Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
Tensor networks for complex quantum systems
R Orús - Nature Reviews Physics, 2019 - nature.com
Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …
renormalization group ideas, tensor networks have been revived thanks to quantum …
Efficient tensor network simulation of ibm's eagle kicked ising experiment
We report an accurate and efficient classical simulation of a kicked Ising quantum system on
the heavy hexagon lattice. A simulation of this system was recently performed on a 127-qubit …
the heavy hexagon lattice. A simulation of this system was recently performed on a 127-qubit …
Bilayer Model and Magnetically Mediated Pairing in the Pressurized Nickelate
The recently discovered nickelate superconductor La 3 Ni 2 O 7 has a high transition
temperature near 80 K under pressure, providing an additional avenue for exploring …
temperature near 80 K under pressure, providing an additional avenue for exploring …
Fast and converged classical simulations of evidence for the utility of quantum computing before fault tolerance
A recent quantum simulation of observables of the kicked Ising model on 127 qubits
implemented circuits that exceed the capabilities of exact classical simulation. We show that …
implemented circuits that exceed the capabilities of exact classical simulation. We show that …
Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
The accurate computation of Hamiltonian ground, excited and thermal states on quantum
computers stands to impact many problems in the physical and computer sciences, from …
computers stands to impact many problems in the physical and computer sciences, from …
Tensor network algorithms: A route map
MC Bañuls - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
Tensor networks provide extremely powerful tools for the study of complex classical and
quantum many-body problems. Over the past two decades, the increment in the number of …
quantum many-body problems. Over the past two decades, the increment in the number of …
Quantum spin liquid states
This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …
Orbital-selective superconductivity in the pressurized bilayer nickelate : An infinite projected entangled-pair state study
The newly discovered high-T c nickelate superconductor La 3 Ni 2 O 7 has generated
significant research interest. To uncover the pairing mechanism, it is essential to investigate …
significant research interest. To uncover the pairing mechanism, it is essential to investigate …
Near-term quantum computing techniques: Variational quantum algorithms, error mitigation, circuit compilation, benchmarking and classical simulation
Quantum computing is a game-changing technology for global academia, research centers
and industries including computational science, mathematics, finance, pharmaceutical …
and industries including computational science, mathematics, finance, pharmaceutical …