**Two of history’s greatest physicists argued for decades over one of the deepest mysteries of quantum mechanics. Today, their successors are opening new fronts in the battle to understand ‘spooky action at a distance’, writes Robyn Arianrhod.**

**Source: Einstein, Bohr and the origins of entanglement | Cosmos**

**It all began in October 1927, at the Fifth Solvay Congress in Brussels. It was Louis de Broglie’s first congress, and he had been “full of pleasure and curiosity” at the prospect of meeting Einstein, his teenage idol. Now 35, de Broglie happily reported: “I was particularly struck by his mild and thoughtful expression, by his general kindness, by his simplicity, and by his friendliness.”**

**Back in 1905, Einstein had helped pioneer quantum theory with his revolutionary discovery that light has the characteristics of both a wave and a particle. Niels Bohr later explained this as “complementarity”: depending on how you observe light, you will see either wave or particle behaviour. As for de Broglie, he had taken Einstein’s idea into even stranger territory in his 1924 PhD thesis: if light waves could behave like particles, then perhaps particles of matter could also behave like waves! After all, Einstein had shown that energy and matter were interchangeable, via E = mc^{2}.**

**Einstein was the first to publicly support de Broglie’s bold hypothesis. By 1926, Erwin Schrödinger had developed a mathematical formula to describe such “matter waves”, which he pictured as some kind of rippling sea of smeared-out particles. But Max Born showed that Schrödinger’s waves are, in effect, “waves of probability”. They encode the statistical likelihood that a particle will show up at a given place and time based on the behaviour of many such particles in repeated experiments. When the particle is observed, something strange appears to happen. The wave-function “collapses” to a single point, allowing us to see the particle at a particular position.**

**Born’s probability wave also fitted neatly with Werner Heisenberg’s recently proposed “uncertainty principle”. Heisenberg had concluded that in the quantum world it is not possible to obtain exact information about both the position and the momentum of a particle at the same time. He imagined the very act of measuring a quantum particle’s position, say by shining a light on it, gave it a jolt that changed its momentum, so the two could never be precisely measured at once.**

**When the world’s leading physicists gathered in Brussels in 1927, this was the strange state of quantum physics.**

**The official photograph of the participants shows 28 besuited, sober-looking men, and one equally serious woman, Marie Curie. But fellow physicist Paul Ehrenfest’s private photo of intellectual adversaries Bohr and Einstein captures the spirit of the conference: Bohr looks intensely thoughtful, hand on his chin, while Einstein is leaning back looking relaxed and dreamy. This gentle, contemplative picture belies the depth of the famous clash between these two intellectual titans – a clash that hinged on the extraordinary concept of quantum entanglement.**

**At the congress, Bohr presented his view of quantum mechanics for the first time. Dubbed the Copenhagen interpretation, in honour of Bohr’s home city, it combined his own idea of particle-wave complementarity with Born’s probability waves and Heisenberg’s uncertainty principle.**

**Most of the attendees readily accepted this view, but Einstein was perturbed. It was one thing for groups of particles to be ruled by chance; indeed Einstein had explained the jittery motion of pollen in apparently still water (dubbed Brownian motion) by invoking the random group behaviour of water molecules. Individual molecules, though, would still be ruled by Newton’s laws of motion; their exact movements could in principle be calculated.**

**By contrast, the Copenhagen theory held that subatomic particles were ruled by chance.**

**Einstein began his attack in the time-honoured tradition of reductio ad absurdum – arguing that the logical extension of quantum theory would lead to an absurd outcome.**

**After several sleepless nights, Bohr found a flaw in Einstein’s logic. Einstein did not retreat: he was sure he could convince Bohr of the absurdity of this strange new theory. Their debate flowed over into the Sixth Solvay Congress in 1930, and on until Einstein felt he finally had the pieces in place to checkmate Bohr at the seventh congress in 1933. Two weeks before that, however, Nazi persecution forced Einstein to flee**

**to the United States. The planned checkmate would have to wait.**

**When it came, it was deceptively simple. In 1935 at Princeton, Einstein and two collaborators, Boris Podolsky and Nathan Rosen, published what became known as the Einstein-Podolsky-Rosen paradox, or EPR for short. Podolsky wrote up the thought experiment in a mathematical form, but let me illustrate it with jellybeans.**

**Suppose you have a red and a green jellybean in a box. The box seals off the jellybeans from all others: technically speaking, the pair form an “isolated system”, and they are “entangled” in the sense that the colour of one jellybean gives information about the other. You can see this by asking a friend to close her eyes and pick a jellybean at random. If she picks red, you know the remaining sweet is green.**

**This is key to EPR: by knowing the colour of your friend’s jellybean, you can know the colour of your own without “disturbing” it by looking at it. But in trying to bypass the supposed observer-effect in this way, EPR had also inadvertently uncovered the strange idea of “entanglement”. The term was coined by Schrödinger after he read the EPR paper .**

**So now apply this technique to two electrons. Instead of a colour, each one has an intrinsic property called “spin”. Imagine something like the spin axis of a gyroscope. If two electrons are prepared together in the lab so that they have zero total spin, then the principle of conservation of angular momentum means that if one of the electrons has its spin axis up, the other electron’s axis must be down. The electrons are entangled, just as the jellybeans were.**

**With jellybeans, the colour of your friend’s chosen sweet is fixed, whether or not she actually observes it. With electrons, by contrast, until your friend makes her observation, quantum theory simply says there is a 50% chance its spin is up, and 50% it is down.**

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