dorsal/arxiv
View SchemaPreserving Quantum States : A Super-Zeno Effect
| Authors | Deepak Dhar, Lov K. Grover, Shasanka M. Roy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504070 |
| URL | https://arxiv.org/abs/quant-ph/0504070 |
Abstract
We construct an algorithm for suppressing the transitions of a quantum mechanical system, initially prepared in a subspace P of the full Hilbert space of the system, to outside this subspace by subjecting it to a sequence of unequally spaced short-duration pulses. Each pulse multiplies the amplitude of the vectors in the subspace by -1. The number of pulses required by the algorithm to limit the leakage probability to $\epsilon$ in time $T$ increases as $T \exp[ \sqrt{\log(T^2/\epsilon)}]$, compared to $T^2 \epsilon^{-1}$ in the standard quantum Zeno effect.
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"abstract": "We construct an algorithm for suppressing the transitions of a quantum\nmechanical system, initially prepared in a subspace P of the full Hilbert space\nof the system, to outside this subspace by subjecting it to a sequence of\nunequally spaced short-duration pulses. Each pulse multiplies the amplitude of\nthe vectors in the subspace by -1. The number of pulses required by the\nalgorithm to limit the leakage probability to $\\epsilon$ in time $T$ increases\nas $T \\exp[ \\sqrt{\\log(T^2/\\epsilon)}]$, compared to $T^2 \\epsilon^{-1}$ in the\nstandard quantum Zeno effect.",
"arxiv_id": "quant-ph/0504070",
"authors": [
"Deepak Dhar",
"Lov K. Grover",
"Shasanka M. Roy"
],
"categories": [
"quant-ph"
],
"title": "Preserving Quantum States : A Super-Zeno Effect",
"url": "https://arxiv.org/abs/quant-ph/0504070"
},
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