A Pair Of Quanta Cannot Be Wed

TL;DR

This paper proves that it is impossible to perfectly merge two arbitrary quantum states into a single quantum state, revealing a fundamental limitation in quantum mechanics similar to the no-cloning theorem.

Contribution

It introduces a new no-welding theorem showing that two arbitrary quantum states cannot be universally combined into a double quantum state.

Findings

Opposite polarization states cannot be perfectly merged.

The impossibility of quantum welding closes an FTL loophole.

Establishes a new fundamental law of quantum nature.

Abstract

Wooters, Zurek and others have shown that "A Single Quantum Cannot Be Cloned". The reason is two-fold: 1. A quantum cloner would permit FTL signaling; 2. A quantum cloner would violate the linearity requirement for quantum superposition. I present here a similar proof that two arbitrary quantum states cannot be universally welded together to produce a double quantum state. In particular, opposite polarization states cannot be perfectly merged. This paper closes another FTL loophole and discloses a new law of nature: Perfect quantum weddings are not possible.