dorsal/arxiv
View SchemaQuantum baker maps with controlled-NOT coupling
| Authors | Raul O. Vallejos, P. R. del Santoro, A. M. Ozorio de Almeida |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603212 |
| URL | https://arxiv.org/abs/quant-ph/0603212 |
| DOI | 10.1088/0305-4470/39/18/028 |
Abstract
The characteristic stretching and squeezing of chaotic motion is linearized within the finite number of phase space domains which subdivide a classical baker map. Tensor products of such maps are also chaotic, but a more interesting generalized baker map arises if the stacking orders for the factor maps are allowed to interact. These maps are readily quantized, in such a way that the stacking interaction is entirely attributed to primary qubits in each map, if each subsystem has power-of-two Hilbert space dimension. We here study the particular example of two baker maps that interact via a controlled-not interaction. Numerical evidence indicates that the control subspace becomes an ideal Markovian environment for the target map in the limit of large Hilbert space dimension.
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"abstract": "The characteristic stretching and squeezing of chaotic motion is linearized\nwithin the finite number of phase space domains which subdivide a classical\nbaker map. Tensor products of such maps are also chaotic, but a more\ninteresting generalized baker map arises if the stacking orders for the factor\nmaps are allowed to interact. These maps are readily quantized, in such a way\nthat the stacking interaction is entirely attributed to primary qubits in each\nmap, if each subsystem has power-of-two Hilbert space dimension. We here study\nthe particular example of two baker maps that interact via a controlled-not\ninteraction. Numerical evidence indicates that the control subspace becomes an\nideal Markovian environment for the target map in the limit of large Hilbert\nspace dimension.",
"arxiv_id": "quant-ph/0603212",
"authors": [
"Raul O. Vallejos",
"P. R. del Santoro",
"A. M. Ozorio de Almeida"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/18/028",
"title": "Quantum baker maps with controlled-NOT coupling",
"url": "https://arxiv.org/abs/quant-ph/0603212"
},
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