Optimization of Postselection in Quantum Algorithms: A Two-Way Quantum Computing Approach

TL;DR

This paper explores how Two-Way Quantum Computing can improve the scalability and practicality of postselection in quantum algorithms, addressing longstanding challenges and enabling more efficient quantum computations.

Contribution

It introduces the concept of postparation and demonstrates how 2WQC can mitigate exponential scaling issues in postselection.

Findings

2WQC offers potential solutions to postselection scaling challenges.

Introduction of postparation enhances dynamic quantum state control.

Potential for improved practicality of quantum algorithms with postselection.

Abstract

Postselection is an operation that allows the selection of specific measurement outcomes. It serves as a powerful theoretical tool for enhancing the performance of existing quantum algorithms. Despite recent developments such as time reversal in quantum measurements and IBM's mid-circuit measurements, postselection continues to face significant challenges, most notably poor, often exponential, scaling. This study investigates how Two-Way Quantum Computing (2WQC) offers potential solutions to these challenges. By introducing the concept of postparation and enabling dynamic quantum state control, 2WQC has the potential to mitigate scaling issues and improve the practicality of postselection, thereby fostering advancements in the field of quantum algorithms.