Random Quantum Circuits
TL;DR: In this article , the authors present a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena far from equilibrium. But their model is not suitable for quantum information and entanglement.
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Abstract: Quantum circuits—built from local unitary gates and local measurements—are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena far from equilibrium. These models have shed light on longstanding questions about thermalization and chaos, and on the underlying universal dynamics of quantum information and entanglement. In addition, such models generate new sets of questions and give rise to phenomena with no traditional analog, such as dynamical phase transitions in quantum systems that are monitored by an external observer. Quantum circuit dynamics is also topical in view of experimental progress in building digital quantum simulators that allow control of precisely these ingredients. Randomness in the circuit elements allows a high level of theoretical control, with a key theme being mappings between real-time quantum dynamics and effective classical lattice models or dynamical processes. Many of the universal phenomena that can be identified in this tractable setting apply to much wider classes of more structured many-body dynamics. Expected final online publication date for the Annual Review of Condensed Matter Physics, Volume 14 is March 2023. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.
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Measurement-induced entanglement and teleportation on a noisy quantum processor
Jesse C. Hoke,Mattia Ippoliti,E. Rosenberg,Dmitry A. Abanin,Rajeev Acharya,T. I. Andersen,M. Ansmann,Frank Arute,Kunal Arya,Abraham Asfaw,Juan Atalaya,Joseph C. Bardin,Andreas Bengtsson,Gina Bortoli,Alexandre Bourassa,Jenna Bovaird,L. Brill,M. Broughton,Alexandre Bourassa,D. A. Buell,T. Burger,Brian Burkett,Nicholas Bushnell,Z. Chen,B. Chiaro,D. Chik,J. Cogan,Roberto Collins,P. Conner,William Courtney,A. L. Crook,Ben Curtin,Alejandro Grajales Dau,D. M. Debroy,Alexander Del Toro Barba,Sean Demura,Agustín Di Paolo,Ilya Drozdov,A. Dunsworth,Daniel Eppens,Catherine Erickson,Edward Farhi,R. Fatemi,V. S. Ferreira,Leslie Flores Burgos,Ebrahim Forati,A. G. Fowler,Brooks Foxen,W. Giang,Craig Gidney,D. Gilboa,Marissa Giustina,Raja Gosula,Jonathan A. Gross,Steve Habegger,M. C. Hamilton,M. Hansen,Matthew P. Harrigan,S. D. Harrington,P. Heu,Markus R. Hoffmann,Sabrina Hong,Trent Huang,Ashley Huff,William J. Huggins,S. V. Isakov,Justin Iveland,E. Jeffrey,Jiang Zhang,Cody Jones,Pavol Juhás,Dvir Kafri,K. Kechedzhi,Tanuj Khattar,Mostafa Khezri,M. Kieferová,S. Kim,Alexei Kitaev,P. V. Klimov,A. R. Klots,A. N. Korotkov,F. Kostritsa,John Mark Kreikebaum,David Landhuis,Pavel Laptev,K.-M. Lau,Lily Laws,J. Lee,K. W. Lee,Y. D. Lensky,B. J. Lester,Alexander Lill,W. Liu,Aditya Locharla,Orion Martin,Jarrod R. McClean,Matt McEwen,Kevin C. Miao,A. Mieszala,Shirin Montazeri,Alexis Morvan,R. Movassagh,Wojciech Mruczkiewicz,M. Neeley,Charles Neill,A. Nersisyan,Michael Newman,Jiun How Ng,A. Nguyen,Murray Nguyen,Murphy Yuezhen Niu,Thomas E. O’Brien,S. Omonije,Alex Opremcak,Andre Petukhov,R. Potter,Leonid P. Pryadko,Chris Quintana,C. Rocque,N. C. Rubin,Negar Saei,D. Sank,Kannan Sankaragomathi,Kevin J. Satzinger,Henry F. Schurkus,C. Schuster,M. J. Shearn,Aaron Shorter,Noah Shutty,Vladimir Shvarts,Jindra Skruzny,W. C. Smith,Rolando D. Somma,G. Sterling,Doug Strain,Marco Szalay,A. Torres,Guifré Vidal,B. Villalonga,Catherine Vollgraff Heidweiller,Theodore C. White,B. W. K. Woo,C. Xing,Z. Jamie Yao,P. Yeh,Juhwan Yoo,G. Young,Adam Zalcman,Y. Zhang,Ningfeng Zhu,Nicholas Zobrist,Hartmut Neven,Ryan Babbush,Dave Bacon,Sergio Boixo,Jeremy Hilton,Erik Lucero,A. Megrant,J. Kelly,Y. Chen,Vadim Smelyanskiy,Xiao Mi,Vedika Khemani,P. Roushan +163 more
TL;DR: Measurement-induced entanglement and teleportation on a noisy quantum processor explores the effects of measurement on quantum systems and its potential for teleportation and emergent patterns. Experimental challenges are addressed and a phase transition is observed on a noisy quantum processor.
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References
A mathematical theory of communication
TL;DR: This final installment of the paper considers the case where the signals or the messages or both are continuously variable, in contrast with the discrete nature assumed until now.
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TL;DR: This paper introduces the basic concepts of quantum computation and quantum simulation and presents quantum algorithms that are known to be much faster than the available classic algorithms and provides a statistical framework for the analysis of quantum algorithms and quantum Simulation.
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TL;DR: In this paper, an updated version of supplementary information to accompany "Quantum supremacy using a programmable superconducting processor", an article published in the October 24, 2019 issue of Nature, is presented.