Phys. Rev. Lett. 77, 793–797 (1996)Error Correcting Codes in Quantum TheoryReceived 4 October 1995; published in the issue dated 29 July 1996 A new type of uncertainty relation is presented, concerning the information-bearing properties of a discrete quantum system. A natural link is then revealed between basic quantum theory and the linear error correcting codes of classical information theory. A subset of the known codes is described, having properties which are important for error correction in quantum communication. It is shown that a pair of states which are, in a certain sense, “macroscopically different,” can form a superposition in which the interference phase between the two parts is measurable. This provides a highly stabilized “Schrödinger cat” state. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.793
DOI:
10.1103/PhysRevLett.77.793
PACS:
03.65.Bz, 03.75.Dg, 89.70.+c
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