The GHZ experiment cartoon
I'm still a bit obsessed with the GHZ experiment. This is the one where you prepare a GHZ state $\lvert 000 \rangle + \lvert 111 \rangle$ and send one qubit to each of 3 protagonists: Alice, Bob, and Charlie. (I will be ignoring shared normalizer constants throughout this post, as I find they don't add anything to the understanding.) If you do the maths it turns out that when all three choose to measure in the $\lvert + \rangle$, $\lvert - \rangle$ basis (shorthand for $\lvert 0 \rangle + \lvert 1\rangle$ and $\lvert 0 \rangle - \lvert 1\rangle$) then they are guarranteed to get a parity zero result. On the other hand if only one measures in this basis and the other two measure in the $\lvert +i\rangle$, $\lvert -i\rangle$ basis (shorthand for $\lvert 0 \rangle + i\lvert 1\rangle$ and $\lvert 0 \rangle - i\lvert 1\rangle$) they are guarranteed to get a parity one result. As I showed in an earlier post this appears to be incompatible with the outcomes being prede...
![echo 'digraph { rankdir=LR; subgraph cluster_0 { style=filled; color=lightgrey; node [style=filled,color=white]; Eukarya; label = "Domain"; } subgraph cluster_1 { style=filled; color=lightgrey; node [style=filled,color=white]; Animalia; label = "Kingdom"; } subgraph cluster_2 { style=filled; color=lightgrey; node [style=filled,color=white]; Chordata; label = "Phylum"; } subgraph cluster_3 { style=filled; color=lightgrey; node [style=filled,color=white]; Mammalia; label = "Class"; } subgraph cluster_4 { style=filled; color=lightgrey; node [style=filled,color=white]; Carnivora; Primates; label = "Order"; } subgraph cluster_5 { style=filled; color=lightgrey; node [style=filled,color=white]; Canidae; Felidae; Hominids; label = "Family"; } subgraph cluster_6 { style=filled; color=lightgrey; node [style=filled,color=white]; Canis; Felis; Homo; label = "Genus"; } subgraph cluster_7 { style=filled; color=lightgrey; node [style=filled,color=white]; Lupus; Catus; Sapiens; label = "Species"; } subgraph cluster_8 { style=filled; color=lightgrey; node [style=filled,color=white]; Alex; Anna; Ben; Jazz; Sashimi; label = "Cohabitants"; } Eukarya -> Animalia ; Animalia -> Chordata ; Chordata -> Mammalia ; Mammalia -> Primates ; Mammalia -> Carnivora ; Primates -> Hominids ; Carnivora -> Canidae ; Hominids -> Homo ; Homo -> Sapiens ; Sapiens -> Anna ; Sapiens -> Alex ; Anna -> Ben ; Alex -> Ben; Canidae -> Canis ; Canis -> Lupus ; Lupus -> Jazz ; Carnivora -> Felidae ; Felidae -> Felis ; Felis -> Catus ; Catus -> Sashimi ; }' | dot -Tpng -o out.png](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwQKtF2c7OEwfRqjCvTH6CgW3M-W7w3HGsULtXecB4Ba8CQK6cZw7nCQEmKnemH24EL1BR0R2E_e7HQwhp4diXxPbvyCwARDAowwuK2d_LQ1A7emqDVb6YmCngpAkCSHnieVfIPXXC68o/w640-h143/graph.png)
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