A template-based technique for efficient Clifford+T-based quantum circuit implementation. (November 2018)

• Record Type: Journal Article
• Authors: Biswal, Laxmidhar; Das, Rakesh; Bandyopadhyay, Chandan; Chattopadhyay, Anupam; Rahaman, Hafizur
• Is Part Of: Microelectronics journal. Volume 81(2018)
• Page Start: 58
• Page End: 68
• Publication Date: 2018-11
• Subjects: BDD -- Clifford+T -- Fault-tolerance -- Quantum circuits -- T − depth -- T − count; Microelectronics -- Periodicals; Microélectronique -- Périodiques; Microelectronics; Electronic journals; Journals - contents and abstracts; Periodicals; 621.3805
• DOI: 10.1016/j.mejo.2018.08.011
• Languages: English
• ISSNs: 0959-8324

Abstract

Abstract: The near-future possibility of Quantum supremacy, which aspires to establish a set of algorithms running efficiently on a Quantum computer – have significantly fuelled the interest in design and automation of Quantum circuits. Multiple technologies such as Ion-Trap, Nuclear Magnetic Resonance (NMR), have made great progress in recent years towards a practical Quantum circuit implementation. For all these technologies, in order to suppress the inherent computation noise, fault-tolerance is a desirable feature. Fault tolerance is achieved by Quantum error correction codes, such as surface code. Due to the efficient realization of surface codes using Clifford + T gate library of Quantum logic gates, it is now becoming de facto gate library for Quantum circuit implementation. In this paper, we improve two key performance metrics, T − depth and T − count, for Quantum circuit realization using Clifford + T gates. In contrast with the previous approaches, we have incorporated two techniques - 1) restructuring of the gate positions in the designs to make it amenable towards a lower T − depth 2) using Binary Decision Diagrams (BDD) as an intermediate representation for achieving scalability. To validate our proposed optimizations, we have tested a wide spectrum of benchmarks, registering an average improvement of 74% and 21% on T − depth and T − count in compared works.