![constructor theory constructor theory](https://www.constructortheory.org/wp-content/uploads/2020/10/witnessing_non-classicality-e1603208747288-450x300.png)
Panel (c): error ε for both T (in orange) and T ∼ (in green). Panel (b): mixed-to-pure task T ∼, being the substrate initial state ρ m = 0.55 | 0 ⟩ ⟨ 0 | + 0.45 | 1 ⟩ ⟨ 1 | and the homogenizer qubits state ρ p = | 0 ⟩ ⟨ 0 |. Bars: theoretical predictions dots: experimentally reconstructed values, reported with the associated uncertainties (within dots size). David and I have been working on this together for the past three years, and we’ve been applying it to many different problems. The plot shows the ρ 00 (in azure and blue) and ρ 11 (in yellow and red) elements of the substrate Q density matrix, initially in the pure state ρ p = | 0 ⟩ ⟨ 0 |, after each partial swap U Q, k with one of the N = 3 homogenizer qubits in the mixed state ρ m = 0.55 | 0 ⟩ ⟨ 0 | + 0.45 | 1 ⟩ ⟨ 1 | (experimentally measured), showing the substrate state evolution induced by the homogenizer. We give a decision procedure for the satisfiability of finite sets of ground equations and disequations in the constructor theory: the terms used may contain both uninterpreted and constructor function symbols.Constructor function symbols are by definition injective and terms built with distinct constructors are themselves distinct. Constructor theory is a proposed theory by David Deutsch for describing physical laws exclusively in terms of what physical transformations (sometimes. Results obtained with partial swap parameter η = ( π / 4 ), for the first usage of the homogenizer ( n = 1).