Kraus decomposition for chaotic environments including time-dependent subsystem Hamiltonians

Abstract

We derive an exact and explicit Kraus decomposition for the reduced density of a quantum system simultaneously interacting with time-dependent external fields and a chaotic environment of thermodynamic dimension. We test the accuracy of the Kraus decomposition against exact numerical results for a CNOT gate performed on two qubits of an $(N+2)$-qubit statically flawed isolated quantum computer. Here the $N$ idle qubits comprise the finite environment. We obtain very good agreement even for small $N$.

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• Arbitrarily accurate composite pulses
• Probing internal bath dynamics by a Rabi oscillator-based detector
• Kraus decomposition for chaotic environments
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• Mean field master equation for self-interacting baths II: extension to time-dependent subsystem Hamiltonians

Cited by in corpus (1)

• Manifold algorithmic errors in quantum computers with static internal imperfections