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Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
TLDR
In this paper, a matrix product states-based approach is proposed for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. But the method is applied to one-dimensional chains of nearest-neighbor interacting hard-core bosons.Abstract:
We propose a method, based on matrix product states, for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. Both the frequency and the strength of generalized measurements can be varied within our scheme, thus allowing us to explore the corresponding two-dimensional phase diagram. The method is applied to one-dimensional chains of nearest-neighbor interacting hard-core bosons. A transition from an entangling to a disentangling (area-law) phase is found. However, by resolving time-dependent density correlations in the monitored system, we find important differences between different regions at the phase boundary. In particular, we observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.read more
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References
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Quantum entanglement
TL;DR: In this article, the basic aspects of entanglement including its characterization, detection, distillation, and quantification are discussed, and a basic role of entonglement in quantum communication within distant labs paradigm is discussed.
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Entanglement entropy and quantum field theory
Pasquale Calabrese,John Cardy +1 more
TL;DR: In this article, a systematic study of entanglement entropy in relativistic quantum field theory is carried out, where the von Neumann entropy is defined as the reduced density matrix ρA of a subsystem A of a 1+1-dimensional critical system, whose continuum limit is a conformal field theory with central charge c, and the results are verified for a free massive field theory.
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The density-matrix renormalization group in the age of matrix product states
TL;DR: The density matrix renormalization group method (DMRG) has established itself over the last decade as the leading method for the simulation of the statics and dynamics of one-dimensional strongly correlated quantum lattice systems as mentioned in this paper.
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Quantum supremacy using a programmable superconducting processor
Frank Arute,Kunal Arya,Ryan Babbush,Dave Bacon,Joseph C. Bardin,Joseph C. Bardin,Rami Barends,Rupak Biswas,Sergio Boixo,Fernando G. S. L. Brandão,Fernando G. S. L. Brandão,David A. Buell,B. Burkett,Yu Chen,Zijun Chen,Ben Chiaro,Roberto Collins,William Courtney,Andrew Dunsworth,Edward Farhi,Brooks Foxen,Brooks Foxen,Austin G. Fowler,Craig Gidney,Marissa Giustina,R. Graff,Keith Guerin,Steve Habegger,Matthew P. Harrigan,Michael J. Hartmann,Michael J. Hartmann,Alan Ho,Markus R. Hoffmann,Trent Huang,Travis S. Humble,Sergei V. Isakov,Evan Jeffrey,Zhang Jiang,Dvir Kafri,Kostyantyn Kechedzhi,Julian Kelly,Paul V. Klimov,Sergey Knysh,Alexander N. Korotkov,Alexander N. Korotkov,Fedor Kostritsa,David Landhuis,Mike Lindmark,E. Lucero,Dmitry I. Lyakh,Salvatore Mandrà,Jarrod R. McClean,Matt McEwen,Anthony Megrant,Xiao Mi,Kristel Michielsen,Kristel Michielsen,Masoud Mohseni,Josh Mutus,Ofer Naaman,Matthew Neeley,Charles Neill,Murphy Yuezhen Niu,Eric Ostby,Andre Petukhov,John Platt,Chris Quintana,Eleanor Rieffel,Pedram Roushan,Nicholas C. Rubin,Daniel Sank,Kevin J. Satzinger,Vadim Smelyanskiy,Kevin J. Sung,Kevin J. Sung,Matthew D. Trevithick,Amit Vainsencher,Benjamin Villalonga,Benjamin Villalonga,Theodore White,Z. Jamie Yao,Ping Yeh,Adam Zalcman,Hartmut Neven,John M. Martinis,John M. Martinis +85 more
TL;DR: Quantum supremacy is demonstrated using a programmable superconducting processor known as Sycamore, taking approximately 200 seconds to sample one instance of a quantum circuit a million times, which would take a state-of-the-art supercomputer around ten thousand years to compute.
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Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
TL;DR: In this paper, the authors give an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems, particularly focusing on quantum quenches: the temporal evolution following a sudden or slow change of the coupling constants of the system Hamiltonian.