dorsal/arxiv
View SchemaReference frames, superselection rules, and quantum information
| Authors | Stephen D. Bartlett, Terry Rudolph, Robert W. Spekkens |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610030 |
| URL | https://arxiv.org/abs/quant-ph/0610030 |
| DOI | 10.1103/RevModPhys.79.555 |
| Journal | Rev. Mod. Phys. 79, 555 (2007) |
Abstract
Recently, there has been much interest in a new kind of ``unspeakable'' quantum information that stands to regular quantum information in the same way that a direction in space or a moment in time stands to a classical bit string: the former can only be encoded using particular degrees of freedom while the latter are indifferent to the physical nature of the information carriers. The problem of correlating distant reference frames, of which aligning Cartesian axes and synchronizing clocks are important instances, is an example of a task that requires the exchange of unspeakable information and for which it is interesting to determine the fundamental quantum limit of efficiency. There have also been many investigations into the information theory that is appropriate for parties that lack reference frames or that lack correlation between their reference frames, restrictions that result in global and local superselection rules. In the presence of these, quantum unspeakable information becomes a new kind of resource that can be manipulated, depleted, quantified, etcetera. Methods have also been developed to contend with these restrictions using relational encodings, particularly in the context of computation, cryptography, communication, and the manipulation of entanglement. This article reviews the role of reference frames and superselection rules in the theory of quantum information processing.
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"abstract": "Recently, there has been much interest in a new kind of ``unspeakable\u0027\u0027\nquantum information that stands to regular quantum information in the same way\nthat a direction in space or a moment in time stands to a classical bit string:\nthe former can only be encoded using particular degrees of freedom while the\nlatter are indifferent to the physical nature of the information carriers. The\nproblem of correlating distant reference frames, of which aligning Cartesian\naxes and synchronizing clocks are important instances, is an example of a task\nthat requires the exchange of unspeakable information and for which it is\ninteresting to determine the fundamental quantum limit of efficiency. There\nhave also been many investigations into the information theory that is\nappropriate for parties that lack reference frames or that lack correlation\nbetween their reference frames, restrictions that result in global and local\nsuperselection rules. In the presence of these, quantum unspeakable information\nbecomes a new kind of resource that can be manipulated, depleted, quantified,\netcetera. Methods have also been developed to contend with these restrictions\nusing relational encodings, particularly in the context of computation,\ncryptography, communication, and the manipulation of entanglement. This article\nreviews the role of reference frames and superselection rules in the theory of\nquantum information processing.",
"arxiv_id": "quant-ph/0610030",
"authors": [
"Stephen D. Bartlett",
"Terry Rudolph",
"Robert W. Spekkens"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/RevModPhys.79.555",
"journal_ref": "Rev. Mod. Phys. 79, 555 (2007)",
"title": "Reference frames, superselection rules, and quantum information",
"url": "https://arxiv.org/abs/quant-ph/0610030"
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