3 papers
quant-ph2026
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…
quant-ph2026
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…
quant-ph2026
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…