Quantum Supremacy through Fock State $q$ boson Sampling with Transmon Qubits

TL;DR

This paper demonstrates that transmon qubits can perform $q$ boson Fock state sampling, a classically hard problem, thereby enabling quantum supremacy with transmon-based quantum processors.

Contribution

The work introduces $q$ boson Fock state sampling for transmon qubits, showing they can achieve quantum supremacy in this task, expanding their computational capabilities.

Findings

Transmon qubits can be mapped to $q$ boson formalism.

Transmons can perform classically intractable $q$ boson sampling.

This approach enables quantum supremacy with transmon-based devices.

Abstract

Transmon qubits have traditionally been regarded as limited to random circuit sampling, incapable of performing Fock state boson sampling, a problem known to be classically intractable. This work challenges that assumption by introducing $q$ boson Fock state sampling, a variant in which transmon qubits can operate effectively. Through direct mapping to the $q$ boson formalism, we demonstrate that transmons possess the capability to achieve quantum supremacy in $q$ boson sampling tasks. This finding expands the potential applications of transmon-based quantum processors and paves the way for new avenues in quantum computation.