scholarly journals Introduction to Quantum Gates : Implementation of Single and Multiple Qubit Gates

Author(s):  
Ropa Roy ◽  
Asoke Nath

A quantum gate or quantum logic gate is an elementary quantum circuit working on a small number of qubits. It means that quantum gates can grasp two primary feature of quantum mechanics that are entirely out of reach for classical gates : superposition and entanglement. In simpler words quantum gates are reversible. In classical computing sets of logic gates are connected to construct digital circuits. Similarly, quantum logic gates operates on input states that are generally in superposition states to compute the output. In this paper the authors will discuss in detail what is single and multiple qubit gates and scope and challenges in quantum gates.

1997 ◽  
Vol 11 (18) ◽  
pp. 2207-2215
Author(s):  
Dima Mozyrsky ◽  
Vladimir Privman ◽  
Steven P. Hotaling

We offer an alternative to the conventional network formulation of quantum computing. We advance the analog approach to quantum logic gate/circuit construction. As an illustration, we consider the spatially extended NOT gate as the first step in the development of this approach. We derive an explicit form of the interaction Hamiltonian corresponding to this gate and analyze its properties. We also discuss general extensions to the case of certain time-dependent interactions which may be useful for practical realization of quantum logic gates.


2016 ◽  
Vol 56 (4) ◽  
pp. 1023-1038 ◽  
Author(s):  
Zhiqiang Li ◽  
Sai Chen ◽  
Xiaoyu Song ◽  
Marek Perkowski ◽  
Hanwu Chen ◽  
...  

Science ◽  
2021 ◽  
Vol 371 (6529) ◽  
pp. 614-617 ◽  
Author(s):  
Severin Daiss ◽  
Stefan Langenfeld ◽  
Stephan Welte ◽  
Emanuele Distante ◽  
Philip Thomas ◽  
...  

The big challenge in quantum computing is to realize scalable multi-qubit systems with cross-talk–free addressability and efficient coupling of arbitrarily selected qubits. Quantum networks promise a solution by integrating smaller qubit modules to a larger computing cluster. Such a distributed architecture, however, requires the capability to execute quantum-logic gates between distant qubits. Here we experimentally realize such a gate over a distance of 60 meters. We employ an ancillary photon that we successively reflect from two remote qubit modules, followed by a heralding photon detection, which triggers a final qubit rotation. We use the gate for remote entanglement creation of all four Bell states. Our nonlocal quantum-logic gate could be extended both to multiple qubits and many modules for a tailor-made multi-qubit computing register.


2016 ◽  
Vol 16 (5&6) ◽  
pp. 465-482
Author(s):  
Taoufik Said ◽  
Abdelhaq Chouikh ◽  
Karima Essammouni ◽  
Mohamed Bennai

We propose an effective way for realizing a three quantum logic gates (NTCP gate, NTCP-NOT gate and NTQ-NOT gate) of one qubit simultaneously controlling N target qubits based on the qubit-qubit interaction. We use the superconducting qubits in a cavity QED driven by a strong microwave field. In our scheme, the operation time of these gates is independent of the number N of qubits involved in the gate operation. These gates are insensitive to the initial state of the cavity QED and can be used to produce an analogous CNOT gate simultaneously acting on N qubits. The quantum phase gate can be realized in a time (nanosecond-scale) much smaller than decoherence time and dephasing time (microsecond-scale) in cavity QED. Numerical simulation under the influence of the gate operations shows that the scheme could be achieved efficiently within current state-of-the-art technology.


2020 ◽  
Vol 8 (5) ◽  
pp. 3693-3699

Now days we require low cost and high performance computational based applications. Quantum inspired computational device or circuit performs effective result compare to classical based devices. In the development of quantum-based devices and network needs number of quantum logic gates. Here we studied mathematical description of different types of single and multiple qubits-based quantum logic gates, the reversibility property of quantum gates also proved mathematically. We analyze the cost and effectiveness of each quantum gates has been implemented using neural network with the help of MATLAB. The cost and effectiveness of quantum gates has been analyzed with the comparison of different types of activation function.


Author(s):  
Yuehua Li ◽  
Chengcheng Wang ◽  
Jiahao Sun ◽  
Zhijin Guan ◽  
Jiaqing Chen ◽  
...  

