From: Amara Graps (amara@amara.com)
Date: Mon Sep 16 2002 - 14:30:12 MDT
Serafino:
>> Alice has photon 1, which is in a certain quantum state,
>> unknown to Alice and unknown to anyone else.
>> Let us say that this unknown quantum state is
>> |psi>_1 = a |0>_1 + b |1>_1
>> with |a|^2 + |b|^2 = 1
>> and where |0>_1 and b |1>_1 represent two orthogonal quantum
>> states and a and b represent complex amplitudes.
[...]
>> Leaving apart normalization factors we can write that the total state
>> of those 3 photons is
>> |psi>_1,2,3 =
>> ( |0>_1 |1>_2 - |1>_1 |0>_2 ) (- a |0>_3 - b |1>_3 ) +
>> ( |0>_1 |1>_2 + |1>_1 |0>_2 ) (- a |0>_3 + b |1>_3 ) +
>> ( |0>_1 |0>_2 - |1>_1 |1>_2 ) ( a |1>_3 + b |0>_3 ) +
>> ( |0>_1 |0>_2 + |1>_1 |1>_2 ) ( a |1>_3 - b |0>_3 )
[...]
Lee:
>Now that's a bit much (for me).
My favorite quantum text(s) (from 18 yrs ago) is : _Quantum Mechanics_
(vol 1&2) by Cohen-Tannoudji, 1977, Wiley.
This bra-ket notation (which he used probably to save typing and time)
is described in great detail in Chapter 2. Serafino's equations are
a shorthand gedanken experiment. I'll bet you'll get it if you
work it through.
-- ******************************************************************** Amara Graps, PhD email: amara@amara.com Computational Physics vita: ftp://ftp.amara.com/pub/resume.txt Multiplex Answers URL: http://www.amara.com/ ******************************************************************** "Opportunity is missed by most people because it is dressed in overalls and looks like work." -Thomas Edison
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