![]() State Space of N Transistors Ground States of Gapped 1D Local Hamiltonians MPS Ansatzġ1 MPS Ansatz Sparse data structure for many-body quantum states. Hilbert Space of N qubits Ground States of Gapped 1D Local Hamiltonians Exponential State Space of N Transistorsġ0 But… Exponential Polynomial Hilbert Space of N qubits MPS Ansatz The target expectation values aren’t even defined!Īs limit of sequence of lattice states. "Exploring New Physics Frontiers Through Numerical Relativity" Vitor Cardoso and Leonardo Gualtieri and Carlos Herdeiro and Ulrich SperhakeĤ Numerical QFTCS? "Exploring New Physics Frontiers Through Numerical Relativity" Vitor Cardoso and Leonardo Gualtieri and Carlos Herdeiro and Ulrich Sperhake We can project other equations onto the hypersurfaces just as well. symmetry becomes a literal gauge symmetry. EFEs -> PDE system evolving hypersurface-local quantities. Universe /universeģ Numerical Relativity Foliate spacetime to get initial value problem. Black Holes: Eliminating Information or Illuminating New Physics?. Inflation? Black hole evaporation? Black hole formation? With interactions? Chakraborty, Sumanta & Lochan, Kinjalk. (SXS Collab) -Another situation where quantitative information might be useful: semiclassical gravity. ![]() Numerical integration of the Einstein equations is now a pretty mature field – LIGO, etc. 1 Tensor Network Simulations of QFT in Curved SpacetimeĪdam GM Lewis, Qi Hu, Guifre Vidal Perimeter institute for theoretical physics, Waterloo, On, CAĢ Motivation: Simulate Semiclassical Gravity
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