Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Milad Marvian"'
Publikováno v:
Physical Review Research, Vol 6, Iss 3, p 033019 (2024)
We propose Hamiltonian quantum generative adversarial networks (HQuGANs) to learn to generate unknown input quantum states using two competing quantum optimal controls. The game-theoretic framework of the algorithm is inspired by the success of class
Externí odkaz:
https://doaj.org/article/3da5a67f6e344ed1b8b2b473292feb34
Publikováno v:
PRX Quantum, Vol 4, Iss 1, p 010309 (2023)
The impressive progress in quantum hardware of the last years has raised the interest of the quantum computing community in harvesting the computational power of such devices. However, in the absence of error correction, these devices can only reliab
Externí odkaz:
https://doaj.org/article/434b19755ca9417f8d59daa432ffb75e
Publikováno v:
Nature Communications, Vol 10, Iss 1, Pp 1-9 (2019)
Non-stoquastic Hamiltonians are known to be hard to simulate due to the infamous sign problem. Here, the authors study the computational complexity of transforming such Hamiltonians into stoquastic ones and prove that the task is NP-complete even for
Externí odkaz:
https://doaj.org/article/96e743e627034c41bbc3b4c77ded3315
Publikováno v:
De Palma, G, Marvian, M, Rouzé, C & França, D S 2023, ' Limitations of Variational Quantum Algorithms : A Quantum Optimal Transport Approach ', PRX Quantum, vol. 4, no. 1, 010309 . https://doi.org/10.1103/PRXQuantum.4.010309
The impressive progress in quantum hardware in the last years has raised the interest of the quantum computing community in harvesting the computational power of such devices. However, in the absence of error correction, these devices can only reliab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7afbceceb7925facd5a759b1c867ce2
http://arxiv.org/abs/2204.03455
http://arxiv.org/abs/2204.03455
Autor:
Bobak Toussi Kiani, Giacomo De Palma, Dirk Englund, William Kaminsky, Milad Marvian, Seth Lloyd
Publikováno v:
Physical Review A. 105
Quantum algorithms for differential equation solving, data processing, and machine learning potentially offer an exponential speedup over all known classical algorithms. However, there also exist obstacles to obtaining this potential speedup in usefu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f52d03b6b5925b1782b0bfaadf126de4
https://doi.org/10.1103/physreva.105.022415
https://doi.org/10.1103/physreva.105.022415
Quantifying how far the output of a learning algorithm is from its target is an essential task in machine learning. However, in quantum settings, the loss landscapes of commonly used distance metrics often produce undesirable outcomes such as poor lo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9016d81ac06d4aa74d69296c46d1e5ee
http://arxiv.org/abs/2101.03037
http://arxiv.org/abs/2101.03037
We propose a generalization of the Wasserstein distance of order 1 to the quantum states of n qudits. The proposal recovers the Hamming distance for the vectors of the canonical basis, and more generally the classical Wasserstein distance for quantum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6730b6240aa0f6765dd3ae12c0453ccb
https://hdl.handle.net/11384/107627
https://hdl.handle.net/11384/107627
Publikováno v:
SIAM Journal on Computing, 49(6)
SIAM Journal on Computing
SIAM Journal on Computing
We examine the problem of determining whether a multi-qubit two-local Hamiltonian can be made stoquastic by single-qubit unitary transformations. We prove that when such a Hamiltonian contains one-local terms, then this task can be NP-hard. This is s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::069961e9b4e23b509c04b26561e1ccde
http://arxiv.org/abs/1906.08800
http://arxiv.org/abs/1906.08800
Publikováno v:
Nature Communications, Vol 10, Iss 1, Pp 1-9 (2019)
Nature Communications
Nature Communications
Quantum many-body systems whose Hamiltonians are non-stoquastic, i.e., have positive off-diagonal matrix elements in a given basis, are known to pose severe limitations on the efficiency of Quantum Monte Carlo algorithms designed to simulate them, du
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf4633e42a1765ec1463958728b959d1
https://doi.org/10.1038/s41467-019-09501-6
https://doi.org/10.1038/s41467-019-09501-6
Simulating high-weight Hamiltonians can convert local noise on the original Hamiltonian into undesirable nonlocal noise on the simulated Hamiltonian. Here we show how starting from two-local Hamiltonian in the presence of non-Markovian noise, a desir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a1dd0f1aa0e692bd34343152676a3da
http://arxiv.org/abs/1707.08258
http://arxiv.org/abs/1707.08258