A Matrix Product State Representation of Boolean Functions | Paper Citation Record

Observation 856b21ea-c7ee-4712-99f6-870fef75e1cb · outbound

This paper cites ˜M(n−1)(0) ˜M(n−1)(1) # 2p× ˜pn−1 , (28) which, together with Eqs. (26) and (27), allows us to write h Q(n−1)(xn−1) i p×pn−1 = [ S(xn−1)]p×2p.

A Matrix Product State Representation of Boolean Functions ˜M(n−1)(0) ˜M(n−1)(1) # 2p× ˜pn−1 , (28) which, together with Eqs. (26) and (27), allows us to write h Q(n−1)(xn−1) i p×pn−1 = [ S(xn−1)]p×2p

Reference 1

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Observation adf8a71a-e9df-44c3-a669-01b86ce97de4 · outbound

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A Matrix Product State Representation of Boolean Functions Unresolved cited work

Reference 2

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Observation dad17503-4e0d-4c18-b175-d732754dbdb1 · outbound

This paper cites The canonical form for h(f,g ) is then obtained by applying the CLEAN operation to the resulting BMP of Eq.

A Matrix Product State Representation of Boolean Functions The canonical form for h(f,g ) is then obtained by applying the CLEAN operation to the resulting BMP of Eq

Reference 3

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Observation d024e99c-1e73-4e68-b103-f7e187bfc523 · outbound

This paper cites Here we present an alternative and often more efficient method based on direct sum of the matrices in the BMP representations of f and g.

A Matrix Product State Representation of Boolean Functions Here we present an alternative and often more efficient method based on direct sum of the matrices in the BMP representations of f and g

Reference 4

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Observation 8ffddc7e-fd29-4067-b370-542f4e2f8c5c · outbound

This paper cites In this formulation, a state q is a subset of the input variables Xn ={x1,x 2,...,x n}, representing all BMPs whose first|q| variables are those in q, in any order.

A Matrix Product State Representation of Boolean Functions In this formulation, a state q is a subset of the input variables Xn ={x1,x 2,...,x n}, representing all BMPs whose first|q| variables are those in q, in any order

Reference 5

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Observation b7246ef7-a979-449e-9f47-e21a4439ed50 · outbound

This paper cites These methods are implemented on given BMPs via the SWAP operation, which changes the order of two adjacent variables in the matrix train.

A Matrix Product State Representation of Boolean Functions These methods are implemented on given BMPs via the SWAP operation, which changes the order of two adjacent variables in the matrix train

Reference 6

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This paper cites killer application.

A Matrix Product State Representation of Boolean Functions killer application

Reference 7

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This paper cites (91) Furthermore, we can perform various matrix operations using m without needing to construct M explicitly.

A Matrix Product State Representation of Boolean Functions (91) Furthermore, we can perform various matrix operations using m without needing to construct M explicitly

Reference 8

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Observation 14c2e9a9-ba6b-4d3b-851e-a607ee5c886e · outbound

This paper cites Allmann-Rahn, R.

A Matrix Product State Representation of Boolean Functions Allmann-Rahn, R

Reference 9

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Observation 7bf884cc-6619-4ab7-9e34-51efb21e0100 · outbound

This paper cites Quantum supremacy using a programmable superconducting processor.

A Matrix Product State Representation of Boolean Functions Quantum supremacy using a programmable superconducting processor

Reference 10

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Observation 2fe0552b-e836-4b4d-9e6e-7b83424bd3cd · outbound

This paper cites Bollig and I.

A Matrix Product State Representation of Boolean Functions Bollig and I

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.914079Z

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Observation 103cab2a-b1fd-4d11-8b0c-f00396aba0f5 · outbound

This paper cites Multigrid methods combined with low-rank approximation for tensor-structured Markov chains.

A Matrix Product State Representation of Boolean Functions Multigrid methods combined with low-rank approximation for tensor-structured Markov chains

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.898981Z

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Observation 5a9f1269-dee7-4dee-865f-5a5707290f4f · outbound

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A Matrix Product State Representation of Boolean Functions Unresolved cited work

Reference 13

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Observation 0bd87aee-0c52-4f98-b343-c8c6b2cc9cf7 · outbound

This paper cites Mucciolo, and Andrei E.

