Hybrid Tree Tensor Networks for Quantum Simulation by Julian Schuhmacher, Marco Ballarin, Alberto Baiardi, Giuseppe Magnifico, Francesco Tacchino, Simone Montangero, Ivano Tavernelli

“…Hybrid tensor networks (hTNs) offer a promising solution for encoding variational quantum states beyond the capabilities of efficient classical methods or noisy quantum computers alone. …”
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Quantum metrology using quantum combs and tensor network formalism by Stanisław Kurdziałek, Piotr Dulian, Joanna Majsak, Sagnik Chakraborty, Rafał Demkowicz-Dobrzański

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Relation Classification via Recurrent Neural Network with Attention and Tensor Layers by Runyan Zhang, Fanrong Meng, Yong Zhou, Bing Liu

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Macroproperties vs. microstates in the classical simulation of critical phenomena in quench dynamics of 1D Ising models by Anupam Mitra, Tameem Albash, Philip Daniel Blocher, Jun Takahashi, Akimasa Miyake, Grant Biedermann, Ivan H Deutsch

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Quantum-inspired fluid simulation of two-dimensional turbulence with GPU acceleration by Leonhard Hölscher, Pooja Rao, Lukas Müller, Johannes Klepsch, Andre Luckow, Tobias Stollenwerk, Frank K. Wilhelm

“…Tensor network algorithms can efficiently simulate complex quantum many-body systems by utilizing knowledge of their structure and entanglement. …”
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Growth of a Renormalized Operator as a Probe of Chaos by Xing Huang, Binchao Zhang

“…The first one is a MERA-like tensor network built from a random unitary circuit with the operator size defined using the integrated out-of-time-ordered correlator (OTOC). …”
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Parallelizing Quantum Simulation With Decision Diagrams by Shaowen Li, Yusuke Kimura, Hiroyuki Sato, Masahiro Fujita

“…However, their advantage of memory efficiency does not let it replace the mainstream statevector and tensor network-based approaches. We argue the reason is the lack of effective parallelization strategies in performing calculations on DDs. …”
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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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Interpreting convolutional neural networks' low-dimensional approximation to quantum spin systems by Yilong Ju, Shah Saad Alam, Jonathan Minoff, Fabio Anselmi, Han Pu, Ankit Patel

“…For the final part of the puzzle, inspired by similar analyses for matrix product states and tensor networks, we show that the CNNs rely on the spectrum of each subsystem's entanglement Hamiltonians as captured by the size of the convolutional filter. …”
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Classical and quantum algorithms for many-body problems by Ayral, Thomas

“…In particular, we begin by showing how tensor networks, often used as reference tools to gauge the interest of quantum methods, can also be used to initialize a quantum computation, in addition to simulating it realistically. …”
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Entanglement negativity and replica symmetry breaking in general holographic states by Xi Dong, Jonah Kudler-Flam, Pratik Rath

“…Abstract The entanglement negativity E $$ \mathcal{E} $$ (A : B) is a useful measure of quantum entanglement in bipartite mixed states. In random tensor networks (RTNs), which are related to fixed-area states, it was found in ref. [1] that the dominant saddles computing the even Rényi negativity E 2 k $$ {\mathcal{E}}^{(2k)} $$ generically break the ℤ 2k replica symmetry. …”
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