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quant-ph2024

Synthesis of Binary-Input Multi-Valued Output Optical Cascades for Reversible and Quantum Technologies

Ishani Agarwal, Miroslav Saraivanov, Marek Perkowski

This paper extends the decomposition from the group theory based methods of Sasao and Saraivanov to design binary input multivalued output quantum cascades realized with optical NO…

quant-ph2024

EQB: Synthesizing Permutative Quantum Gates and Circuits Using Rotation-Based Group Decomposition

Ishani Agarwal, Miroslav Saraivanov, Ali Al-Bayaty +1

The decomposition from the group theory-based methods of Sasao and Saraivanov is extended to design binary quantum cascades, using the quantum rotational gates by the X-axis (CNOT…

quant-ph2024

Cost-Effective Realization of n-Bit Toffoli Gates for IBM Quantum Computers Using the Bloch Sphere Approach and IBM Native Gates

Ali Al-Bayaty, Marek Perkowski

A cost-effective n-bit Toffoli gate is proposed to be realized (or transpiled) based on the layouts (linear, T-like, and I-like) and the number of n physical qubits for IBM quantum…

quant-ph2024

CALA-: A Quantum Library for Realizing Cost-Effective 2-, 3-, 4-, and 5-bit Gates on IBM Quantum Computers using Bloch Sphere Approach, Clifford+T Gates, and Layouts

Ali Al-Bayaty, Xiaoyu Song, Marek Perkowski

We introduce a new quantum layout-aware approach to realize cost-effective -bit gates using the Bloch sphere, for qubits. These -bit gates are entirely constr…

quant-ph2024

BHT-QAOA: Generalizing Quantum Approximate Optimization Algorithm to Solve Arbitrary Boolean Problems as Hamiltonians

Ali Al-Bayaty, Marek Perkowski

A new methodology is proposed to solve classical Boolean problems as Hamiltonians, using the quantum approximate optimization algorithm (QAOA). Our methodology successfully finds a…