A Matrix Product State Representation of Boolean Functions Mucciolo, and Andrei E

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.868111Z

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A Matrix Product State Representation of Boolean Functions Unresolved cited work

Reference 15

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Observation f26f0273-d352-44f2-8a80-f69343ca0633 · outbound

This paper cites Practical quantum advantage in quantum simulation.

A Matrix Product State Representation of Boolean Functions Practical quantum advantage in quantum simulation

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.836424Z

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Observation a17891e7-43f1-4f6c-a921-832db7bfe6e1 · outbound

This paper cites Dolgov, B.N.

A Matrix Product State Representation of Boolean Functions Dolgov, B.N

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.821036Z

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Observation a00298b2-6da9-48d9-acc6-6a9ca37fe109 · outbound

This paper cites Ebendt, W.

A Matrix Product State Representation of Boolean Functions Ebendt, W

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.805749Z

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Observation fb015743-9d7e-463a-90e8-ae228f60079e · outbound

This paper cites A low-rank projector-splitting integrator for the Vlasov–Poisson equation.

A Matrix Product State Representation of Boolean Functions A low-rank projector-splitting integrator for the Vlasov–Poisson equation

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.790514Z

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Observation 8e9ed388-abba-4f5a-b543-a58c025c2297 · outbound

This paper cites an unresolved cited work.

A Matrix Product State Representation of Boolean Functions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:11:56.775250Z

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Observation f7578d74-2449-40d7-a1ff-3d4dab5558be · outbound

This paper cites Ritter, Matthieu Jeannin, Jheng-Wei Li, Thomas Kloss, Thibaud Louvet, Satoshi Terasaki, Olivier Parcollet, Jan von Delft, Hiroshi Shinaoka, and Xavier Waintal.

A Matrix Product State Representation of Boolean Functions Ritter, Matthieu Jeannin, Jheng-Wei Li, Thomas Kloss, Thibaud Louvet, Satoshi Terasaki, Olivier Parcollet, Jan von Delft, Hiroshi Shinaoka, and Xavier Waintal

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.760048Z

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Observation 7b8050c7-7a5c-459f-9c39-d237a967f887 · outbound

This paper cites Conservative logic.

A Matrix Product State Representation of Boolean Functions Conservative logic

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.745147Z

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Observation dc78bd21-1577-47d5-88c3-d2a95a1469e0 · outbound

This paper cites Hart, Nils J.

A Matrix Product State Representation of Boolean Functions Hart, Nils J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.730873Z

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Observation 9b2900b2-7f0d-412e-9aa1-b0a231411f03 · outbound

This paper cites Efficient Implementation of Quantum Circuit Simulation with Decision Diagrams.

A Matrix Product State Representation of Boolean Functions Efficient Implementation of Quantum Circuit Simulation with Decision Diagrams

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.716402Z

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Observation 8bc25053-01ef-4b5d-9bc6-953edd8b99a4 · outbound

This paper cites A Tensor Network based Decision Diagram for Representation of Quantum Circuits.

A Matrix Product State Representation of Boolean Functions A Tensor Network based Decision Diagram for Representation of Quantum Circuits

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-16T04:11:56.086392Z

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Observation 57a9891f-0ce5-4bb8-9471-4746a9aa3dab · outbound

This paper cites Tensor numerical methods for multidimensional PDES: theoretical analysis and initial applications.

A Matrix Product State Representation of Boolean Functions Tensor numerical methods for multidimensional PDES: theoretical analysis and initial applications

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.701944Z

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Observation b771fdea-c257-43d3-b407-102eb3ae85e8 · outbound

This paper cites Oseledets.

A Matrix Product State Representation of Boolean Functions Oseledets

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.686656Z

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Observation d719ea09-5722-4ce7-aab6-d18c8cc96bc4 · outbound

This paper cites Tensor network reduced order models for wall-bounded flows.

A Matrix Product State Representation of Boolean Functions Tensor network reduced order models for wall-bounded flows

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.672199Z

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Observation d0c4d332-e216-4b4e-b7c1-75fd5b8d9adb · outbound

This paper cites King, Alberto Nocera, Marek M.

A Matrix Product State Representation of Boolean Functions King, Alberto Nocera, Marek M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.657912Z

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Observation 80b8fdab-08c6-4722-a111-dbdb1701f449 · outbound

This paper cites Fun With Binary Decision Diagrams (BDDs).

