scholarly journals Tensor network simulation of QED on infinite lattices: Learning from (1+1) d , and prospects for (2+1) d

2017 ◽  
Vol 95 (11) ◽  
Author(s):  
Kai Zapp ◽  
Román Orús
Keyword(s):  
Network Simulation ◽  
Tensor Network ◽  
Infinite Lattices

scholarly journals Tensor network simulation of polaron-polaritons in organic microcavities

2018 ◽  
Vol 98 (16) ◽  
Author(s):  
Javier del Pino ◽  
Florian A. Y. N. Schröder ◽  
Alex W. Chin ◽  
Johannes Feist ◽  
Francisco J. Garcia-Vidal
Keyword(s):  
Network Simulation ◽  
Tensor Network

scholarly journals Simulating boson sampling in lossy architectures

Quantum ◽  
2019 ◽  
Vol 3 ◽  
pp. 169 ◽  
Author(s):  
Raúl García-Patrón ◽  
Jelmer J. Renema ◽  
Valery Shchesnovich
Keyword(s):  
Optical Fibers ◽  
Polynomial Time ◽  
Exponential Decay ◽  
Thermal Noise ◽  
Network Simulation ◽  
Single Photons ◽  
Linear Optics ◽  
Photonic Circuits ◽  
Tensor Network ◽  
Boson Sampling

Photon losses are among the strongest imperfections affecting multi-photon interference. Despite their importance, little is known about their effect on boson sampling experiments. In this work we show that using classical computers, one can efficiently simulate multi-photon interference in all architectures that suffer from an exponential decay of the transmission with the depth of the circuit, such as integrated photonic circuits or optical fibers. We prove that either the depth of the circuit is large enough that it can be simulated by thermal noise with an algorithm running in polynomial time, or it is shallow enough that a tensor network simulation runs in quasi-polynomial time. This result suggests that in order to implement a quantum advantage experiment with single-photons and linear optics new experimental platforms may be needed.

scholarly journals Erratum: Tensor Network Simulation of Non-Markovian Dynamics in Organic Polaritons [Phys. Rev. Lett. 121 , 227401 (2018)]

2019 ◽  
Vol 122 (15) ◽  
Author(s):  
Javier del Pino ◽  
Florian A. Y. N. Schröder ◽  
Alex W. Chin ◽  
Johannes Feist ◽  
Francisco J. Garcia-Vidal
Keyword(s):  
Network Simulation ◽  
Markovian Dynamics ◽  
Tensor Network

scholarly journals Tensor network simulation of the ( 1+1 )-dimensional O(3) nonlinear σ -model with θ=π term

2021 ◽  
Vol 104 (11) ◽  
Author(s):  
Wei Tang ◽  
X. C. Xie ◽  
Lei Wang ◽  
Hong-Hao Tu
Keyword(s):  
Network Simulation ◽  
Tensor Network

scholarly journals Tensor network simulation of an SU(3) lattice gauge theory in 1D

2019 ◽  
Vol 100 (7) ◽  
Author(s):  
Pietro Silvi ◽  
Yannick Sauer ◽  
Ferdinand Tschirsich ◽  
Simone Montangero
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Network Simulation ◽  
Lattice Gauge ◽  
Tensor Network
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