In a two-parameter family of quadratic bosonic Hamiltonians from a modified bosonic SSH model, topological phase transitions occur along lines of Krein collisions and topological classification holds in both stable and unstable regimes via symplectic Berry phase and index theory.
Eisert , author M
16 Pith papers cite this work, alongside 2,884 external citations. Polarity classification is still indexing.
16
Pith papers citing it
2,884
external citations · OpenAlex
citation-role summary
background 1
method 1
citation-polarity summary
verdicts
UNVERDICTED 16representative citing papers
MPS energy landscapes lack poor local minima because gauge freedom induces overparametrization that concentrates local minima near the global minimum, with the local minimum distribution proven invariant under orthogonality center moves.
Computational constraints exponentially suppress accessible entanglement for some highly entangled quantum states and can make mixed-state min-entropy appear maximal when the information-theoretic version is negative.
Relativistic continuous matrix product states yield competitive variational approximations to ground state energies and observables in the phi^4, Sine-Gordon, and Sinh-Gordon models, including strongly coupled regimes.
Tensor network model achieves 77.98% accuracy in modeling order-dependent emotional memory in children.
Pure-state BNMR is an intrinsic function of the nonzero Schmidt spectrum via dimension reduction, yielding quadratic perturbation response, Haar-random profiles localized at symmetric cuts, and closed forms for rank-2 states.
Tensor network scans reveal that the stationary spin entanglement entropy ridge follows population phase boundaries at small s but lacks the two-branch structure at large s in the sub-Ohmic spin-boson model.
A quantum-action-based quantization resolves inconsistencies in second-quantizing quantum time schemes by introducing spacetime classical mechanics and a no-go theorem, yielding manifestly covariant interacting QFT via a spacetime generalization of quantum states.
The minimal number of dynamical degrees of freedom in regularised scalar field theory scales with area, governed by the count of distinct normal-mode frequencies below the ultraviolet cutoff.
Reports experimental generation of remote Bell entanglement between two giant atoms with fidelity 0.89 using driven-dissipative stabilization and in-situ frequency tuning.
Exact vs. restricted particle-hole dynamics in graphene flakes after optical quench shows periodic structures captured by low-order excitations but confined ones require higher-order contributions, positioning the setup as a quantum-computing benchmark.
PEPSKit.jl is a Julia package that supplies high-level algorithms for ground-state, time-evolution and finite-temperature iPEPS simulations with symmetry support on various lattices.
A graph-based method is proposed to study entanglement entropy in CSS quantum codes, with illustrations on toric codes and quantum LDPC codes showing scaling behavior.
Perspective reviewing TTNS-DMRG methods for computing thousands of vibrational eigenstates in molecules up to 33 dimensions, with emphasis on connections to ML-MCTDH and practical challenges.
The paper provides an expository review of squeezed states of light and related phenomena using the Wigner phase-space formalism and groups such as Lorentz and symplectic.
Introductory lecture notes on tensor networks with emphasis on matrix-product states, their algorithms, higher-dimensional generalizations, and applications to mixed states and open quantum systems, accompanied by Julia code.
citing papers explorer
-
Decoupling band topology from criticality in bosonic systems
In a two-parameter family of quadratic bosonic Hamiltonians from a modified bosonic SSH model, topological phase transitions occur along lines of Krein collisions and topological classification holds in both stable and unstable regimes via symplectic Berry phase and index theory.
-
Absence of poor local minima in matrix product states
MPS energy landscapes lack poor local minima because gauge freedom induces overparametrization that concentrates local minima near the global minimum, with the local minimum distribution proven invariant under orthogonality center moves.
-
Accessible Quantum Correlations Under Complexity Constraints
Computational constraints exponentially suppress accessible entanglement for some highly entangled quantum states and can make mixed-state min-entropy appear maximal when the information-theoretic version is negative.
-
Some progress on the use of the variational method in quantum field theory
Relativistic continuous matrix product states yield competitive variational approximations to ground state energies and observables in the phi^4, Sine-Gordon, and Sinh-Gordon models, including strongly coupled regimes.
-
Modelling Emotional Memory in Children with Tensor Networks
Tensor network model achieves 77.98% accuracy in modeling order-dependent emotional memory in children.
-
Intrinsic spectral structure of bipartite nonlocal magic resource
Pure-state BNMR is an intrinsic function of the nonzero Schmidt spectrum via dimension reduction, yielding quadratic perturbation response, Haar-random profiles localized at symmetric cuts, and closed forms for rank-2 states.
-
Entanglement structure of the dynamical phases in the sub-Ohmic spin-boson model
Tensor network scans reveal that the stationary spin entanglement entropy ridge follows population phase boundaries at small s but lacks the two-branch structure at large s in the sub-Ohmic spin-boson model.
-
From quantum time to manifestly covariant QFT: On the need for a quantum-action-based quantization
A quantum-action-based quantization resolves inconsistencies in second-quantizing quantum time schemes by introducing spacetime classical mechanics and a no-go theorem, yielding manifestly covariant interacting QFT via a spacetime generalization of quantum states.
-
Area Scaling of Dynamical Degrees of Freedom in Regularised Scalar Field Theory
The minimal number of dynamical degrees of freedom in regularised scalar field theory scales with area, governed by the count of distinct normal-mode frequencies below the ultraviolet cutoff.
-
Driven-dissipative entanglement of distant giant atoms
Reports experimental generation of remote Bell entanglement between two giant atoms with fidelity 0.89 using driven-dissipative stabilization and in-situ frequency tuning.
-
Interaction-driven dynamics in graphene flakes as a benchmark for quantum simulation
Exact vs. restricted particle-hole dynamics in graphene flakes after optical quench shows periodic structures captured by low-order excitations but confined ones require higher-order contributions, positioning the setup as a quantum-computing benchmark.
-
PEPSKit.jl: A Julia package for projected entangled-pair state simulations
PEPSKit.jl is a Julia package that supplies high-level algorithms for ground-state, time-evolution and finite-temperature iPEPS simulations with symmetry support on various lattices.
-
A graph-based approach to entanglement entropy of quantum error correcting codes
A graph-based method is proposed to study entanglement entropy in CSS quantum codes, with illustrations on toric codes and quantum LDPC codes showing scaling behavior.
-
Accurate, full-dimensional computations of thousands of complex vibrational eigenstates with tree tensor network states
Perspective reviewing TTNS-DMRG methods for computing thousands of vibrational eigenstates in molecules up to 33 dimensions, with emphasis on connections to ML-MCTDH and practical challenges.
-
Understanding Squeezed States of Light Through Wigner's Phase-Space
The paper provides an expository review of squeezed states of light and related phenomena using the Wigner phase-space formalism and groups such as Lorentz and symplectic.
-
Introduction to matrix-product states and tensor networks
Introductory lecture notes on tensor networks with emphasis on matrix-product states, their algorithms, higher-dimensional generalizations, and applications to mixed states and open quantum systems, accompanied by Julia code.