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 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.
In recent years, quantum computers have attracted extensive research interests due to their potential capability of solving problems which are not easily solvable using classical computers. In parallel to the constant research aiming at the physical implementation of quantum processors, there is another branch of research developing quantum algorithms for real-life applications, many of which need to perform arithmetic operations. As one of the most important operations, quantum addition has been adopted in Shor's algorithm, quantum linear algebra algorithms and various quantum machine learning applications. Since precision is always a non-trivial issue to determine during the computation, most-significant digit-first quantum addition can be a fundamental operation for variable precision computing. Therefore, this paper proposes the first quantum adder circuit that is able to compute from the most-significant digits, which demonstrates the advantages over the state-of-the-art quantum adders requiring carry propagation to produce results from least-significant digits. We first present a review of quantum addition circuits design, and then propose a novel method to implement quantum most-significant digit-first adders. Scalability and quantitative comparisons for different quantum full adder, quantum carry-ripple adder and quantum most-significant digit-first adder circuits have been investigated, where all circuits are implemented on IBM Qiskit SDK.
Quantum computing has been considered as an emerging approach in addressing problems which are not easily solvable using classical computers. In parallel to the physical implementation of quantum processors, quantum algorithms have been actively developed for real-life applications to show quantum advantages, many of which benefit from quantum arithmetic algorithms and their efficient implementations. As one of the most important operations, quantum addition has been adopted in Shor's algorithm and quantum linear algebra algorithms. Although various least-significant digit-first quantum adders have been introduced in previous work, interest in investigating the efficient implementation of most-significant digit-first addition is growing. In this work, we propose a novel design method for most-significant digit-first addition with several quantum circuit optimisations to reduce the number of quantum bits (i.e. qubits), quantum gates, and circuit depth. An open-source library of different arithmetic operators based on our proposed method is presented, where all circuits are implemented on IBM Qiskit SDK. Extensive experiments demonstrate that our proposed design, together with the optimisation techniques, reduces T-depth by up-to 4.0×, T-count by 3.5×, and qubit consumption by 1.2×.
This paper presents the generalized implementation of the quantum circuit utilized in Shor’s algorithm, which was simulated using the quantum simulator offered by IBM. Shor’s Algorithm is a ground-breaking Quantum Algorithm that works on Integer Factorization; for a classical computer, the following task would require an exponential amount of time, whereas a Quantum Computer running Shor’s Algorithm would only require Polynomial-time. Using the principles of Quantum Superposition and Quantum Entanglement, the algorithm demonstrates the potential of quantum computing to solve complex mathematical problems efficiently. Experimental results show the effectiveness of the implemented algorithm in Integer Factorization and discrete logarithm, disturbing the safety of major encryption algorithms. This paper contributes to advancing the understanding and practical application of quantum algorithms in real-world scenarios.
Recent advancements in computing speed and capacity of Artificial Intelligence (AI) algorithms have reached a saturation level in performance due to the continuous application of Moore's law which resulted in the memory wall phenomenon. Quantum computing (QC), based on the principles of quantum mechanics which include superposition and entanglement, has the potential to contribute to the advancements of AI by providing exponential speedup. Quantum computers use quantum bits, also known as qubits, as the metric to demonstrate the power of quantum technology. Qubits, the fundamental unit of quantum information can exist in two states, 0 and 1, simultaneously, leveraging the principle of superposition. Quantum gates are the building blocks of quantum circuits, operating on qubits to transform one quantum state into another, and are comparative to classical logic gates. Designing and simulating quantum circuits can be completed using the Qiskit library design by IBM. Qiskit is a cloud-based, open access platform to real quantum computers with 5 to 16 qubits. This paper offers a straightforward tutorial on implementing one, two and three-qubit quantum gates, as well as designing quantum circuits using the Qiskit library, illustrated with an example of a quantum half adder implementation.
Although the fundamental principles of quantum computing have been known for decades, it is only within the past few years that practical quantum computers have become available. Since these systems are limited to a small number of qubits, they cannot demonstrate quantum advantage for many practical problems. Accordingly, there has been an effort to develop near term implementations of algorithms purely for research and education. In this paper, we discuss a near term implementation of Shor's Algorithm using the Qiskit language on an IBM Q System One quantum computer. We extend currently available documentation by providing a full circuit diagram for Shor's Algorithm including gates specific to the implementation using Qiskit. We present an implementation capable of factoring small two-digit prime numbers, and discuss the limitations of noise when using real quantum computers vs. simulations.
This article demonstrates a quantum calculator by experimentally simulating and performing basic arithmetic operations, namely addition, subtraction, multiplication, division on real quantum devices using the IBM Quantum Experience (IBM QE) platform. Two addition algorithms are considered, the classical version, using the Toffoli gate, and using the quantum Fourier transform (QFT). In particular summation with QFT saves memory and time. The task of the work is to build a quantum circuit that performs arithmetic operations between the binary representation of two integers. We then propose a quantum algorithm for converting decimal to binary. This method also allows for massive parallelization during its execution. The addition, subtraction, multiplication, and division functions based on QFT have been improved with some changes. The proposed operations are compared with the closest quantum arithmetic operations. Therefore, we can implement a practical quantum calculator by performing operations on a real quantum computer. The circuits are defined as a kind of quantum adder using a quantum Fourier transform, implemented in Qiskit and demonstrated on one or two copies.