dorsal/arxiv
View SchemaDegradation of a quantum reference frame
| Authors | Stephen D. Bartlett, Terry Rudolph, Robert W. Spekkens, Peter S. Turner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602069 |
| URL | https://arxiv.org/abs/quant-ph/0602069 |
| DOI | 10.1088/1367-2630/8/4/058 |
| Journal | New J. Phys. 8, 58 (2006) |
Abstract
We investigate the degradation of reference frames, treated as dynamical quantum systems, and quantify their longevity as a resource for performing tasks in quantum information processing. We adopt an operational measure of a reference frame's longevity, namely, the number of measurements that can be made against it with a certain error tolerance. We investigate two distinct types of reference frame: a reference direction, realized by a spin-j system, and a phase reference, realized by an oscillator mode with bounded energy. For both cases, we show that our measure of longevity increases quadratically with the size of the reference system and is therefore non-additive. For instance, the number of measurements that a directional reference frame consisting of N parallel spins can be put to use scales as N^2. Our results quantify the extent to which microscopic or mesoscopic reference frames may be used for repeated, high-precision measurements, without needing to be reset - a question that is important for some implementations of quantum computing. We illustrate our results using the proposed single-spin measurement scheme of magnetic resonance force microscopy.
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"abstract": "We investigate the degradation of reference frames, treated as dynamical\nquantum systems, and quantify their longevity as a resource for performing\ntasks in quantum information processing. We adopt an operational measure of a\nreference frame\u0027s longevity, namely, the number of measurements that can be\nmade against it with a certain error tolerance. We investigate two distinct\ntypes of reference frame: a reference direction, realized by a spin-j system,\nand a phase reference, realized by an oscillator mode with bounded energy. For\nboth cases, we show that our measure of longevity increases quadratically with\nthe size of the reference system and is therefore non-additive. For instance,\nthe number of measurements that a directional reference frame consisting of N\nparallel spins can be put to use scales as N^2. Our results quantify the extent\nto which microscopic or mesoscopic reference frames may be used for repeated,\nhigh-precision measurements, without needing to be reset - a question that is\nimportant for some implementations of quantum computing. We illustrate our\nresults using the proposed single-spin measurement scheme of magnetic resonance\nforce microscopy.",
"arxiv_id": "quant-ph/0602069",
"authors": [
"Stephen D. Bartlett",
"Terry Rudolph",
"Robert W. Spekkens",
"Peter S. Turner"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/8/4/058",
"journal_ref": "New J. Phys. 8, 58 (2006)",
"title": "Degradation of a quantum reference frame",
"url": "https://arxiv.org/abs/quant-ph/0602069"
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