Linear optical demonstration of quantum speed-up with a single qudit

Abstract

Though quantum algorithm acts as an important role in quantum computation science, not only for providing a great vision for solving classically unsolvable problems, but also due to the fact that it gives a potential way of understanding quantum physics, the origin of the power of quantum algorithm is still an open question. Non-classical correlation is regarded as the most possible answer for the open question. However we experimentally realize a quantum speed-up algorithm on four-level system with linear optical elements and prove that even a single qudit is enough for designing an oracle-based algorithm which can solve a model problem twice faster than any classical algorithm. The algorithm can be generalized to higher dimensional qudits with the same two-to-one speed-up ratio.

5 pages, 3 figures

References in corpus (4)

• Quantum algorithm for solving linear systems of equations
• Photonic Boson Sampling in a Tunable Circuit
• Determining the parity of a permutation using an experimental NMR qutrit
• Experimental Realization of a One-way Quantum Computer Algorithm Solving Simon's Problem

Cited by in corpus (8)

• Qudits and high-dimensional quantum computing
• Computational speed-up with a single qudit
• Computational speed-up in a single qudit NMR quantum information processor
• Experimental investigation of the stronger uncertainty relations for all incompatible observables
• Enhanced violations of Leggett-Garg inequalities in an experimental three-level system
• Optimization and experimental realization of the quantum permutation algorithm
• Compilation of Entangling Gates for High-Dimensional Quantum Systems
• N-qubit universal quantum logic with a photonic qudit and O(N) linear optics elements