dorsal/arxiv
View SchemaComplex chaos in the conditional dynamics of qubits
| Authors | T. Kiss, I. Jex, G. Alber, S. Vymetal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511208 |
| URL | https://arxiv.org/abs/quant-ph/0511208 |
| DOI | 10.1103/PhysRevA.74.040301 |
| Journal | Phys. Rev. A 74, 040301(R) (2006) |
Abstract
We analyze the consequences of iterative measurement-induced nonlinearity on the dynamical behavior of qubits. We present a one-qubit scheme where the equation governing the time evolution is a complex-valued nonlinear map with one complex parameter. In contrast to the usual notion of quantum chaos, exponential sensitivity to the initial state occurs here. We calculate analytically the Lyapunov exponent based on the overlap of quantum states, and find that it is positive. We present a few illustrative examples of the emerging dynamics.
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"abstract": "We analyze the consequences of iterative measurement-induced nonlinearity on\nthe dynamical behavior of qubits. We present a one-qubit scheme where the\nequation governing the time evolution is a complex-valued nonlinear map with\none complex parameter. In contrast to the usual notion of quantum chaos,\nexponential sensitivity to the initial state occurs here. We calculate\nanalytically the Lyapunov exponent based on the overlap of quantum states, and\nfind that it is positive. We present a few illustrative examples of the\nemerging dynamics.",
"arxiv_id": "quant-ph/0511208",
"authors": [
"T. Kiss",
"I. Jex",
"G. Alber",
"S. Vymetal"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.74.040301",
"journal_ref": "Phys. Rev. A 74, 040301(R) (2006)",
"title": "Complex chaos in the conditional dynamics of qubits",
"url": "https://arxiv.org/abs/quant-ph/0511208"
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