00882nas a2200121 4500008004100000245007000041210006900111260001500180520048400195100002000679700001700699856004400716 2003 eng d00aCan quantum cryptography imply quantum mechanics? Reply to Smolin0 aCan quantum cryptography imply quantum mechanics Reply to Smolin c2003/11/113 a Clifton, Bub, and Halvorson (CBH) have argued that quantum mechanics can be
derived from three cryptographic, or broadly information-theoretic, axioms. But
Smolin disagrees, and he has given a toy theory that he claims is a
counterexample. Here we show that Smolin's toy theory violates an independence
condition for spacelike separated systems that was assumed in the CBH argument.
We then argue that any acceptable physical theory should satisfy this
independence condition.
1 aHalvorson, Hans1 aBub, Jeffrey uhttp://arxiv.org/abs/quant-ph/0311065v101116nas a2200157 4500008004100000245008100041210006900122260001500191300001600206490000700222520063100229100001700860700001700877700002000894856004400914 2002 eng d00aCharacterizing quantum theory in terms of information-theoretic constraints0 aCharacterizing quantum theory in terms of informationtheoretic c c2003/11/01 a1561 - 15910 v333 a We show that three fundamental information-theoretic constraints--the
impossibility of superluminal information transfer between two physical systems
by performing measurements on one of them, the impossibility of broadcasting
the information contained in an unknown physical state, and the impossibility
of unconditionally secure bit commitment--suffice to entail that the
observables and state space of a physical theory are quantum-mechanical. We
demonstrate the converse derivation in part, and consider the implications of
alternative answers to a remaining open question about nonlocality and bit
commitment.
1 aClifton, Rob1 aBub, Jeffrey1 aHalvorson, Hans uhttp://arxiv.org/abs/quant-ph/0211089v2