Automated Quantum Circuit Synthesis and Cost Estimation for the Binary Welded Tree Oracle

Quantum computing is a new computational paradigm that promises an exponential speed-up over classical algorithms. To develop efficient quantum algorithms for problems of a non-deterministic nature, random walk is one of the most successful concepts employed. In this article, we target both continuo...

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Bibliographic Details
Published in:ACM journal on emerging technologies in computing systems 2017-10, Vol.13 (4), p.1-14
Main Authors: Ghosh, Mrityunjay, Chakrabarti, Amlan, Jha, Niraj K.
Format: Article
Language:English
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Summary:Quantum computing is a new computational paradigm that promises an exponential speed-up over classical algorithms. To develop efficient quantum algorithms for problems of a non-deterministic nature, random walk is one of the most successful concepts employed. In this article, we target both continuous-time and discrete-time random walk in both the classical and quantum regimes. Binary Welded Tree (BWT), or glued tree, is one of the most well-known quantum walk algorithms in the continuous-time domain. Prior work implements quantum walk on the BWT with static welding. In this context, static welding is randomized but case-specific. We propose a solution to automatically generate the circuit for the Oracle for welding. We implement the circuit using the Quantum Assembly Language, which is a language for describing quantum circuits. We then optimize the generated circuit using the Fault-Tolerant Quantum Logic Synthesis tool for any BWT instance. Automatic welding enables us to provide a generalized solution for quantum walk on the BWT.
ISSN:1550-4832
1550-4840
DOI:10.1145/3060582