Tensor network formulation of many-body systems are widely used in various research fields of sciences, bringing theoretical and numerical approaches from a different perspective from the conventional ones. Recently, tensor network-based ideas are also rapidly gaining popularity in the fields such as quantum algorithms, quantum computation, and machine learning. The aim of this workshop is to provide a broad overview of the recent progress based on tensor network formalism, mainly in the fields of particle, nuclear, and condensed matter physics, as well as informatics, to encourage the exchange of information among different communities, and to stimulate new developments in the field of tensor networks.

Event Information

Invited Speakers

Program

Day 1 Monday, December 7th

12:50–13:00
Welcome
13:00–14:00
Tsuyoshi Okubo
Chair: Fathiyya Izzatun Az-zahra
TBA
14:00–14:20
Shoichiro Kado
Chair: Fathiyya Izzatun Az-zahra
Transfer-Matrix Method for Classical Spin Systems with Clifford-Augmented Matrix Product States
14:20–14:40
Akira Matsumoto
Chair: Fathiyya Izzatun Az-zahra
Quantum magic and duality from Clifford-circuit-augmented MPS
14:40–15:10
Break
15:10–15:50
Keisuke Murota Online
Chair: Akira Matsumoto
Embedding Tensor Network Machine Learning Models into Quantum Circuits
15:50–16:10
Ryo Sakai
Chair: Akira Matsumoto
Quantum hardware noise learning via differentiable Kraus representation on tensor networks
16:10–16:40
Break
16:40–17:40
Tilo Wettig and Jacques Bloch Online
Chair: Kohei Fujikura
Tensor networks for QCD in the strong-coupling expansion
17:40–18:00
Yuto Sugimoto
Chair: Kohei Fujikura
Tensor Network approach for (3+1)-dimensional strong coupling QCD at chiral limit

Day 2 Tuesday, December 8th

9:30–10:10
Atsushi Ueda
Chair: Hayato Aizawa
Gauge theory at finite temperature: Interface roughening transition
10:10–10:30
Kengo Kikuchi
Chair: Hayato Aizawa
Tensor Network Formulation of PT-Symmetric Quantum Field Theory
10:30–10:50
Gota Tanaka
Chair: Hayato Aizawa
Tensor renormalization group analysis of entanglement negativity
10:50–11:20
Break
11:20–12:00
Ryo Watanabe
Chair: Tatsuya Yokota
Tensor network surrogate models for variational quantum computation
12:00–12:20
Kayo Kinjo
Co-author: Jun Ohkubo
Chair: Tatsuya Yokota
Finding maximally correlated statistics for probability distributions in tensor-train format
12:20–12:40
Mizokami Yuudai
Chair: Tatsuya Yokota
Analysis of Spatial Hierarchical Structures Using the Quantics Tensor Train: Application to Vlasov Systems
12:40–14:40
Lunch Break
14:40–15:20
Kaito Kobayashi
Chair: TBD
Holographic isometric tensor networks for representing highly entangled one-dimensional quantum systems
15:20–15:40
Feng-Feng Song
Chair: TBD
Tensor network approaches to non-reciprocal lattice models
15:40–16:00
Tomotoshi Nishino
Chair: TBD
Tensor Network picture of the nested Strassen algorithm
16:00–16:15
Break
16:15–17:45
Poster Session
[1] Fathiyya Izzatun Az-zahra
Multi-particle states investigation for (1+1)d real scalar field theory with tensor renormalization group method
[2] Sidharth Rammohan
Quantum dynamics in a planar array of hardcore Bose-Hubbard chains with interchain interactions: a cluster mean-field analysis
[3] Hayato Aizawa
Tensor Renormalization Group Study of the Step-Scaling Function in the CP(1) Model with a $\theta$ Term
[4] Yanming SU
Generalized Kennedy-Tasaki transformations from sandwich duality
[5] Shoichi Ichinose
Energy-Eigenfunction Expansion using Machine Learning
[6] Hirone Ishida
TT-VEGAS Algorithm: A Monte Carlo Integration Method with Multivariate Correlation Adaptation Using Tensor Trains
[7] Ryo Minagawa
Probability Conservation in the Time Evolution of Classical Many-Body Systems
[8] Ashutosh Pati Tripathi
Variational Quantum Simulation of Interacting Fermionic Models with Locality-Preserving Qubit Encodings
[9] Archana Radhakrishnan
Towards the quantum simulation of QCD
[10] Katsumasa Nakayama
Tensor renormalization group method for higher dimensional system
[11] Sayan Mukherjee
When Does HOTRG Close? A Voltage-Graph-Lift Approach
[12] Takaaki Kuwahara
Tensor network representation of field theories based on machine-learning-assisted quadrature
17:45–18:00
Break
18:00–20:00
Banquet

Day 3 Wednesday, December 9th

9:30–10:30
Tatsuya Yokota
Chair: Kayo Kinjo
Majorization Minimization for Tensor Network based Logistic Regression
10:30–10:50
Hiroaki Matsueda
Chair: Kayo Kinjo
Entanglement Structure of Quantum States in Quantum Energy Teleportation
10:50–11:20
Break
11:20–12:00
Seishiro Ono
Chair: Takaaki Kuwahara
TBA
12:00–12:20
Kohei Fujikura
Chair: Takaaki Kuwahara
Uniform Matrix Product States for Cold and Dense \mathrm{QCD_2}
12:20–12:40
Etsuko Itou
Chair: Takaaki Kuwahara
Gauge-invariant PEPS for pure Z2 Gauge theory and its entanglement
12:40–12:45
Closing

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