Zobrazeno 1 - 10
of 138
pro vyhledávání: '"D Somma"'
Publikováno v:
SciPost Physics, Vol 17, Iss 5, p 145 (2024)
Calculating dynamical spin correlations is essential for matching model magnetic exchange Hamiltonians to momentum-resolved spectroscopic measurements. A major numerical bottleneck is the diagonalization of the dynamical matrix, especially in systems
Externí odkaz:
https://doaj.org/article/d64ade77dede43e281337df0115c5e4b
Autor:
Alexander Zlokapa, Rolando D. Somma
Publikováno v:
Quantum, Vol 8, p 1449 (2024)
We consider the task of simulating time evolution under a Hamiltonian $H$ within its low-energy subspace. Assuming access to a block-encoding of $H':=(H-E)/\lambda$, for some $\lambda \gt 0$ and $E \in \mathbb R$, the goal is to implement an $\epsilo
Externí odkaz:
https://doaj.org/article/ea3f8b95cb28478c9a4eb8379152a4fd
Publikováno v:
Physical Review X, Vol 13, Iss 4, p 041041 (2023)
We present a quantum algorithm for simulating the classical dynamics of 2^{n} coupled oscillators (e.g., 2^{n} masses coupled by springs). Our approach leverages a mapping between the Schrödinger equation and Newton’s equation for harmonic potenti
Externí odkaz:
https://doaj.org/article/f8c8665b61264185a1362bda1ff9f5df
Autor:
Burak Şahinoğlu, Rolando D. Somma
Publikováno v:
npj Quantum Information, Vol 7, Iss 1, Pp 1-5 (2021)
Abstract We study the problem of simulating the dynamics of spin systems when the initial state is supported on a subspace of low energy of a Hamiltonian H. This is a central problem in physics with vast applications in many-body systems and beyond,
Externí odkaz:
https://doaj.org/article/0abb0e983c9f48f5aa8ef9d679deeb4c
Publikováno v:
Quantum, Vol 6, p 825 (2022)
Fluctuation theorems provide a correspondence between properties of quantum systems in thermal equilibrium and a work distribution arising in a non-equilibrium process that connects two quantum systems with Hamiltonians $H_0$ and $H_1=H_0+V$. Buildin
Externí odkaz:
https://doaj.org/article/b55353dc375f4738951498ac7d03922f
Publikováno v:
Quantum, Vol 5, p 577 (2021)
We investigate the problem of fast-forwarding quantum evolution, whereby the dynamics of certain quantum systems can be simulated with gate complexity that is sublinear in the evolution time. We provide a definition of fast-forwarding that considers
Externí odkaz:
https://doaj.org/article/2516002ebd8842d18afaeda593c3a6a0
Autor:
Hoke, Jesse C., Ippoliti, Matteo, Abanin, Dmitry, Acharya, Rajeev, Ansmann, Markus, Arute, Frank, Arya, Kunal, Asfaw, Abraham, Atalaya, Juan, Bardin, Joseph C., Bengtsson, Andreas, Bortoli, Gina, Bourassa, Alexandre, Bovaird, Jenna, Brill, Leon, Broughton, Michael, Buckley, Bob B., Buell, David A., Burger, Tim, Burkett, Brian, Bushnell, Nicholas, Chen, Zijun, Chiaro, Ben, Chik, Desmond, Chou, Charina, Cogan, Josh, Collins, Roberto, Conner, Paul, Courtney, William, Crook, Alexander L., Curtin, Ben, Dau, Alejandro Grajales, Debroy, Dripto M., Barba, Alexander Del Toro, Demura, Sean, Di Paolo, Augustin, Drozdov, Ilya K., Dunsworth, Andrew, Eppens, Daniel, Erickson, Catherine, Faoro, Lara, Farhi, Edward, Fatem, Reza, Ferreira, Vinicius S., Burgos, Leslie Flores, Forati, Ebrahim, Fowler, Austin G., Foxen, Brooks, Giang, William, Gidney, Craig, Gilboa, Dar, Giustina, Marissa, Gosula, Raja, Gross, Jonathan