{"product_id":"triumvira-the-ghz-state-physics-t-shirt","title":"Triumvira – The GHZ State Physics T-Shirt","description":"\u003cp\u003eThree sisters, palms together, each holding an X or Y rune. One run, and the hidden variables have nowhere to hide.\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eThree qubits are entangled in a GHZ state. Quantum mechanics says certain products of X and Y measurements are −1 with certainty. If each result were a pre-set local value of ±1, multiplying those three products would force XXX = −1, but quantum mechanics says XXX = +1. This is Bell's theorem without inequalities.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e|GHZ⟩ = (|000⟩ + |111⟩)\/√2\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e|000⟩, |111⟩: all three qubits in state 0, or all in state 1\u003c\/li\u003e\n\u003cli\u003eX, Y: Pauli spin or polarisation measurements on each qubit, outcomes ±1 (dimensionless)\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eGreenberger, Horne and Zeilinger introduced it in 1989; Pan et al. tested it with three photons (Nature, 2000).\u003c\/p\u003e\u003ch3\u003eOn the shirt\u003c\/h3\u003e\u003cp\u003eFront: Triumvira, the pixel-art character, with the title. Back: the GHZ state, the three certain results, the hidden-variable contradiction and both sources. Printed on a unisex tee.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"S \/ White","offer_id":50936415092839,"sku":"15383071388239889146","price":29.99,"currency_code":"USD","in_stock":true},{"title":"S \/ Black","offer_id":50936415125607,"sku":"19514952274169617967","price":29.99,"currency_code":"USD","in_stock":true},{"title":"M \/ White","offer_id":50936415158375,"sku":"34237753500853184765","price":29.99,"currency_code":"USD","in_stock":true},{"title":"M \/ Black","offer_id":50936415191143,"sku":"13015460420873381054","price":29.99,"currency_code":"USD","in_stock":true},{"title":"L \/ White","offer_id":50936415223911,"sku":"28408944948064127930","price":29.99,"currency_code":"USD","in_stock":true},{"title":"L \/ Black","offer_id":50936415256679,"sku":"71596211679642201349","price":29.99,"currency_code":"USD","in_stock":true},{"title":"XL \/ White","offer_id":50936415289447,"sku":"70697928115935270120","price":29.99,"currency_code":"USD","in_stock":true},{"title":"XL \/ Black","offer_id":50936415322215,"sku":"69224096208809655714","price":29.99,"currency_code":"USD","in_stock":true},{"title":"2XL \/ White","offer_id":50936415354983,"sku":"32735300252951288891","price":29.99,"currency_code":"USD","in_stock":true},{"title":"2XL \/ Black","offer_id":50936415387751,"sku":"25677413837411251451","price":29.99,"currency_code":"USD","in_stock":true},{"title":"3XL \/ White","offer_id":50936415420519,"sku":"98346193890442768997","price":29.99,"currency_code":"USD","in_stock":true},{"title":"3XL \/ Black","offer_id":50936415453287,"sku":"23146392023780156337","price":29.99,"currency_code":"USD","in_stock":true},{"title":"4XL \/ White","offer_id":50936415486055,"sku":"33801257657760838418","price":29.99,"currency_code":"USD","in_stock":true},{"title":"4XL \/ Black","offer_id":50936415518823,"sku":"32688050998062841171","price":29.99,"currency_code":"USD","in_stock":true},{"title":"5XL \/ White","offer_id":50936415551591,"sku":"26084114298175898136","price":29.99,"currency_code":"USD","in_stock":true},{"title":"5XL \/ Black","offer_id":50936415584359,"sku":"11408362501625449306","price":29.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/ghz-state_front_01_white.png?v=1793595152","url":"https:\/\/pixelatedphysics.com\/de\/products\/triumvira-the-ghz-state-physics-t-shirt","provider":"Pixelated Physics","version":"1.0","type":"link"}