Classical Simulation of Arbitrary Quantum Noise

Abstract

I present an explicit classical simulation of arbitrary quantum noise for quantum models in which one qubit interacts with a quantum bath. The classical model simulates the interaction of the bath and the qubit by random unitary evolutions. I show that any arbitrary quantum dynamics, including quantum dissipation, recurrence, and dephasing, can be simulated classically when one allows the unitary operators in the classical model to depend on the initial state of the system and bath. For initial mixed states of the system and non-product states of the system and bath, I demonstrate that random unitary expansion is still possible, in terms of a set of pure states.

9 pages

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Cited by in corpus (4)

• Classical evolution in quantum systems
• Quantifying environment non-classicality in dissipative open quantum dynamics
• Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
• Oscillator bath simulation of the spin bath