6 papers
CayleyPy Growth: Efficient growth computations and hundreds of new conjectures on Cayley graphs (Brief version)
A. Chervov, D. Fedoriaka, E. Konstantinova +46
This is the third paper of the CayleyPy project applying artificial intelligence to problems in group theory. We announce the first public release of CayleyPy, an open source Pytho…
CayleyPy-4: AI-Holography. Towards analogs of holographic string dualities for AI tasks
A. Chervov, F. Levkovich-Maslyuk, A. Smolensky +41
This is the fourth paper in the CayleyPy project, which applies AI methods to the exploration of large graphs. In this work, we suggest the existence of a new discrete version of h…
Quantum Arithmetic Algorithms: Implementation, Resource Estimation, and Comparison
Dmytro Fedoriaka, Brian Goldsmith, Yingrong Chen
As quantum computing technology advances, the need for optimized arithmetic circuits continues to grow. This paper presents the implementation and resource estimation of a library…
Decomposition of unitary matrix into quantum gates
Dmytro Fedoriaka
An algorithm is proposed to convert arbitrary unitary matrix to a sequence of gates and fully controlled and gates. This algorithm is used to generate Q# imple…
New Circuit for Quantum Adder by Constant
Dmytro Fedoriaka
We propose a new circuit for in-place addition of a classical -bit constant to a quantum -qubit integer modulo . Our circuit uses ancilla qubits and has a T-count…
Quantum Circuits for Elementary Cellular Automata
Dmytro Fedoriaka
In this paper we identify full list of Elementary Cellular Automata rules which can be simulated using a quantum circuit (there are 22 such rules). For every such rule we present q…