A., Habegger, Steve, Hamilton, Michael C., Hansen, Monica, Harrigan, Matthew P., Harrington, Sean D., Heu, Paula, Hoffmann, Markus R., Hong, Sabrina, Huang, Trent, Huff, Ashley, Huggins, William J., Isakov, Sergei V., Iveland, Justin, Jeffr, Evan, Jones, Cody, Juhas, Pavol, Kafri, Dvir, Kechedzhi, Kostyantyn, Khattar, Tanuj, Khezri, Mostafa, Kieferová, Mária, Kim, Seon, Kitaev, Alexei, Klimov, Paul V., Klots, Andrey R., Korotkov, Alexander N., Kostritsa, Fedor, Kreikebaum, John Mark, Landhuis, David, Laptev, Pavel, Lau, Kim-Ming, Laws, Lily, Lee, Joonho, Lee, Kenny W., Lensky, Yuri D., Lester, Brian J., Lill, Alexander T., Liu, Wayne, Locharla, Aditya, Malone, Fionn D., Martin, Orion, McClean, Jarrod R., McCourt, Trevor, McEwen, Matt, Miao, Kevin C., Mieszala, Amanda, Montazeri, Shirin, Morvan, Alexis, Movassagh, Ramis, Mruczkiewicz, Wojciech, Neeley, Matthew, Neill, Charles, Nersisyan, Ani, Newman, Michael, Ng, Jiun H., Nguyen, Anthony, Nguyen, Murray, Niu, Murphy Yuezhen, O'Brien, Tom E., Omonije, Seun, Opremcak, Alex, Petukhov, Andre, Potter, Rebecca, Pryadko, Leonid P., Quintana, Chris, Rocque, Charles, Rubin, Nicholas C., Sank, Negar Saei Daniel, Sankaragomathi, Kannan, Satzinger, Kevin J., Schurkus, Henry F., Schuster, Christopher, Shearn, Michael J., Shorter, Aaron, Shutty, Noah, Shvarts, Vlad, Skruzny, Jindra, Smith, W. Clarke, Sterling, Rolando D. Somma George, Strain, Douglas, Szalay, Marco, Torres, Alfredo, Vidal, Guifre, Villalonga, Benjamin, Heidweiller, Catherine Vollgraff, White, Ted, Woo, Bryan W. K., Xing, Cheng, Yao, Z. Jamie., Yeh, Ping, Yoo, Juhwan, Young, Grayson, Zalcman, Adam, Zhang, Yaxing, Zhu, Ningfeng, Zobrist, Nicholas, Neven, Harmut, Babbush, Ryan, Bacon, Dave, Boixo, Sergio, Hilton, Jeremy, Lucero, Erik, Megrant, Anthony, Kelly, Julian, Chen, Yu, Smelyanskiy, Vadim, Mi, Xiao, Khemani, Vedika, Roushan, Pedram
Measurement has a special role in quantum theory: by collapsing the wavefunction it can enable phenomena such as teleportation and thereby alter the "arrow of time" that constrains unitary evolution. When integrated in many-body dynamics, measurement
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e751e3c89ca9e4fea2c6396adc29915
http://arxiv.org/abs/2303.04792
http://arxiv.org/abs/2303.04792
Autor:
Rolando D. Somma, Yiğit Subaşı
Publikováno v:
PRX Quantum, Vol 2, Iss 1, p 010315 (2021)
We analyze the complexity of quantum state verification in the context of solving systems of linear equations of the form Ax[over →]=b[over →]. We show that any quantum operation that verifies whether a given quantum state is within a constant di
Externí odkaz:
https://doaj.org/article/55a96161f16a41f5b294a603c60909ea
Autor:
D Somma, M Spears, L V Wain, R J Allen, O C Leavy, B Gooptu, S J Bourke, M Kurowska-Stolarska, C Mcsharry
Publikováno v:
03.01 - Molecular pathology and functional genomics.
Publikováno v:
Forum of Mathematics, Sigma, Vol 5 (2017)
We provide a quantum algorithm for simulating the dynamics of sparse Hamiltonians with complexity sublogarithmic in the inverse error, an exponential improvement over previous methods. Specifically, we show that a $d$ -sparse Hamiltonian $H$ acting
Externí odkaz:
https://doaj.org/article/f5a175ce6770417dac0b6d9972b627e8