A concrete example of a paper using the add-i-to-reflected-part type of beam splitter is the "Quantum Cheshire Cats" paper:
A simple way to prepare such a state is to send a horizontally polarized photon towards a 50:50 beam splitter, as depicted in Fig. 1. The state after the beam splitter is |Psi>, with |L> now denoting the left arm and |R> the right arm; the reflected beam acquires a relative phase factor i.
The figure from the paper:
I also translated the optical system into a similar quantum logic circuit:
Note that I also included the left-path detector they talk about later in the paper, and some read-outs that show (among other things) that the conditional probability of the left-path detector having gone off, given that D1 went off, is indeed 100%. (The circuit editor I fiddle with is here.)
It's notable that my recreation uses gates with different global phase factors (the beam splitter is 1/2-i/2 and 1/2+i/2 instead of 1/sqrt(2) and i/sqrt(2)). It also ignores the mirrors that appear once on both paths. The effect is the same because global phase factors don't matter.
edit My ability to make sign errors upon sign errors is legendary and hopefully fixed.
MIRI's ongoing effort to publish the sequences as an eBook has given us the opportunity to update their contents and organization.
We're looking for suggested posts to reorder, add, or remove.
To help with this, here is a breakdown of the current planned contents of the eBook and any currently planned modifications. Following that is a list of the most popular links within the sequences to posts that are not included therein.
Now's a good time to suggested changes or improvements!
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Map and Territory
Added …What's a Bias Again? because it's meant to immediately follow Why Truth, And….
Mysterious Answers to Mysterious Questions
No changes.
A Human's Guide to Words
No changes.
How to Actually Change Your Mind
Politics is the Mind-Killer
Removed The Robbers Cave Experiment because it already appears in Death Spirals and the Cult Attractor, and there in the original chronological order which flows better.
Death Spirals and the Cult Attractor
Removed The Litany Against Gurus because it already appears in Politics is the Mind-killer.
Seeing with Fresh Eyes
Removed Asch's Conformity Experiment and Lonely Dissent because they both appear at the end of Death Spirals. Removed The Genetic Fallacy because it's in the Metaethics sequence: that's where it falls chronologically and it fits better there with the surrounding posts.
Noticing Confusion
Removed this entire subsequence because it is entirely contained within Mysterious Answers to Mysterious Questions.
Against Rationalization
Added Pascal's Mugging (before Torture vs Dust Specks) because it explains the 3^^^3 notation. Added Torture vs Dust Specks before A Case Study of Motivated Continuation because A Case Study refers to it frequently.
Against Doublethink
No changes.
Overly Convenient Excuses
Removed How to Convince Me that 2+2=3 because it's already in Map & Territory.
Letting Go
No change.
The Simple Math of Evolution
Added Evolutionary Psychology because it fits nicely at the end and it's referred to by other posts many times.
Challenging the Difficult
No change.
Yudkowsky's Coming of Age
No change.
Reductionism
No change. (Includes the Zombies subsequence.)
Quantum Physics
No change. Doesn't include any "Preliminaries" posts, since they'd all be duplicates
Metaethics
No change.
Fun Theory
No change.
The Craft and the Community
No change.
Appendix
Includes:
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Here are the most-frequently-referenced links within the sequences to posts outside of the sequences (with a count of three or more). This may help you notice posts that you think should be included in the sequences eBook.
Suggestions?