Quantum time-marching algorithms adapt LCU for diffusive dynamics and use method of images or direct unitary encoding for boundaries, achieving optimal success probabilities and linear complexity, shown via heat equation simulations.
Preskill, Quantum 2, 79 (2018)
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A switch-restore-switch protocol using environmental spectral structure resets superconducting qubits in 20 ns at 10^{-5} precision.
A unified quantum framework computes n-th order nonlinear spectroscopies on near-term devices by reformulating multi-time responses as weighted sums of finite-amplitude expectation values via a generalized parameter shift rule.
Different unravelings of open quantum systems cannot be distinguished by any protocol without prior knowledge of the measurement scheme, since access to unraveling-dependent nonlinear statistics would violate relativistic causality.
Proposes variable-topology quantum circuits with evolutionary optimization and a pseudo-counterdiabatic term that outperforms VQE on set partitioning by avoiding stagnation without classical optimizers.
Monitored random quantum circuits lack divergent multipartite entanglement at criticality unlike standard critical systems, but two-site measurements with a protection mechanism enable genuinely multipartite entangled phases.
Depolarizing noise doubles the number of non-analytic points in the Loschmidt echo at dynamical phase transition times in the transverse-field Ising model, inducing an inherent error that zero-noise extrapolation cannot mitigate.
QPDE applied to 2- and 3-spin Heisenberg models on IBM processors yields 85-93% accuracy versus classical values after noise mitigation.
citing papers explorer
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Quantum time-marching algorithms for solving linear transport problems including boundary conditions
Quantum time-marching algorithms adapt LCU for diffusive dynamics and use method of images or direct unitary encoding for boundaries, achieving optimal success probabilities and linear complexity, shown via heat equation simulations.
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Time-optimal Qubit Reset via Environmental Spectral Structure
A switch-restore-switch protocol using environmental spectral structure resets superconducting qubits in 20 ns at 10^{-5} precision.
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A unified framework for efficient quantum simulation of nonlinear spectroscopy
A unified quantum framework computes n-th order nonlinear spectroscopies on near-term devices by reformulating multi-time responses as weighted sums of finite-amplitude expectation values via a generalized parameter shift rule.
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Theoretical Limits of Protocols for Distinguishing Different Unravelings
Different unravelings of open quantum systems cannot be distinguished by any protocol without prior knowledge of the measurement scheme, since access to unraveling-dependent nonlinear statistics would violate relativistic causality.
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Quantum circuit evolutionary framework applied on set partitioning problem
Proposes variable-topology quantum circuits with evolutionary optimization and a pseudo-counterdiabatic term that outperforms VQE on set partitioning by avoiding stagnation without classical optimizers.
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Multipartite entanglement structure of monitored quantum circuits
Monitored random quantum circuits lack divergent multipartite entanglement at criticality unlike standard critical systems, but two-site measurements with a protection mechanism enable genuinely multipartite entangled phases.
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Quantum simulation of dynamical phase transitions in noisy quantum devices
Depolarizing noise doubles the number of non-analytic points in the Loschmidt echo at dynamical phase transition times in the transverse-field Ising model, inducing an inherent error that zero-noise extrapolation cannot mitigate.
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Applications of the Quantum Phase Difference Estimation Algorithm to the Excitation Energies in Spin Systems on a NISQ Device
QPDE applied to 2- and 3-spin Heisenberg models on IBM processors yields 85-93% accuracy versus classical values after noise mitigation.