A bootstrap method using density-matrix positivity and steady-state conditions produces bounds on steady-state expectation values, the critical coupling, and the Liouvillian gap for the quantum contact process.
Lanzetta, Patrick Ledwith, Jie Wang, and Eslam Khalaf
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GMP density-mode dispersion on the Haldane sphere accurately describes primary Jain states at long wavelength after deriving the sphere version of the LLL density-operator algebra.
Correlated purification via bi-objective semidefinite programming restores N-representability to noisy 2-RDMs from fermionic shadow tomography and achieves chemical accuracy on hydrogen chain dissociation curves.
The reduced density matrix bootstrap yields rigorous lower bounds on superfluid stiffness for quantum geometric nesting models, relating stiffness to pair mass and showing enhancement from added magnetic interactions.
A bi-objective SDP framework for constrained shadow tomography reconstructs N-representable 2-RDMs from noisy shadow data by balancing measurement fidelity with energy minimization for molecular quantum simulations.
The authors derive an effective Hamiltonian for magnetoroton modes in moiré FQH and FCI systems via single-mode approximation and Monte Carlo three-point density correlations, predicting THz absorption trends and a soft-mode transition to CDW states.
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Bootstrapping Open Quantum Many-body Systems with Absorbing Phase Transitions
A bootstrap method using density-matrix positivity and steady-state conditions produces bounds on steady-state expectation values, the critical coupling, and the Liouvillian gap for the quantum contact process.
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Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
GMP density-mode dispersion on the Haldane sphere accurately describes primary Jain states at long wavelength after deriving the sphere version of the LLL density-operator algebra.
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Correlated Purification for Restoring $N$-Representability in Quantum Simulation
Correlated purification via bi-objective semidefinite programming restores N-representability to noisy 2-RDMs from fermionic shadow tomography and achieves chemical accuracy on hydrogen chain dissociation curves.
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Bootstrapping Flat-band Superconductors: Rigorous Lower Bounds on Superfluid Stiffness
The reduced density matrix bootstrap yields rigorous lower bounds on superfluid stiffness for quantum geometric nesting models, relating stiffness to pair mass and showing enhancement from added magnetic interactions.
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Constrained Shadow Tomography for Molecular Simulation on Quantum Devices
A bi-objective SDP framework for constrained shadow tomography reconstructs N-representable 2-RDMs from noisy shadow data by balancing measurement fidelity with energy minimization for molecular quantum simulations.
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Theory of magnetoroton bands in moir\'e materials
The authors derive an effective Hamiltonian for magnetoroton modes in moiré FQH and FCI systems via single-mode approximation and Monte Carlo three-point density correlations, predicting THz absorption trends and a soft-mode transition to CDW states.