A Matrix Product State Representation of Boolean Functions Fun With Binary Decision Diagrams (BDDs)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.643004Z

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Observation 6fc1e3ef-e9ba-489a-a90c-e41b54eb40ef · outbound

This paper cites A semi-lagrangian Vlasov solver in tensor train format.

A Matrix Product State Representation of Boolean Functions A semi-lagrangian Vlasov solver in tensor train format

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.627714Z

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Observation a7ea3c94-ea73-4ec4-a682-3385c922d17d · outbound

This paper cites Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired tensor train finite element method, 2023.

A Matrix Product State Representation of Boolean Functions Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired tensor train finite element method, 2023

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.611500Z

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Observation fd4db5e2-fa79-46b2-a37a-249739173867 · outbound

This paper cites Multigrid renormalization.

A Matrix Product State Representation of Boolean Functions Multigrid renormalization

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.596061Z

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Observation c130ff63-6caa-47b4-b1f5-a6744cda4936 · outbound

This paper cites Oseledets, and Bart Vandereycken.

A Matrix Product State Representation of Boolean Functions Oseledets, and Bart Vandereycken

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.580859Z

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Observation 17e389f5-bd2e-46ab-a643-522d46022588 · outbound

This paper cites Michael Miller and Mitchell A.

A Matrix Product State Representation of Boolean Functions Michael Miller and Mitchell A

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.563181Z

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Observation 87c7be82-3784-40a7-bdbc-92a05053f720 · outbound

This paper cites Michael Miller, Mitchell A.

A Matrix Product State Representation of Boolean Functions Michael Miller, Mitchell A

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.545754Z

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Observation 312d40bf-142a-423c-bfb0-b3b63bd85d2f · outbound

This paper cites Novikov, M.

A Matrix Product State Representation of Boolean Functions Novikov, M

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.530207Z

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Observation ca548561-aea9-4a62-a2b5-ecbbd01f9d6a · outbound

This paper cites Novikov, Maxim E.

A Matrix Product State Representation of Boolean Functions Novikov, Maxim E

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.513171Z

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Observation e206b9e9-927a-46a5-8929-1688bc7b575a · outbound

This paper cites Breadth-first manipulation of SBDD of boolean functions for vector processing.

A Matrix Product State Representation of Boolean Functions Breadth-first manipulation of SBDD of boolean functions for vector processing

Reference 39

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Observation 679b5367-73ee-445a-841c-9edf5b6a8991 · outbound

This paper cites Breadth-first manipulation of very large binary-decision diagrams.

A Matrix Product State Representation of Boolean Functions Breadth-first manipulation of very large binary-decision diagrams

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.481325Z

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Observation 764f429e-1bb1-4c4c-b51c-73aedfcc46a0 · outbound

This paper cites A practical introduction to tensor networks: Matrix product states and projected entangled pair states.

A Matrix Product State Representation of Boolean Functions A practical introduction to tensor networks: Matrix product states and projected entangled pair states

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-16T04:11:55.923380Z

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Observation affd9536-e7f7-4536-bfb6-6a9406561612 · outbound

This paper cites Tensor networks for complex quantum systems.Nat.

A Matrix Product State Representation of Boolean Functions Tensor networks for complex quantum systems.Nat

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.456441Z

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Observation 2c16281a-265a-44e0-9568-740f9c010c89 · outbound

This paper cites an unresolved cited work.

A Matrix Product State Representation of Boolean Functions Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-16T04:11:55.932676Z

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Observation 80528dec-765f-4e7a-bbc1-f3a85aa9cb52 · outbound

This paper cites Peddinti, Stefano Pisoni, Alessandro Marini, Philippe Lott, Henrique Argentieri, Egor Tiunov, and Leandro Aolita.

A Matrix Product State Representation of Boolean Functions Peddinti, Stefano Pisoni, Alessandro Marini, Philippe Lott, Henrique Argentieri, Egor Tiunov, and Leandro Aolita

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.431445Z

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Observation 750b499c-639e-4698-9458-08687ac32d6a · outbound

This paper cites Perez-Garcia, F.

A Matrix Product State Representation of Boolean Functions Perez-Garcia, F

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.415375Z

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Observation d807224b-2610-4f2e-b633-d73c7e8589ba · outbound

This paper cites Ritter, Yuriel N´ u˜ nez Fern´ andez, Markus Wallerberger, Jan von Delft, Hiroshi Shinaoka, and Xavier Waintal.

