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.
Eisert , author M
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UNVERDICTED 15representative citing papers
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.
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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.