dorsal/arxiv
View SchemaA new type of complementarity between quantum and classical information
| Authors | Jonathan Oppenheim, Karol Horodecki, Michal Horodecki Pawel Horodecki, Ryszard Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207025 |
| URL | https://arxiv.org/abs/quant-ph/0207025 |
| DOI | 10.1103/PhysRevA.68.022307 |
| Journal | Phys. Rev. A 68, 022307 (2003) |
Abstract
Physical systems contain information which can be divided between classical and quantum information. Classical information is locally accessible and allows one to perform tasks such as physical work, while quantum information allows one to perform tasks such as teleportation. It is shown that these two kinds of information are complementarity in the sense that two parties can either gain access to the quantum information, or to the classical information but not both. This complementarity has a form very similar to the complementarities usually encountered in quantum mechanics. For pure states, the entanglement plays the role of Planck's constant. We also find another class of complementarity relations which applies to operators, and is induced when two parties can only perform local operations and communicate classical. In order to formalize this notion we define the restricted commutator. Observables such as the parity and phase of two qubits commute, but their restricted commutator is non-zero. It is also found that complementarity is pure in the sense that can be ''decoupled'' from the uncertainty principle.
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"abstract": "Physical systems contain information which can be divided between classical\nand quantum information. Classical information is locally accessible and allows\none to perform tasks such as physical work, while quantum information allows\none to perform tasks such as teleportation. It is shown that these two kinds of\ninformation are complementarity in the sense that two parties can either gain\naccess to the quantum information, or to the classical information but not\nboth. This complementarity has a form very similar to the complementarities\nusually encountered in quantum mechanics. For pure states, the entanglement\nplays the role of Planck\u0027s constant. We also find another class of\ncomplementarity relations which applies to operators, and is induced when two\nparties can only perform local operations and communicate classical. In order\nto formalize this notion we define the restricted commutator. Observables such\nas the parity and phase of two qubits commute, but their restricted commutator\nis non-zero. It is also found that complementarity is pure in the sense that\ncan be \u0027\u0027decoupled\u0027\u0027 from the uncertainty principle.",
"arxiv_id": "quant-ph/0207025",
"authors": [
"Jonathan Oppenheim",
"Karol Horodecki",
"Michal Horodecki Pawel Horodecki",
"Ryszard Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.022307",
"journal_ref": "Phys. Rev. A 68, 022307 (2003)",
"title": "A new type of complementarity between quantum and classical information",
"url": "https://arxiv.org/abs/quant-ph/0207025"
},
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