The complexity analysis is similar to above. The only new ingredient is the quantum circuits to evaluate the partial derivatives. w.r.t. ✓i,j due to [36], which ...
Apr 23, 2024 · We also give construction protocols achieving near-optimal gate complexities. On the other hand, the construction becomes efficient with respect ...
... Wasserstein complexity of quantum circuits, arXiv preprintarXiv:2208.06306 (2022); Araiza, R., Chen, Y., Junge, M., Wu, P.: Resource-dependent complexity of ...
Sep 9, 2024 · In this work, we present a VQCC-objective function called the quantum Wasserstein compilation (QWC) cost function based on the quantum ...
Moreover, we derive bounds on the contraction coefficients of shallow quantum circuits and of the tensor product of one-qudit quantum channels with respect to ...
Wasserstein Complexity of Quantum Circuits. L Li, K Bu, DE Koh, A Jaffe, S Lloyd. arXiv preprint arXiv:2208.06306, 2022. 16, 2022. Classical simulation of ...
Quantum Science and Technology 8 (2), 025013, 2023. 17, 2023. Wasserstein complexity of quantum circuits. L Li, K Bu, DE Koh, A Jaffe, S Lloyd. arXiv preprint ...
“Wasserstein complexity of quantum circuits”. arXiv: 2208.06306 (2022). [53] Bobak Toussi Kiani, Giacomo De Palma, Milad. Marvian, Zi-Wen Liu, and Seth Lloyd ...
• Computational capabilities of shallow quantum circuits. • Design of quantum error correcting codes. • Quantum rate-distortion theory. • Mixing time of ...
The creation complexity of quantum states is closely related to the complexity of quantum circuits, which is crucial in developing efficient quantum algorithms ...