Quantum Dissonance Is Rejected in an Overlap Measurement Scheme

TL;DR

This paper shows that in an overlap measurement scheme, quantum dissonance is absent regardless of the correlations between the auxiliary qubit and input states, highlighting a unique quantum measurement phenomenon.

Contribution

It reveals that quantum dissonance does not appear in the overlap measurement scheme, contrasting with other quantum computational models involving entanglement.

Findings

No quantum dissonance detected in the scheme

Quantum correlations can exist without dissonance

Quantum discord can undergo sudden death during state transitions

Abstract

The overlap measurement scheme accomplishes to evaluate the overlap of two input quantum states by only measuring an introduced auxiliary qubit, irrespective of the complexity of the two input states. We find a counterintuitive phenomenon that no quantum dissonance can be found, even though the auxiliary qubit might be entangled, classically correlated or even uncorrelated with the two input states based on different types of input states. In principle, this provides an opposite but supplementary example to the remarkable algorithm of the deterministic quantum computation with one qubit in which no entanglement is present. Finally, we consider a simple overlap measurement model to demonstrate the continuous change (including potential sudden death of quantum discord) with the input states from entangled to product states by only adjusting some simple initial parameters.