Space-time optimized table lookup

TL;DR

This paper introduces a space-time optimized quantum circuit for table lookup operations within lattice-surgery surface code frameworks, enhancing efficiency for various quantum computing applications.

Contribution

It presents a novel, space-time optimized circuit design for table lookup in surface code quantum computing, abstracting implementation details for broader accessibility.

Findings

Reduces space-time resources for table lookup circuits

Applicable to cryptography and quantum chemistry

Accessible to non-experts in surface codes

Abstract

We describe a space-time optimized circuit for the table lookup subroutine from lattice-surgery surface code primitives respecting 2D grid connectivity. Table lookup circuits are ubiquitous in quantum computing, allowing the presented circuit to be used for applications ranging from cryptography to quantum chemistry. Surface code is the leading approach to scalable fault-tolerant quantum computing pursued by industry and academia. We abstract away surface code implementation details by using a minimal set of operations supported by the surface code via lattice-surgery. Our exposition is accessible to a reader not familiar with surface codes and fault-tolerant quantum computing.