A new quantum circuit method computes spectral functions A(k,ω) by simulating ARPES-like system-environment coupling, cutting sampling overhead by O(N) and demonstrated on a 54-qubit ion-trap processor for a 27-site chain.
Quantum subspace expan- sion algorithm for Green’s functions
8 Pith papers cite this work, alongside 9 external citations. Polarity classification is still indexing.
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QFTLM computes thermal expectation values on quantum computers by merging quantum Krylov methods with efficient typical-state preparation for trace estimation.
A hybrid quantum-classical method computes accurate Green's functions for the pairing model across the normal-to-superfluid transition by combining variational ground-state preparation with quantum subspace expansion for neighboring particle numbers.
A hybrid scheme combines channel-agnostic finite-temperature QPE with QAVG reconstruction to obtain the one-particle Green's function for DMFT, shown via numerical simulation on SrVO3.
SQD needs an exponentially increasing number of computational-basis configurations to approximate ground-state energies of Heisenberg and Hubbard models within fixed accuracy, even when configurations are chosen optimally by probability.
Framework maps retarded Green's function evaluation to differentiation of real-time evolution quantum circuits using circuit perturbations.
Symmetry and frustration in power-of-p and Fibonacci graphs drive distinct ground-state phase behaviors in sparse long-range quantum models, unified by an effective-geometry principle.
Ground-state energies of homogeneous and random-coupling Ising models are obtained via CVQE with GSA on quantum hardware up to 63 qubits, with error-boundary, entropic, and subspace analyses indicating suitability for near-term devices.
citing papers explorer
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Spectral functions on a quantum computer through system-environment interaction
A new quantum circuit method computes spectral functions A(k,ω) by simulating ARPES-like system-environment coupling, cutting sampling overhead by O(N) and demonstrated on a 54-qubit ion-trap processor for a 27-site chain.
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Quantum Finite Temperature Lanczos Method
QFTLM computes thermal expectation values on quantum computers by merging quantum Krylov methods with efficient typical-state preparation for trace estimation.
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Quantum simulations of Green's functions for small superfluid systems
A hybrid quantum-classical method computes accurate Green's functions for the pairing model across the normal-to-superfluid transition by combining variational ground-state preparation with quantum subspace expansion for neighboring particle numbers.
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Channel-agnostic finite-temperature phase estimation averaged over variable grids: reconstruction of Green's function for dynamical mean-field theory
A hybrid scheme combines channel-agnostic finite-temperature QPE with QAVG reconstruction to obtain the one-particle Green's function for DMFT, shown via numerical simulation on SrVO3.
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A Critical Assessment of the Sample-Based Quantum Diagonalization for Heisenberg and Hubbard Models
SQD needs an exponentially increasing number of computational-basis configurations to approximate ground-state energies of Heisenberg and Hubbard models within fixed accuracy, even when configurations are chosen optimally by probability.
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A circuit-differentiation framework for Green's functions on quantum computers
Framework maps retarded Green's function evaluation to differentiation of real-time evolution quantum circuits using circuit perturbations.
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Interaction geometry and ground-state properties of sparse quantum lattice models
Symmetry and frustration in power-of-p and Fibonacci graphs drive distinct ground-state phase behaviors in sparse long-range quantum models, unified by an effective-geometry principle.
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Ground-state energies of Ising models calculated using the samples from a quantum computer that simulates short-time evolution
Ground-state energies of homogeneous and random-coupling Ising models are obtained via CVQE with GSA on quantum hardware up to 63 qubits, with error-boundary, entropic, and subspace analyses indicating suitability for near-term devices.