Optimal Quantum Circuits for General Multi‐Qutrit Quantum Computation

GL Jiang, WQ Liu, HR Wei - Advanced Quantum Technologies, 2024 - Wiley Online Library
Quantum circuits of a general quantum gate acting on multiple dd‐level quantum systems
play a prominent role in multi‐valued quantum computation. A recursive Cartan …

Realization of quantum algorithms with qudits

EO Kiktenko, AS Nikolaeva, AK Fedorov - arxiv preprint arxiv:2311.12003, 2023 - arxiv.org
The paradigm behind digital quantum computing inherits the idea of using binary
information processing. The nature in fact gives much more rich structures of physical …

Multiqubit Toffoli gates and optimal geometry with Rydberg atoms

D Yu, H Wang, JM Liu, SL Su, J Qian, W Zhang - Physical Review Applied, 2022 - APS
Due to its potential for implementing a scalable quantum computer, the multiqubit Toffoli
gate lies in the heart of quantum information processing. In this paper, we demonstrate a …

Optimal synthesis of multi-controlled qudit gates

W Zi, Q Li, X Sun - 2023 60th ACM/IEEE Design Automation …, 2023 - ieeexplore.ieee.org
We propose a linear-size synthesis of the multi-controlled Toffoli gate on qudits with at most
one borrowed ancilla. This one ancilla can even be saved when the qudit dimension is odd …

QuDiet: A classical simulation platform for qubit‐qudit hybrid quantum systems

T Chatterjee, A Das, SK Bala, A Saha… - IET Quantum …, 2023 - Wiley Online Library
In recent years, numerous research advancements have extended the limit of classical
simulation of quantum algorithms. Although, most of the state‐of‐the‐art classical simulators …

Fundamentals of quantum computation and basic quantum gates

S Mummadi, B Rudra - … of Research on Quantum Computing for …, 2023 - igi-global.com
Quantum computing plays a major role in modern computation. It can perform operations
exponentially faster when compared to classical computation. It has applications in various …

Existence of Pauli-like stabilizers for every quantum error-correcting code

JY Kao, HS Goan - Physical Review A, 2023 - APS
The Pauli stabilizer formalism is perhaps the most thoroughly studied means of procuring
quantum error-correcting codes, whereby the code is obtained through commutative Pauli …

FragQC: An efficient quantum error reduction technique using quantum circuit fragmentation

S Basu, A Das, A Saha, A Chakrabarti… - Journal of Systems and …, 2024 - Elsevier
Quantum computers must meet extremely stringent qualitative and quantitative requirements
on their qubits in order to solve real-life problems. Quantum circuit fragmentation techniques …

Circuit Design of Two-Step Quantum Search Algorithm for Solving Traveling Salesman Problems

R Sato, G Cui, K Saito, H Kawashima, T Nikuni… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum search algorithms, such as Grover's algorithm, are expected to efficiently solve
constrained combinatorial optimization problems. However, implementing a quantum search …

Robust Implementation of Discrete-time Quantum Walks in Any Finite-dimensional Quantum System

B Nandi, S Singha, A Datta, A Saha… - arxiv preprint arxiv …, 2024 - arxiv.org
Research has shown that quantum walks can accelerate certain quantum algorithms and act
as a universal paradigm for quantum processing. The discrete-time quantum walk (DTQW) …