N.J. Cerf, C. Adami: "Negative entropy and information in quantum mechanics," Phys. Rev. Lett. 79 (1997) 5194 (quantph /9512022). Home/Search Document Not in Database Summary APS Related Articles Check |
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Controlling Information: Cooling Cbits and Qbits - Touchette (1999) (Correct)
....as defined by Shannon [1] As a direct consequence of this, the classical conditional entropy, defined as H(X jY ) H(X;Y ) Gamma H(Y ) must always be positive. This is in contrast with the quantum analog of the conditional entropy S(X jY ) S(X; Y ) Gamma S(Y ) which can be negative [2]. For an EPR pair, as for instance, S(X jY ) S(Y jX) Gamma1 bit. In this term project, I shall prove that negative entropies in a bipartite system can be used to cancel positive entropies. More precisely, I will show with an explicit example that, given a bipartite system XY such that H(X jY ....
N.J. Cerf, C. Adami, Negative entropy and information in quantum mechanics, Phys. Rev. Lett. 79, 5194 (1997).
Quantum Information Theory - Barnum, III (1998) (Correct)
....joint entropy of the composite system; it is a quantity which can be larger in quantum theory than it can in classical theory, due to entanglement. It is often termed the quantum mutual information becuase of the formal similarity to the classical mutual information H(A) H(B) Gamma H(AB) 56] [67]. In this form, the inequality says that this excess of marginal over joint entropies is reduced if we ignore (trace over) parts of each of the subsystems. This follows from strong subadditivity, as we may show by rewriting it yet again as: S(ae R 1 Q 1 R 2 Q 2 ) S(ae Q 1 ) S(ae Q 2 ) ....
N. Cerf and C. Adami, "Negative entropy and information in quantum mechanics, " Physical Review Letters, vol. 79, pp. 5194, 1997.
Quantum Information Theory - an Invitation - Werner (2001) (2 citations) (Correct)
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N.J. Cerf, C. Adami: "Negative entropy and information in quantum mechanics," Phys. Rev. Lett. 79 (1997) 5194 (quantph /9512022).
On a quantum version of Shannon's conditional entropy - Schrader (2000) (Correct)
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N.J. Cerf and C. Adami, \Negative Entropy and Information in Quantum Mechanics ", Phys. Rev. Lett. 79, 5194 - 5197 (1997). 15
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