Tensor Networks and Simulations 2014
2014-04-21..2014-04-24
Berkeley, United States
[Quantum Complexity: Quantum PCP, Area Laws, and Quantum Gravity 2024, Quantum Wave in Computing Reunion 2021, Tensors in Computer Science and Geometry 2014, Summer Cluster on Quantum Computing 2025, Summer Cluster Final Workshop 2026, Near-Term Quantum Computers: Fault Tolerance + Benchmarking + Quantum Advantage + Quantum Algorithms]
| title | author | length |
|---|---|---|
| Invariants for Gapped Ground State Phases | Bruno Nachtergaele | 01h 06m |
States with a uniform spectral gap map to each other by a quasi-local quasi-adiabatic continuation (spectral flow) that commutes with on-site symmetry, so the… | ||
| Wavelets, MERA, and Holography | Steve White | 57m |
Claims that wavelet bases map exactly onto a MERA-like tensor network built from repeated 2x2 unitary gates and that choosing gate angles gives known wavelets… | ||
| Bifurcation in Entanglement Renormalization Group Flow of a Gapped Spin Model | Jeongwan Haah | 45m |
A constant-depth quantum circuit (depth-32 circuit) maps the cubic-code ground state to a tensor product of two stabilizer ground states: one is the original… | ||
| Tensor Network States for Chiral Topological Phases | Nicholas Read | 01h 05m |
Claims that strictly short-range tensor-network constructions for free-fermion chiral/topological bands produce parent Hamiltonians that must be gapless when… | ||
| Topological Order in Projected Entangled Pair States | Norbert Schuch | 01h 00m |
Local tensors with a finite-group G-injective PEPS structure generate both a parent Hamiltonian and its ground states; a hidden virtual symmetry strings on the… | ||
| Tensor Networks and Conformal Field Theory | German Sierra | 01h 07m |
Constructs lattice spin wavefunctions as correlators of CFT vertex operators (chiral boson with charge α) and uses null‑vector decoupling to derive parent… | ||
| Einstein's Equations Starting from Qubits | Brian Swingle | 01h 03m |
Claim: starting from a lattice of qubits described by a critical, large‑N local Hamiltonian and represented by a MERA tensor network, one recovers a smooth… | ||
| 2D and 3D Topological Orders: Universal Wave Function Overlap and String Statistics | Xiao-Gang Wen | 01h 05m |
The method computes universal wave function overlap directly from ground-state overlaps to extract the S and T matrices as volume-independent constants… | ||
| Exact Holographic Mapping and Emergent Space-time Geometry | Xiao-Liang Qi | 01h 09m |
Proposes a constructive, unitary tensor-network mapping from a D‑dimensional many‑body state to a higher‑dimensional “bulk” and defines bulk distances from… | ||
| 'Gauging' Time Reversal Symmetry in Tensor Network States | Xie Chen | 01h 03m |
Proposes a concrete procedure to “gauge” time reversal in tensor network states by defining a local complex conjugation on tensors and implementing symmetry… | ||
| Efficient Classical Simulation of Many-body Systems with Local Integrals of Motion | Guifre Vidal | 01h 07m |
Claim: a complete set of strictly local integrals of motion lets one build a spectral matrix product operator that encodes every eigenstate as choices of extra… | ||
| RG Fixed Points in PEPS | David Pérez-García | 01h 04m |
David Pérez-García, Universidad Complutense de Madrid
Tensor Networks and Simulations
http://simons.berkeley.edu/talks/david-perez-garcia-2014-04-23 | ||
| MPO-injectivity and Topologically Ordered PEPS | Jutho Haegeman | 01h 02m |
This talk explains how matrix product operator (MPO) injectivity is used to characterize topologically ordered projected entangled pair states (PEPS). It… | ||
| Walking Graph States: General Ansatz for Non-equilibrium Density Operators of Quantum Chains | Tomaz Prosen | 01h 04m |
Exact, constructive steady states for boundary‑driven 1D quantum chains: density matrix factors as rho = S S† with an explicit MPO S built from… | ||
| A Polynomial-time Algorithm for Finding Ground States of Gapped Local Hamiltonians in 1D | Thomas Vidick | 01h 01m |
Proves a concrete algorithm that outputs a matrix product state approximating the unique gapped 1D ground state to overlap ≥1−δ in time polynomial in n and 1/δ… | ||
| Tensor Networks and Quantum Algorithms | Zeph Landau | 01h 01m |
Claims that quantum computation ≡ approximating tensor networks, with a constructive reduction: pick a bubbling (an ordering), normalize each tensor by its… | ||
| Area Laws and Topological Order in a Many-body Localized State | Bela Bauer | 01h 06m |
Proposes MBL as eigenstates related to Anderson Slater determinants by a finite-depth local unitary, implying an area law for excited eigenstates and emergent… | ||
| Doped Bosonic and Fermionic Resonating Valence Bond States | Didier Poilblanc | 01h 07m |
Constructs a fermionic RVB wavefunction by rewriting the equal‑weight dimer PEPS in a fermion basis and adding two local projector terms (P1, P2) with… | ||
| The Algebraic Bethe Ansatz and Tensor Networks | Vladimir Korepin | 01h 02m |
Constructs exact eigenstates of the XXZ/XXX spin chain by writing the Bethe wavefunction as a product of commuting B-operators rather than an N! coordinate… | ||
| Symmetry and Topological Order in Quantum States | Frank Pollmann | 01h 00m |
Shows a practical recipe: use matrix product states in canonical form, build a generalized transfer matrix by inserting the on-site symmetry, and take its… | ||
| nothing matches | ||