scholarly journals Tensor network simulation of the phase diagram of the frustratedJ1-J2Heisenberg model on a checkerboard lattice

2011 ◽  
Vol 84 (22) ◽  
Author(s):  
Y.-H. Chan ◽  
Y.-J. Han ◽  
L.-M. Duan
Keyword(s):  
Phase Diagram ◽  
Network Simulation ◽  
Tensor Network

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 On tensor network representations of the (3+1)d toric code

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 604
Author(s):  
Clement Delcamp ◽  
Norbert Schuch
Keyword(s):  
Phase Diagram ◽  
Ground State ◽  
Degrees Of Freedom ◽  
Point Of View ◽  
Topological Properties ◽  
Tensor Network ◽  
Toric Code

We define two dual tensor network representations of the (3+1)d toric code ground state subspace. These two representations, which are obtained by initially imposing either family of stabilizer constraints, are characterized by different virtual symmetries generated by string-like and membrane-like operators, respectively. We discuss the topological properties of the model from the point of view of these virtual symmetries, emphasizing the differences between both representations. In particular, we argue that, depending on the representation, the phase diagram of boundary entanglement degrees of freedom is naturally associated with that of a (2+1)d Hamiltonian displaying either a global or a gauge Z2-symmetry.

scholarly journals A tensor network study of the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice

2017 ◽  
Vol 3 (4) ◽  
Author(s):  
Ido Niesen ◽  
Philippe Corboz
Keyword(s):  
Phase Diagram ◽  
Phase Transitions ◽  
Thermodynamic Limit ◽  
Ground State ◽  
Heisenberg Model ◽  
Magnetic Phase ◽  
Square Lattice ◽  
Ground State Phase Diagram ◽  
Tensor Network

Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic partially magnetic phase in between the antiferroquadrupolar and ferromagnetic regions. Furthermore, we describe all observed phases and discuss the nature of the phase transitions involved.

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
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