Quantum statistical effect induced through conditioned post-processing procedures with unitary $t$-designs

TL;DR

This paper introduces a quantum statistical effect arising from conditioned post-processing of stochastic state preparations and measurements, demonstrating its potential implementation on current quantum computers through feasible experimental protocols.

Contribution

It proposes a new quantum phenomenon linked to post-processing, with practical protocols for experimental realization on existing quantum hardware.

Findings

Simulation indicates feasibility with ~30,000 repetitions for three-qubit systems.

Experimental protocols are designed for current quantum computers.

The phenomenon involves stochastic state preparations and measurements with conditioned post-processing.

Abstract

We propose a few-body quantum phenomenon, which manifests itself through stochastic state preparations and measurements followed by a conditioned post-processing procedure. We show two experimental protocols to implement these phenomena with existing quantum computers, and examine their feasibility by using simulations. Our simulation results suggest that the experimental demonstration is feasible if we repeat the state preparations and measurements about thirty thousand times to three-qubit systems.