dorsal/arxiv
View SchemaMinimum-energy pulses for quantum logic cannot be shared
| Authors | Julio Gea-Banacloche, Masanao Ozawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611137 |
| URL | https://arxiv.org/abs/quant-ph/0611137 |
| DOI | 10.1103/PhysRevA.74.060301 |
Abstract
We show that if an electromagnetic energy pulse with average photon number <n> is used to carry out the same quantum logical operation on a set of N atoms, either simultaneously or sequentially, the overall error probability in the worst case scenario (i.e., maximized over all the possible initial atomic states) scales as N^2/<n>. This means that in order to keep the error probability bounded by N\epsilon, with \epsilon ~ 1/<n>, one needs to use N/\epsilon photons, or equivalently N separate "minimum-energy'' pulses: in this sense the pulses cannot, in general, be shared. The origin for this phenomenon is found in atom-field entanglement. These results may have important consequences for quantum logic and, in particular, for large-scale quantum computation.
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"abstract": "We show that if an electromagnetic energy pulse with average photon number\n\u003cn\u003e is used to carry out the same quantum logical operation on a set of N\natoms, either simultaneously or sequentially, the overall error probability in\nthe worst case scenario (i.e., maximized over all the possible initial atomic\nstates) scales as N^2/\u003cn\u003e. This means that in order to keep the error\nprobability bounded by N\\epsilon, with \\epsilon ~ 1/\u003cn\u003e, one needs to use\nN/\\epsilon photons, or equivalently N separate \"minimum-energy\u0027\u0027 pulses: in\nthis sense the pulses cannot, in general, be shared. The origin for this\nphenomenon is found in atom-field entanglement. These results may have\nimportant consequences for quantum logic and, in particular, for large-scale\nquantum computation.",
"arxiv_id": "quant-ph/0611137",
"authors": [
"Julio Gea-Banacloche",
"Masanao Ozawa"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.060301",
"title": "Minimum-energy pulses for quantum logic cannot be shared",
"url": "https://arxiv.org/abs/quant-ph/0611137"
},
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