We introduce a quantum-inspired algorithm for graph coloring problems (GCPs) that utilizes
qudits in a product state, with each qudit representing a node in the graph and …

Quantum optimization is emerging as a prominent candidate for exploiting the capabilities of
near-term quantum devices. Many application-relevant optimization tasks require the …

Solving combinatorial optimization problems using variational quantum algorithms to be
executed on near-term quantum devices has gained a lot of attraction in recent years …

The synthesis of single-qudit unitaries has mainly been understudied, resulting in inflexible
and non-optimal analytical solutions, as well as inefficient and impractical numerical …

Quantum gates are the fundamental instructions of digital quantum computers. Current
programming languages, systems, and software development toolkits identify these …

Quantum simulators offer the potential to utilize the quantum nature of a physical system to
study another physical system. In contrast to conventional simulation, which experiences an …

While quantum correlations between two spacelike-separated systems are fully encoded by
the bipartite density operator associated with the joint system, we prove that there does not …

We develop qutrit circuit models for discrete-time three-state quantum walks on Cayley
graphs corresponding to dihedral groups DN and the additive groups of integers modulo …

Quantum three-level qutrit systems can achieve high-fidelity operations and are favorable for
quantum error correction, which is crucial in the current NISQ era. Before the advent of fault …