An analytical Hessian-vector product kernel for arbitrary linear map compositions in tensor networks is derived via recursive tangent-state propagation, enabling scalable Riemannian trust-region optimization with major fidelity gains on spin-chain circuits.
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Quantum simulation on trapped ions shows that a plaquette term in a 2+1D U(1) gauge theory enables string propagation in the plane and extended matter creation, realizing genuine two-dimensional dynamics.
The site basis excitation ansatz computes accurate one-magnon dispersions for the S=1 Heisenberg chain by constructing a small non-orthogonal basis from a single-site-like diagonalization and solving small matrices for each momentum.
Introduces MPO encodings of the Magnus expansion and Dyson series for arbitrary-order accurate time evolution in 1D quantum lattices with time-dependent Hamiltonians, applicable to finite/infinite systems and long-range interactions.
Correlations in the nickelate drive the gamma band below the Fermi level and shift the dominant superconducting pairing to d_x2-y2 interlayer spin-singlet mediated by antiferromagnetism and Hund's coupling.
Continuous driving in chiral quantum networks allows transient concurrence to exceed the undriven 2/e benchmark because nonsecular terms mix dressed-state coherences under strong driving.
citing papers explorer
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Hessian-vector products for tensor networks via recursive tangent-state propagation
An analytical Hessian-vector product kernel for arbitrary linear map compositions in tensor networks is derived via recursive tangent-state propagation, enabling scalable Riemannian trust-region optimization with major fidelity gains on spin-chain circuits.
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Observation of genuine $2+1$D string dynamics in a U$(1)$ lattice gauge theory with a tunable plaquette term on a trapped-ion quantum computer
Quantum simulation on trapped ions shows that a plaquette term in a 2+1D U(1) gauge theory enables string propagation in the plane and extended matter creation, realizing genuine two-dimensional dynamics.
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Site Basis Excitation Ansatz for Matrix Product States
The site basis excitation ansatz computes accurate one-magnon dispersions for the S=1 Heisenberg chain by constructing a small non-orthogonal basis from a single-site-like diagonalization and solving small matrices for each momentum.
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Matrix Product Operator Encodings of the Magnus Expansion and Dyson Series
Introduces MPO encodings of the Magnus expansion and Dyson series for arbitrary-order accurate time evolution in 1D quantum lattices with time-dependent Hamiltonians, applicable to finite/infinite systems and long-range interactions.
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Correlation-Driven Orbital-Selective Fermiology and Superconductivity in the Bilayer Nickelate La$_3$Ni$_2$O$_7$
Correlations in the nickelate drive the gamma band below the Fermi level and shift the dominant superconducting pairing to d_x2-y2 interlayer spin-singlet mediated by antiferromagnetism and Hund's coupling.
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Transient entanglement generation in driven chiral networks beyond the secular approximation
Continuous driving in chiral quantum networks allows transient concurrence to exceed the undriven 2/e benchmark because nonsecular terms mix dressed-state coherences under strong driving.