Qubitization of Bosons

TL;DR

This paper introduces a binary mapping for bosonic states to qubits and develops an efficient qubitization algorithm with potential applications in simulating quantum dynamics on near-term quantum computers.

Contribution

It presents a novel binary mapping from bosonic Fock space to qubits and an O(log(N)) qubitization algorithm for bosons, enabling efficient quantum simulations.

Findings

Algorithm successfully simulates real-time Yukawa dynamics.

Error estimation via random sampling confirms accuracy.

Feasible implementation on near-term superconducting quantum computers.

Abstract

A binary mapping from Fock space of bosonic state to qubits is given. Based on the binary mapping, we construte an algorithm of qubitization of bosons with complexity O(log(N)). As an example, the algorithm of qubitization of bosons in matrix product state to simulate real time dynamics of Yukawa coupling is realized. The calculation error bar is estimated by random sampling method. This proposal may be achieved in superconductivity noisy intermediate--scale quantum computer not far future.