Nowadays, the IoT technology is developing rapidly. In order to protect the information security of the IoT, this paper applies the characteristics of quantum circuit, such as high complexity and no feedback, into the field of encryption technology, and designed a encryption system based on quantum circuit. The system uses quantum circuit to construct the encryption algorithm, and realizes the mathematical operations and transformation in quantum logic which can be realized through quantum logic gates. Encryption system of quantum circuit can improve the encryption complexity, and its anti-attack ability is ( -1)! times of the traditional method, thus it can effectively protect the information security of the IoT. In order to increase the practicability of the system, this paper designed an interface module to facilitate the interaction of the system with the outside world .What’s more, the IoT application system is designed in which the validity and correctness of the encryption system are verified.


2019 ◽  
Author(s):  
Maria Castellanos ◽  
Amro Dodin ◽  
Adam Willard

This manuscript presents a theoretical strategy for encoding elementary quantum computing operations into the design of molecular excitonic circuits. Specifically, we show how the action of a unitary transformation of coupled two-level systems can be equivalently represented by the evolution of an exciton in a coupled network of dye molecules. We apply this strategy to identify the geometric parameters for circuits that perform universal quantum logic gate operations. We quantify the design space for these circuits and how their performance is affected by environmental noise.


2015 ◽  
Vol 24 (08) ◽  
pp. 1550121 ◽  
Author(s):  
Fuyou Fan ◽  
Guowu Yang ◽  
Gang Yang ◽  
William N. N. Hung

Because ternary computer has more superiority than other d-ary number systems, we focus on the investigation of ternary elementary quantum gates and the synthesis algorithm of ternary quantum logic circuits. Above all, Pauli operators and their matrices on qutrit are introduced. Then eight qutrit operators are selected as elementary operators and eight qutrit quantum logic gates are defined. Permutation groups are introduced to characterize the quantum gates and quantum logic circuits. Some important qutrit quantum logic gates are defined also, such as QNOT, QKCXi, EQKCXi, QSwap, QCNOT and EQCNOT. Based on these elementary gates, we prove two very important theorems: (1) all qutrit quantum reversible logic circuit can be generated by Xi gate and QKCXi gate; (2) all qutrit quantum reversible logic circuits can be generated by Xi gate and QCNOT gate. The two theorems indicate that any complicated qutrit quantum reversible circuit can be constructed by the simplest ternary quantum gate. This will greatly simplify the implementation difficulty of quantum circuit. Subsequently, we propose a synthesis algorithm for qutrit quantum reversible logic circuit, which is verified through simulation experiment by the computer program we have designed.


2021 ◽  
Author(s):  
Shuai Shi ◽  
Biao Xu ◽  
Kuan Zhang ◽  
Gen-Sheng Ye ◽  
De-Sheng Xiang ◽  
...  

Abstract Quantum logic gates with fidelity above fault-tolerant threshold are building blocks for scalable quantum technologies[1,2]. Compared to other types of qubits, photon is one of a kind due to its unparalleled advantages in long-distance quantum information exchange[3-5]. As a result, high-fidelity photonic quantum operations are not only indispensable for photonic quantum computation[6-8] but also critical for quantum network[2,9]. However, two-qubit photonic quantum logic gate with fidelity comparable to that of leading physical systems, i.e. 99.7% for superconducting circuits[10] and 99.9% for trapped ions[11], has not been achieved. A major limitation is the imperfection of single photons[12]. Here, we overcome this limitation by using high-quality single photons generated from Rydberg atoms as qubits for the interference-based gate protocol, and achieve a gate fidelity up to 99.84(3)%. Our work paves the way for scalable photonic quantum applications[13-15] based on near-optimal single-photon qubits and photon-photon gates.


Nowadays, the IoT technology is developing rapidly. In order to protect the information security of the IoT, this paper applies the characteristics of quantum circuit, such as high complexity and no feedback, into the field of encryption technology, and designed a encryption system based on quantum circuit. The system uses quantum circuit to construct the encryption algorithm, and realizes the mathematical operations and transformation in quantum logic which can be realized through quantum logic gates. Encryption system of quantum circuit can improve the encryption complexity, and its anti-attack ability is ( -1)! times of the traditional method, thus it can effectively protect the information security of the IoT. In order to increase the practicability of the system, this paper designed an interface module to facilitate the interaction of the system with the outside world .What’s more, the IoT application system is designed in which the validity and correctness of the encryption system are verified.


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