10 papers
SAT + NAUTY: Orderly Generation of Small Kochen-Specker Sets Containing the Smallest State-independent Contextuality Set
Zhengyu Li, Curtis Bright, Stefan Trandafir +2
We present a search for small Kochen-Specker (KS) sets in dimension 3, specifically targeting extensions of the 13-ray Yu-Oh set, which has been proven to be the minimal witness to…
The simplest Kochen-Specker set
Adán Cabello
Kochen-Specker (KS) sets are fundamental in physics. Every time nature produces bipartite correlations attaining the nonsignaling limit, or two parties always win a nonlocal game i…
Two fundamental solutions to the rigid Kochen-Specker set problem and the solution to the minimal Kochen-Specker set problem under one assumption
Stefan Trandafir, Adán Cabello
Recent results show that Kochen-Specker (KS) sets of observables are fundamental to quantum information, computation, and foundations beyond previous expectations. Among KS sets, t…
Memory cost of quantum contextuality with Pauli observables
Stefan Trandafir, Colm Kelleher, Adán Cabello
Classically simulating the quantum contextual correlations produced by sequences of ideal measurements of compatible observables requires the measured system to have an internal me…
Minimum optical depth multiport interferometers for approximating arbitrary unitary operations and pure states
Luciano Pereira, Alejandro Rojas, Gustavo Lima +3
Reconfigurable devices which can implement arbitrary unitary operations are crucial for photonic quantum computation, optical neural networks, and boson sampling. Here, we address…
Test of the physical significance of Bell nonlocality
Carlos Vieira, Ravishankar Ramanathan, Adán Cabello
Loophole-free violations of Bell inequalities imply that at least one of the assumptions behind local hidden-variable theories must fail. Here, we show that, if only one fails, the…