19/12/14 11:07:04.60 ejR8MGUa.net
>>15
じゃぁ、重要なところだけ抜き出すと、
α|0>+β|1>->(α|0>+β|1>)(α|0>+β|1>)
=α^2|00>+αβ|01>+βα|10>+β^2|11>
->α^2|0>+(1-α^4)^(1/2)|1>
α^2|0>+(1-α^4)^(1/2)|1>->(α^2|0>+(1-α^4)^(1/2)|1>)(α^2|0>+(1-α^4)^(1/2)|1>)
=α^4|00>+α^2*(1-α^4)^(1/2)|01>+(1-α^4)^(1/2)*α^2|10>+(1-α^4)|11>
->α^4|0>+(1-α^8)^(1/2)|1>
…->
α|0>+β|1>->α^(2^n)|0>+(1-α^(2^(n+1))^(1/2)|1>
～
{|0>->|0>
{((1/2)^(1/2)(|0>+|1>)->|1>
ブラックホール上で量子の複製(α|0>+β|1>->(α|0>+β|1>)(α|0>+β|1>))が行われているというのは、
[2] Steffen Gielen, Does black-hole evaporation imply that physics is non-unitary, and if so, what mustthe laws of physics look like? An Essay, arXiv.org (2009)
[3] Patrick Hayden, John Preskill, Black holes as mirrors: quantum information in random subsystems,arXiv:0708.4025(2007)