Reply to the Comment by A.J. Leggett and Anupam Garg

TL;DR

This paper defends the original findings against Leggett and Garg's comment, clarifying that the equations in question are effectively identical despite claims of measurement time dependence.

Contribution

The authors clarify and reaffirm that their original equations are equivalent to those challenged, countering claims of measurement time dependence in their prior work.

Findings

Equations (HMDR1) and (LG2a) are mathematically identical.

Measurement time dependence claimed by Leggett and Garg is unfounded.

The original results remain valid despite nomenclature differences.

Abstract

In their comment[1] on our Letter [arXiv:0907.0767], Leggett and Garg claim that they have introduced in their original paper (LG1) a dependence on measurement times. They also claim that Eqs.(HMDR1) and (LG2a) can therefore not be linked in such a way that the arguments of [arXiv:0907.0767] can be transcribed. However, (LG1) distinguishes only three time differences, and all experimental results corresponding to the same time differences are identically labeled and therefore treated as mathematically identical. We therefore cannot agree with the argumentation of Leggett and Garg: except for a change of nomenclature Eqs.(HMDR1) and (LG2a) are the same. A more extensive discussion of this point can be found in [arXiv:0901.2546].