A Matrix Product State Representation of Boolean Functions Ritter, Yuriel N´ u˜ nez Fern´ andez, Markus Wallerberger, Jan von Delft, Hiroshi Shinaoka, and Xavier Waintal

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.397173Z

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Observation 69b42d10-aa25-4ba3-aa8f-ec9ac276385a · outbound

This paper cites an unresolved cited work.

A Matrix Product State Representation of Boolean Functions Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:11:56.380465Z

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Observation 74a63226-0071-4fc2-8068-8b124053f452 · outbound

This paper cites Tensor networks in machine learning, 2022.

A Matrix Product State Representation of Boolean Functions Tensor networks in machine learning, 2022

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.363984Z

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Observation 9dc4365e-303e-4e63-877b-bd287b19a61b · outbound

This paper cites CUDD: CU decision diagram package release 2.3.0.

A Matrix Product State Representation of Boolean Functions CUDD: CU decision diagram package release 2.3.0

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.348638Z

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Observation b8b613f5-34c9-4f84-a538-9cd1a1b5ea01 · outbound

This paper cites TTOpt: A maximum volume quantized tensor train-based optimization and its application to reinforcement learning.

A Matrix Product State Representation of Boolean Functions TTOpt: A maximum volume quantized tensor train-based optimization and its application to reinforcement learning

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.332630Z

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Observation acc6dcac-8eea-48cb-967e-f099175b9f7d · outbound

This paper cites Supervised learning with tensor networks.

A Matrix Product State Representation of Boolean Functions Supervised learning with tensor networks

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-16T04:11:55.971918Z

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Unavailable: canonical work link unavailable.

Observation e183e5a3-ef63-431e-ad37-18a284da9a37 · outbound

This paper cites Convolutional tensor-train LSTM for spatio-temporal learning.

A Matrix Product State Representation of Boolean Functions Convolutional tensor-train LSTM for spatio-temporal learning

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.305094Z

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Observation ec987f63-f98b-4a40-b5fa-abd502369241 · outbound

This paper cites Digital Circuits and Microprocessors.

A Matrix Product State Representation of Boolean Functions Digital Circuits and Microprocessors

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.289864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b424e4a5-190c-4390-be43-ab7c614b0c58 · outbound

This paper cites Tensor train approximation of multivariate functions.

A Matrix Product State Representation of Boolean Functions Tensor train approximation of multivariate functions

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.274849Z

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Observation 833697ca-f2bb-4d07-b496-05218fa1e3ce · outbound

This paper cites an unresolved cited work.

A Matrix Product State Representation of Boolean Functions Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:11:56.259061Z

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Observation f6a9e3b7-9a23-459b-8074-e36336a10f6f · outbound

This paper cites Tensor-train numerical integration of multivariate functions with singularities.

A Matrix Product State Representation of Boolean Functions Tensor-train numerical integration of multivariate functions with singularities

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.242718Z

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Observation b7be9480-f6b1-4c20-8252-7216bdff9e2e · outbound

This paper cites Vincent Poor, and Michel Verhaegen.

A Matrix Product State Representation of Boolean Functions Vincent Poor, and Michel Verhaegen

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.225670Z

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Observation 916be619-c356-448f-854e-e9593b433fce · outbound

This paper cites Quantized tensor networks for solving the Vlasov-Maxwell equations, 2024.

A Matrix Product State Representation of Boolean Functions Quantized tensor networks for solving the Vlasov-Maxwell equations, 2024

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.209837Z

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Observation ed5fc95d-e546-4579-a89a-bf608254e6bc · outbound

This paper cites Quantum Circuit Simulation with Fast Tensor Decision Diagram.

A Matrix Product State Representation of Boolean Functions Quantum Circuit Simulation with Fast Tensor Decision Diagram

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-08-16T04:11:56.062296Z

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Observation 45c2912c-49d3-4e40-9e9d-9a06eba38b13 · outbound

This paper cites Quantum computational advantage via 60-qubit 24-cycle random circuit sampling.

A Matrix Product State Representation of Boolean Functions Quantum computational advantage via 60-qubit 24-cycle random circuit sampling

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:11:56.194237Z

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