Non-local parity measurements and the quantum pigeonhole effect
Research output: Contribution to journal › Article › Scientific › peer-review
The pigeonhole principle upholds the idea that by ascribing to three different particles either one of two properties, we necessarily end up in a situation when at least two of the particles have the same property. In quantum physics, this principle is violated in experiments involving postselection of the particles in appropriately-chosen states. Here, we give two explicit constructions using standard gates and measurements that illustrate this fact. Intriguingly, the procedures described are manifestly non-local, which demonstrates that the correlations needed to observe the violation of this principle can be created without direct interactions between particles.
|Publication status||Published - 1 Aug 2018|
|MoE publication type||A1 Journal article-refereed|
- Controlled-NOT, Entanglement, Non-locality, Parity measurements, Pigeonhole principle