different platforms, from linear optics to trapped ions, from nuclear magnetic resonance (NMR) to cavity quantum electrodynamics.Generally, each individual experiment demonstrates a specific open quantum system model, or at most a specific class.Our main result is to prove the great versatility of the IBM Q Experience processors.Indeed, we experimentally implement one and two-qubit open quantum systems, both unital and non-unital dynamics, Markovian and non-Markovian evolutions.Moreover, we realise proof-of-principle reservoir engineering for entangled state generation, demonstrate collisional models, and verify revivals of quantum channel capacity and extractable work, caused by memory effects.All these results are obtained using IBM Q Experience processors publicly available and remotely accessible online.
Abstract The advent of noisy intermediate-scale quantum (NISQ) technology is changing rapidly the landscape and modality of research in quantum physics. NISQ devices, such as the IBM Q Experience, have very recently proven their capability as experimental platforms accessible to everyone around the globe. Until now, IBM Q Experience processors have mostly been used for quantum computation and simulation of closed systems. Here, we show that these devices are also able to implement a great variety of paradigmatic open quantum systems models, hence providing a robust and flexible testbed for open quantum systems theory. During the last decade an increasing number of experiments have successfully tackled the task of simulating open quantum systems in different platforms, from linear optics to trapped ions, from nuclear magnetic resonance (NMR) to cavity quantum electrodynamics. Generally, each individual experiment demonstrates a specific open quantum system model, or at most a specific class. Our main result is to prove the great versatility of the IBM Q Experience processors. Indeed, we experimentally implement one and two-qubit open quantum systems, both unital and non-unital dynamics, Markovian and non-Markovian evolutions. Moreover, we realise proof-of-principle reservoir engineering for entangled state generation, demonstrate collisional models, and verify revivals of quantum channel capacity and extractable work, caused by memory effects. All these results are obtained using IBM Q Experience processors publicly available and remotely accessible online.