Purely dissipative Lindbladians without Hamiltonian part can approximate unitary dynamics to ε error in diamond norm with O(t²/ε) time, which is optimal for time-independent cases.
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quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Introduces Amplitude-Phase Separation (APS) decomposition for quantum simulation of non-unitary dynamics, with complementary error scaling advantages in time-independent cases and unification of prior methods like LCHS and NDME.
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Hamiltonian dynamics from pure dissipation
Purely dissipative Lindbladians without Hamiltonian part can approximate unitary dynamics to ε error in diamond norm with O(t²/ε) time, which is optimal for time-independent cases.
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Quantum Simulation of Non-Unitary Dynamics via Amplitude-Phase Separation
Introduces Amplitude-Phase Separation (APS) decomposition for quantum simulation of non-unitary dynamics, with complementary error scaling advantages in time-independent cases and unification of prior methods like LCHS and NDME.