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Quantum entanglement is crucial for quantum information processing, prominently used in quantum communication, computation, and metrology. Recent studies have shifted toward high-dimensional entangled states, offering greater information capacity and enabling more complex applications. Here, we experimentally prepared a three-photon asymmetric maximally entangled state, comprising two two-dimensional photons and one four-dimensional photon. Using this state, we conducted a proof-of-principle experiment, successfully transferring a four-dimensional quantum state from two photons to another photon with fidelities ranging from 0.78 to 0.86. These results exceed theoretical limits, demonstrating genuine four-dimensional quantum state transfer. The asymmetric entangled state demonstrated here holds promise for future quantum networks as a quantum interface facilitating information transfer across quantum systems with different dimensions. [ABSTRACT FROM AUTHOR]

The article presents a study which develops new method for the quantum simulation of Hamiltonian spectra using eigenstate witness. Topics include the calculation of the eigenvalues for both ground and excited states, the scalability and performance of the eigenstate witness in simulating complex Hamiltonians, and the positive implication of the approach in quantum chemistry.