Lie group diffusion models combine a discrete circuit skeleton selector with continuous diffusion on SU(2) ≃ S³ to synthesize hardware-aware quantum circuits, outperforming baselines on three-qubit Hamiltonian simulation targets.
Simulating quantum field theory with a quantum computer
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Forthcoming exascale digital computers will further advance our knowledge of quantum chromodynamics, but formidable challenges will remain. In particular, Euclidean Monte Carlo methods are not well suited for studying real-time evolution in hadronic collisions, or the properties of hadronic matter at nonzero temperature and chemical potential. Digital computers may never be able to achieve accurate simulations of such phenomena in QCD and other strongly-coupled field theories; quantum computers will do so eventually, though I'm not sure when. Progress toward quantum simulation of quantum field theory will require the collaborative efforts of quantumists and field theorists, and though the physics payoff may still be far away, it's worthwhile to get started now. Today's research can hasten the arrival of a new era in which quantum simulation fuels rapid progress in fundamental physics.
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Maximizing entanglement in the top-quark helicity space of Composite Higgs models selects symmetry structures that enforce a finite Higgs potential and relate left- and right-handed top sectors.
For diagonal quadratic evolutions, qubit encodings are asymptotically cheaper than qudit encodings in both Trotter and LCU settings, but small-dimension qudits can win under favorable synthesis or code-switching assumptions.
Tensor network calculation of magic and entanglement in SU(2) lattice gauge theory ground state shows a crossover from magic-rich to less-magic regime at g_star.
All separable Hilbert spaces of a given dimension are isomorphic, so there are only six basic coordinate operator types; their conjugate momenta form seven basic pairs via direct self-adjointness, self-adjoint extensions, or Neumark extensions.
citing papers explorer
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Lie Group Diffusion Models for Hardware-Aware Quantum Circuit Synthesis
Lie group diffusion models combine a discrete circuit skeleton selector with continuous diffusion on SU(2) ≃ S³ to synthesize hardware-aware quantum circuits, outperforming baselines on three-qubit Hamiltonian simulation targets.
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Entanglement Maximization and Symmetry Selection in Composite Higgs Models
Maximizing entanglement in the top-quark helicity space of Composite Higgs models selects symmetry structures that enforce a finite Higgs potential and relate left- and right-handed top sectors.
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Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators
For diagonal quadratic evolutions, qubit encodings are asymptotically cheaper than qudit encodings in both Trotter and LCU settings, but small-dimension qudits can win under favorable synthesis or code-switching assumptions.
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Magic and entanglement in 1+1-dimensional SU(2) lattice gauge theory
Tensor network calculation of magic and entanglement in SU(2) lattice gauge theory ground state shows a crossover from magic-rich to less-magic regime at g_star.
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All Hilbert spaces are the same: consequences for generalized coordinates and momenta
All separable Hilbert spaces of a given dimension are isomorphic, so there are only six basic coordinate operator types; their conjugate momenta form seven basic pairs via direct self-adjointness, self-adjoint extensions, or Neumark extensions.