11 papers
Factorization of Exclusive-Sum-Of-Products Expressions with Rectangle Covering to Reduce Quantum Circuit Cost
Audrey Hou, Lucia Zhang, Ali Al-Bayaty +1
The implementation of quantum circuits is currently very expensive, especially due to the usage of large Toffoli gates. Therefore, it is critical to optimize circuit costs by facto…
Quantum-Adaptive KS(): A Parameterized Three-Qubit Gate Family Embedding Toffoli with Measurement-Free Phase Kickback and Intrinsic Error Non-Amplification
Kripa Sankaranarayanan, Marek Perkowski
We introduce Quantum-Adaptive KS() ( = kickback, = sandwich), a parameterized three-qubit gate family that structurally embeds the Toffoli (CCX) gate within two addition…
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…
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…
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…
A Geometrical Design Tool for Building Cost-Effective Layout-Aware n-Bit Quantum Gates Using the Bloch Sphere Approach
Ali Al-Bayaty, Marek Perkowski
The conventional design technique of any n-bit quantum gate is mainly achieved using unitary matrices multiplication, where n >= 2 and 1 <= m <= n-1 for m target qubits and n-m con…