Spread of entanglement and causality by Casini, Horacio, Liu, Hong, Mezei, Márk

“…Finally, we construct a geometric model for entanglement propagation based on a tensor network construction for global quenches.…”
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Bifurcation in entanglement renormalization group flow of a gapped spin model by Haah, Jeongwan

“…The disentangling transformations yield a tensor network description for the ground state of the cubic code model. …”
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Suppressing decoherence in quantum plasmonic systems by the spectral-hole-burning effect by You, Jia-Bin, Xiong, Xiao, Bai, Ping, Zhou, Zhang-Kai, Yang, Wan-Li, Png, Ching Eng, Kwek, Leong Chuan, Wu, Lin

“…Based on our quantum simulations via a quantum tensor network algorithm, we numerically demonstrate the mitigation of this restrictive drawback by hybridizing a plasmonic nanocavity with an emitter ensemble with inhomogeneously-broadened transition frequencies. …”
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Entanglement of random hypergraph states by Zhou, You, Hamma, Alioscia

“…In particular, we study the two ensembles generated by random Controlled-Z(CZ) and Controlled-Controlled-Z(CCZ) gates, respectively. By applying tensor network representation and combinational counting, we analytically show that the average subsystem purity and entanglement entropy for the two ensembles feature the same volume law, but greatly differ in typicality, namely the purity fluctuation is small and universal for the CCZ ensemble while it is large for the CZ ensemble. …”
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Sublinear Scaling in Non-Markovian Open Quantum Systems Simulations by Moritz Cygorek, Jonathan Keeling, Brendon W. Lovett, Erik M. Gauger

“…The algorithm we present here not only significantly extends the scope of numerically exact techniques to open quantum systems with long memory times, but it also has fundamental implications for the simulation complexity of tensor network approaches.…”
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Gapped spin liquid with Z[subscript 2] topological order for the kagome Heisenberg model by Mei, Jia-Wei, Chen, Ji-Yao, He, Huan, Wen, Xiao-Gang

“…We apply the symmetric tensor network state (TNS) to study the nearest-neighbor spin-1/2 antiferromagnetic Heisenberg model on the kagome lattice. …”
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Ultrahigh Error Threshold for Surface Codes with Biased Noise by Tuckett, David K., Bartlett, Stephen D., Flammia, Steven Thomas

“…In the limit of pure dephasing noise we find a threshold of 43.7(1)% using a tensor network decoder proposed by Bravyi, Suchara, and Vargo. …”
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Numerical simulation of critical dissipative non-equilibrium quantum systems with an absorbing state by Edward Gillman, Federico Carollo, Igor Lesanovsky

“…For unitary systems, tensor network methods have proved successful and extending these to open systems is a natural avenue for study. …”
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A Quantum-Classical Collaborative Training Architecture Based on Quantum State Fidelity by Ryan L'Abbate, Anthony D'Onofrio, Samuel Stein, Samuel Yen-Chi Chen, Ang Li, Pin-Yu Chen, Juntao Chen, Ying Mao

“…The classical component employs a tensor network for compression and feature extraction, enabling higher dimensional data to be encoded onto logical quantum circuits with limited qubits. …”
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Out of distribution reasoning by weakly-supervised disentangled logic variational autoencoder by Rahiminasab, Zahra, Yuhas, Michael, Easwaran, Arvind

“…Our framework consists of three steps: partitioning data based on observed generative factors, training a VAE as a logic tensor network that satisfies disentanglement rules, and run-time OOD reasoning. …”
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Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: a message from spin waves by Shoji Yamamoto, Jun Ohara

“…In two dimensions, high-temperature series expansions and tensor-network-based renormalization-group calculations are still controversial especially at low temperatures, and under such circumstances, modified spin waves interestingly predict that the specific heat of the kagome-lattice antiferromagnet in the corner-sharing geometry remains having both mid-temperature broad maximum and low-temperature narrow peak in the thermodynamic limit, while the specific heat of the triangular-lattice antiferromagnet in the edge-sharing geometry retains a low-temperature sharp peak followed by a mid-temperature weak anormaly in the thermodynamic limit. …”
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Many-body entanglement in gapped quantum systems : representation, classification, and application by Chen, Xie, Ph. D. Massachusetts Institute of Technology

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Deep learning for sentiment and event-driven REIT price dynamics by Zhao, Yao,M.C.P.Massachusetts Institute of Technology.

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A Proposal of Quantum-Inspired Machine Learning for Medical Purposes: An Application Case by Domenico Pomarico, Annarita Fanizzi, Nicola Amoroso, Roberto Bellotti, Albino Biafora, Samantha Bove, Vittorio Didonna, Daniele La Forgia, Maria Irene Pastena, Pasquale Tamborra, Alfredo Zito, Vito Lorusso, Raffaella Massafra

“…Clinical practice is still far from being reached, even if the flexible structure of quantum-inspired classifier circuits guarantees further developments to rule interactions among features: this preliminary study is solely intended to provide an overview of the particular tree tensor network scheme in a simplified version adopting just product states, as well as to introduce typical machine learning procedures consisting of feature selection and classifier performance evaluation.…”
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q deformed formulation of Hamiltonian SU(3) Yang-Mills theory by Tomoya Hayata, Yoshimasa Hidaka

“…The variational ansatz of the mean-field computation can be represented by the tensor networks called infinite projected entangled pair states. …”
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Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory by Nahum, A, Roy, S, Skinner, B, Ruhman, J

“…For this reason, we make a detour to give general universal results for entanglement phase transitions in a class of random tree tensor networks with bond dimension 2, making a connection with the classical theory of directed polymers on a tree. …”

Constructive simulation and topological design of protocols by Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski

“…We give a topological simulation for tensor networks that we call the two-string model . In this approach we give a new way to design protocols, and we discover a new multipartite quantum communication protocol. …”
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Exploring quantum many-body systems from the viewpoints of quantum computing and spectroscopy by Sun, J

“…I initially establish a quantum computing framework based on hybrid quantum-classical tensor networks, which incorporate the inherent advantages of classical tensor networks and quantum computing to represent the quantum system. …”

Real-time scattering of interacting quasiparticles in quantum spin chains by Maarten Van Damme, Laurens Vanderstraeten, Jacopo De Nardis, Jutho Haegeman, Frank Verstraete

“…We develop a method based on tensor networks to create localized single-particle excitations on top of strongly correlated quantum spin chains. …”
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Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices by Goyeneche, Dardo, Alsina, Daniel, Riera, Arnau, Latorre, Jose Ignacio, Zyczkowski, Karol

“…AME states are known to play a relevant role in multipartite teleportation, in quantum secret sharing, and they provide the basis novel tensor networks related to holography. We present alternative constructions of AME states and show their link with combinatorial designs. …”
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