Fault-Tolerant Implementation of Quantum Arithmetic and Logical Unit (QALU) Using Clifford+T-Group
The quest of efficient quantum circuit is to achieve quantum supremacy in theory as well as in practice. The foremost obstacle is to protect the cohesive time of extremely fragile quantum states from inherent noise. To address this issue, Quantum Error Co
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Abstract The quest of efficient quantum circuit is to achieve quantum supremacy in theory as well as in practice. The foremost obstacle is to protect the cohesive time of extremely fragile quantum states from inherent noise. To address this issue, Quantum Error Correction Code (QECC) with fault-tolerant quantum circuit is most desirable. Aiming to contribute toward designing an efficient Quantum Information Processor (QIP); in this work, we have shown the design of an important QIP module, i.e., Arithmetic Logic Unit (ALU). The entire design has been made on top of quantum Clifford+T -group. In the design phase, initially, we formulate a 1-bit design and then to make a generalized representation of the ALU, multiple smaller modules have been integrated. For ensuring improved features in this component, the design has been made fault-tolerant, circuit optimization rules are executed to minimize the design metrics and parallelism in high latency T -gate is ensured. In a way to check the functional correctness of our proposed design, several logical operations have been successfully tested over it. Keywords Clifford+T · QECC · ALU · T -depth · T -count.
Please note that the LNCS Editorial assumes that all authors have used the western naming convention, with given names preceding surnames. This determines the structure of the names in the running heads and the author index. L. Biswal (B) · S. Ghosh · H. Rahaman School of VLSI Technology, IIEST, Shibpur, India e-mail: [email protected] S. Ghosh e-mail: [email protected] H. Rahaman e-mail: [email protected] C. Bandyopadhyay Department of Information Technology, IIEST, Shibpur, India e-mail: [email protected] © Springer Nature Singapore Pte Ltd. 2021 D. Bhattacharjee et al. (eds.), Proceedings of International Conference on Frontiers in Computing and Systems, Advances in Intelligent Systems and Computing 1255, https://doi.org/10.1007/978-981-15-7834-2_78
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1 Introduction Nowadays, quantum computer (QC) has become a hot topic within the academia and industries that could spur the development of new breakthroughs in science, engineering, and technologies. Since finding of quantum algorithms, the QC has outperformed over some of the well-known classically intractable problems with exponential faster speed [1, 2] . Basically, quantum computer works on the principle of quantum mechanics [3] where so-called powerful quantum algorithms are implemented with the help of quantum operators whose close Hamiltonian is reversible in nature for which the quantum computation becomes lossless computation. Furthermore, quantum computer relies on Quantum Bit (Qubit) in lieu of classical bit. The formal definition and properties on qubit is presented in Sect. 2. Though the revolutionary QC has many more advantages but has an immense challenge in its realization due to catastrophic obstacles from noisy sources as well as from other constraints in logical and physical levels. For example, direct feedback and fan-out circuit are not al
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