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Trapped Ion Quantum Computing Quantum Simulation

Classical Simulation of Quantum Noise

arXiv
Authors: Daniel Crow, Robert Joynt

Year

2013

Paper ID

32535

Status

Preprint

Abstract Read

~2 min

Abstract Words

113

Citations

N/A

Abstract

Dephasing decoherence induced by interaction of one qubit with a quantum bath can be simulated classically by random unitary evolution without the need for a bath and this random unitary evolution is equivalent to the quantum case. For a general dephasing model and a single qubit system, we explicitly construct the noise functional and completely specify the random unitary evolution. To demonstrate the technique, we applied our results to three paradigmatic models: spin-boson, central spin, and quantum impurity. For multiple qubits, we identify a class of generalized quantum dephasing models that can be simulated classically. Finally we show that depolarizing quantum models can be simulated classically for all dimensionalities of the principal system.

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  • Dephasing decoherence induced by interaction of one qubit with a quantum bath can be simulated classically by random unitary evolution without the need for a bath and this...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.6383 [2] arXiv https://arxiv.org/abs/1309.6383 [3] Publisher https://arxiv.org/abs/1309.6383

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