Pi-QEM selects dominant low-weight Pauli strings for ML training in quantum error mitigation, reducing ground-state energy estimation error by up to 34.01% using a single observable in molecular simulations on noisy IBM backends.
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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.
Forward–reverse evolution, Richardson extrapolation, and runtime randomization cancel the leading O(T^{-1}) adiabatic phase error in Berry phase estimation, yielding O(ε^{-3/2}) total cost (QPE) or Θ(ε^{-1/3}) coherent runtime (Hadamard test).
Adaptive VQE exhibits exponential growth in iterations and circuit depth with system size, accurately predicted by classical Rényi entropy on molecules with 4-10 orbitals.
Robust optimal control algorithm using adaptive linearization of the evolution operator, sequential quadratic programming, and Legendre polynomials designs high-fidelity Bragg pulses achieving |±40 ħk⟩ transfers under 10-40% parameter variations.
Compares shadow-based CNNs and physics-informed QCNNs for predicting low-energy subspace overlaps in quenched 10-qubit Heisenberg chains, reporting regime-dependent R^2 performance with QCNNs more stable overall.
Theory using dynamical high-temperature expansion and optical-lattice hard-core boson experiments show excellent agreement on spin diffusion constants in the finite-temperature square-lattice XY model.
Brillouin-Wigner perturbation theory plus Hartree-Fock mean-field approximation upgrades quasiparticle nuclear Hamiltonians, yielding <0.2% and ~2% ground-state energy errors versus exact shell-model results in the sd shell while preserving qubit efficiency.
Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.
AL-QHD benchmarks on nonconvex test functions and ACOPF power problems show useful accuracy at fixed qubit cost but require roughly 10^8 T gates for realistic instances.
citing papers explorer
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Pauli Weight Hamiltonian Term Selection for Optimized Machine Learning Based Quantum Error Mitigation
Pi-QEM selects dominant low-weight Pauli strings for ML training in quantum error mitigation, reducing ground-state energy estimation error by up to 34.01% using a single observable in molecular simulations on noisy IBM backends.
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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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Adiabatic Error Cancellation in Berry Phase Estimation
Forward–reverse evolution, Richardson extrapolation, and runtime randomization cancel the leading O(T^{-1}) adiabatic phase error in Berry phase estimation, yielding O(ε^{-3/2}) total cost (QPE) or Θ(ε^{-1/3}) coherent runtime (Hadamard test).
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Exponential Scaling Barriers for Variational Quantum Eigensolvers
Adaptive VQE exhibits exponential growth in iterations and circuit depth with system size, accurately predicted by classical Rényi entropy on molecules with 4-10 orbitals.
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Robust Quantum Control for Bragg Pulse Design in Atom Interferometry
Robust optimal control algorithm using adaptive linearization of the evolution operator, sequential quadratic programming, and Legendre polynomials designs high-fidelity Bragg pulses achieving |±40 ħk⟩ transfers under 10-40% parameter variations.
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Learning Low-Energy Subspace Overlaps in Many-Body Systems with Measurement-Based and Coherent Quantum Strategies
Compares shadow-based CNNs and physics-informed QCNNs for predicting low-energy subspace overlaps in quenched 10-qubit Heisenberg chains, reporting regime-dependent R^2 performance with QCNNs more stable overall.
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Finite-temperature spin diffusion in the two-dimensional XY model
Theory using dynamical high-temperature expansion and optical-lattice hard-core boson experiments show excellent agreement on spin diffusion constants in the finite-temperature square-lattice XY model.
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Improved quasiparticle nuclear Hamiltonians for quantum computing
Brillouin-Wigner perturbation theory plus Hartree-Fock mean-field approximation upgrades quasiparticle nuclear Hamiltonians, yielding <0.2% and ~2% ground-state energy errors versus exact shell-model results in the sd shell while preserving qubit efficiency.
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Algebraic structure of Fock-state lattices
Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.
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Benchmarking and Resource Analysis for Augmented-Lagrangian Quantum Hamiltonian Descent
AL-QHD benchmarks on nonconvex test functions and ACOPF power problems show useful accuracy at fixed qubit cost but require roughly 10^8 T gates for realistic instances.