# Environment-Assisted Invariance Does Not Necessitate Born’s Rule for Quantum Measurement

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## Abstract

**:**

## 1. Introduction

## 2. Envariance

## 3. Quantum Measurement

- The measurement process can, at least in principle, be divided into pre-measurement and registration;
- There is a preferred basis in which registration takes place;
- The selection of a particular preferred basis state as the measurement outcome is probabilistic;
- The registration is a local process that is not influenced by events causally disconnected from the measurement machine;
- The probability of selecting any particular measurement outcome does not depend on any physical property of either the system being measured or the measurement machine used to measure it;
- The measurement process does not a priori favour any particular outcome.

## 4. Swaps

## 5. Born’s Rule?

## 6. Measurement Machines

## 7. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## References

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**MDPI and ACS Style**

Mertens, L.; van Wezel, J.
Environment-Assisted Invariance Does Not Necessitate Born’s Rule for Quantum Measurement. *Entropy* **2023**, *25*, 435.
https://doi.org/10.3390/e25030435

**AMA Style**

Mertens L, van Wezel J.
Environment-Assisted Invariance Does Not Necessitate Born’s Rule for Quantum Measurement. *Entropy*. 2023; 25(3):435.
https://doi.org/10.3390/e25030435

**Chicago/Turabian Style**

Mertens, Lotte, and Jasper van Wezel.
2023. "Environment-Assisted Invariance Does Not Necessitate Born’s Rule for Quantum Measurement" *Entropy* 25, no. 3: 435.
https://doi.org/10.3390/e25030435