Deterministic Algorithms for Compiling Quantum Circuits with Recurrent Patterns

Current quantum processors are noisy, have limited coherence and imperfect gate implementations. On such hardware, only algorithms that are shorter than the overall coherence time can be implemented and executed successfully. A good quantum compiler must translate an input program into the most effi...

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Bibliographic Details
Published in:arXiv.org
Main Authors: Ferrari, Davide, Tavernelli, Ivano, Amoretti, Michele
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 17.02.2021
Subjects:
Algorithms
Circuits
Coherence
Compilers
Hardware
Polynomials
Wave functions
ISSN:2331-8422
Online Access:Get full text
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Summary:Current quantum processors are noisy, have limited coherence and imperfect gate implementations. On such hardware, only algorithms that are shorter than the overall coherence time can be implemented and executed successfully. A good quantum compiler must translate an input program into the most efficient equivalent of itself, getting the most out of the available hardware. In this work, we present novel deterministic algorithms for compiling recurrent quantum circuit patterns in polynomial time. In particular, such patterns appear in quantum circuits that are used to compute the ground state properties of molecular systems using the variational quantum eigensolver (VQE) method together with the RyRz heuristic wavefunction Ansatz. We show that our pattern-oriented compiling algorithms, combined with an efficient swapping strategy, produces - in general - output programs that are comparable to those obtained with state-of-art compilers, in terms of CNOT count and CNOT depth. In particular, our solution produces unmatched results on RyRz circuits.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
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ISSN:2331-8422
DOI:10.48550/arxiv.2102.08765