scholarly journals Optimized contraction scheme for tensor-network states

2017 ◽  
Vol 96 (4) ◽  
Author(s):  
Z. Y. Xie ◽  
H. J. Liao ◽  
R. Z. Huang ◽  
H. D. Xie ◽  
J. Chen ◽  
...  
Keyword(s):  
Tensor Network ◽  
Contraction Scheme ◽  
Network States ◽  
Tensor Network States

scholarly journals Computable Rényi mutual information: Area laws and correlations

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 541
Author(s):  
Samuel O. Scalet ◽  
Álvaro M. Alhambra ◽  
Georgios Styliaris ◽  
J. Ignacio Cirac
Keyword(s):  
Mutual Information ◽  
Correlation Functions ◽  
Quantum Correlations ◽  
Matrix Product ◽  
Many Body ◽  
Von Neumann ◽  
Tensor Network ◽  
Network States ◽  
Tensor Network States ◽  
Area Law

The mutual information is a measure of classical and quantum correlations of great interest in quantum information. It is also relevant in quantum many-body physics, by virtue of satisfying an area law for thermal states and bounding all correlation functions. However, calculating it exactly or approximately is often challenging in practice. Here, we consider alternative definitions based on Rényi divergences. Their main advantage over their von Neumann counterpart is that they can be expressed as a variational problem whose cost function can be efficiently evaluated for families of states like matrix product operators while preserving all desirable properties of a measure of correlations. In particular, we show that they obey a thermal area law in great generality, and that they upper bound all correlation functions. We also investigate their behavior on certain tensor network states and on classical thermal distributions.

scholarly journals Plaquette renormalization scheme for tensor network states

2011 ◽  
Vol 83 (5) ◽  
Author(s):  
Ling Wang ◽  
Ying-Jer Kao ◽  
Anders W. Sandvik
Keyword(s):  
Renormalization Scheme ◽  
Tensor Network ◽  
Network States ◽  
Tensor Network States

scholarly journals Universal photonic quantum computation via time-delayed feedback

2017 ◽  
Vol 114 (43) ◽  
pp. 11362-11367 ◽  
Author(s):  
Hannes Pichler ◽  
Soonwon Choi ◽  
Peter Zoller ◽  
Mikhail D. Lukin
Keyword(s):  
Single Atom ◽  
Many Body ◽  
Cluster States ◽  
Quantum Emitter ◽  
Tensor Network ◽  
Quantum Feedback ◽  
Network States ◽  
Tensor Network States ◽  
Photonic Quantum Computation ◽  
Time Delayed Feedback

We propose and analyze a deterministic protocol to generate two-dimensional photonic cluster states using a single quantum emitter via time-delayed quantum feedback. As a physical implementation, we consider a single atom or atom-like system coupled to a 1D waveguide with a distant mirror, where guided photons represent the qubits, while the mirror allows the implementation of feedback. We identify the class of many-body quantum states that can be produced using this approach and characterize them in terms of 2D tensor network states.

scholarly journals Fermionic Orbital Optimization in Tensor Network States

2016 ◽  
Vol 117 (21) ◽  
Author(s):  
C. Krumnow ◽  
L. Veis ◽  
Ö. Legeza ◽  
J. Eisert
Keyword(s):  
Orbital Optimization ◽  
Tensor Network ◽  
Network States ◽  
Tensor Network States

scholarly journals Proposal for Quantum Simulation via All-Optically-Generated Tensor Network States

2018 ◽  
Vol 120 (13) ◽  
Author(s):  
I. Dhand ◽  
M. Engelkemeier ◽  
L. Sansoni ◽  
S. Barkhofen ◽  
C. Silberhorn ◽  
...  
Keyword(s):  
Quantum Simulation ◽  
Tensor Network ◽  
Network States ◽  
Tensor Network States

scholarly journals Concatenated tensor network states

2010 ◽  
Vol 12 (2) ◽  
pp. 025004 ◽  
Author(s):  
R Hübener ◽  
V Nebendahl ◽  
W Dür
Keyword(s):  
Tensor Network ◽  
Network States ◽  
Tensor Network States

Tensor network states and ground-state fidelity for quantum spin ladders

2012 ◽  
Vol 86 (6) ◽  
Author(s):  
Sheng-Hao Li ◽  
Qian-Qian Shi ◽  
Yao-Heng Su ◽  
Jin-Hua Liu ◽  
Yan-Wei Dai ◽  
...  
Keyword(s):  
Ground State ◽  
Quantum Spin ◽  
Tensor Network ◽  
Network States ◽  
Tensor Network States

scholarly journals Generalized Lanczos method for systematic optimization of tensor network states

2018 ◽  
Vol 27 (7) ◽  
pp. 070501 ◽  
Author(s):  
Rui-Zhen Huang ◽  
Hai-Jun Liao ◽  
Zhi-Yuan Liu ◽  
Hai-Dong Xie ◽  
Zhi-Yuan Xie ◽  
...  
Keyword(s):  
Lanczos Method ◽  
Tensor Network ◽  
Systematic Optimization ◽  
Network States ◽  
Tensor Network States
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