4 papers
Rotational Encoding of Objective Functions for Quantum Optimization
Sonia Yang, Ali Al-Bayaty, Shanyan Chen +1
In this paper, we introduce the Angular Rotational Counter (ARC), a novel approach to represent objective functions that can be decomposed as a weighted sum of Boolean functions. A…
Minimization of AND-XOR Expressions with Decoders for Quantum Circuits
Sonia Yang, Ali Al-Bayaty, Marek Perkowski
This paper introduces a new logic structure for reversible quantum circuit synthesis. Our synthesis method aims to minimize the quantum cost of reversible quantum circuits with dec…
Visualizing the state space and transformations of higher order quantum logics via toric geometry
Steven Bleiler, Shanyan Chen, Emma O'Neil +7
We propose some new uses of toric variety structures in the study of quantum computation for small radices. In particular, we observe the concurrence of the equivalence classes of…
A Cost-Effective Layout-Aware Quantum Circuit Synthesis For Triangular, Square, and Heavy-Hex Layouts
Sonia Yang, Ali Al-Bayaty, Marek Perkowski
The quantum layout and the mapping of logical to physical qubits are crucial in quantum circuit synthesis for a real quantum computer. Circuits that include large -bit Toffoli g…