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Superposition: The Particle That Interferes With Itself

Roll a die under a cup and it is already a four; you just cannot see it yet. A quantum particle in superpositionThe quantum ability of a qubit to be in a combination of 0 and 1 simultaneously, which gives quantum computers their power. is not like that. Until you look, it is genuinely all of its possibilities at once.

What superposition actually is

The thing superposition is, is a quantum system holding several possible states at the same time, not secretly settled on one of them behind our backs.1 A spinning coin is a loose picture; the real version is stranger. Before measurementReading a quantum system, which forces it out of its blend of possibilities into a single definite 0 or 1 and ends its quantum behaviour. the system has no single value, only a spread of them, each carrying a definite weight. Physicists track that spread with a mathematical object called the wave functionThe mathematical description of a quantum system before it is measured, holding all of its possible states and their weights., and here is the catch: you never see the wave function itself.2 You only ever see what is left after you look.

You never see the wave function itself. You only ever see what is left after you look.

Measurement is the moment it ends. The act of measuring forces the system to settle on one outcome, at random, with the odds fixed by those weights, and the other possibilities simply vanish.2 Almost everything solid and definite in the everyday world is, in this sense, the wreckage of a superposition that has already collapsed.

Schrodinger's cat as a picture of superposition. While the box is closed the cat is drawn both alive and dead at once; opening the box, a measurement, gives just one outcome, alive or dead, at random.
Figure 1: Schrödinger's cat, the classic picture of superposition. Sealed in the box the cat is both alive and dead at once; opening the box (a measurement) collapses it to one outcome, alive or dead, at random.

How we know it is real

This is not philosophy; it has been watched happen. In a controlled double-slit experiment, electrons were fired at a pair of slits so slowly, about one per second, that the next electron set off more than two thousand kilometres behind the last.3 Each one was alone in the machine, with nothing to interfere with. Yet over two hours the single detector clicks piled up into an interference patternThe banded pattern that appears when waves overlap. Seeing one build up from single particles is the signature of superposition., the banded fingerprint of overlapping waves. The only honest reading is that each electron went through both slits at once and interfered with itself.

Each electron went through both slits at once and interfered with itself.

The effect is not confined to specks like electrons. In one landmark experiment a single atom was coaxed into a Schrödinger's cat state, sitting in two places more than 80 nanometres apart at the same time.4 That gap is enormous next to the atom itself. One thing was genuinely in two locations.

A double-slit experiment. Electrons are fired one at a time from a source on the left toward a barrier with two slits; wavefronts spread from each slit and overlap, and the detector on the right builds up a banded interference pattern. Each electron goes through both slits and interferes with itself.
Figure 2: The double-slit experiment, one electron at a time. Each electron passes through both slits and interferes with itself, so the single hits slowly build the banded interference pattern, the visible signature of superposition.

Fragile, and useful

So why does your desk never sit in two places? Because superpositionThe quantum ability of a qubit to be in a combination of 0 and 1 simultaneously, which gives quantum computers their power. survives only in isolation. The instant a quantum system touches its surroundings it leaks information into them, and the superposition decays into ordinary classical odds, a process called decoherenceThe loss of a qubit's quantum information as it interacts with the outside world. The main reason qubits are fragile..4 Everyday objects are in constant contact with everything around them, so they decohere almost at once. That is exactly why pushing superposition to larger, heavier objects is so hard, and so closely watched.1

For anyone trying to compute with it, the clock is the problem. A superposition lasts only so long before noise scrambles it, a window measured by the coherence timeHow long a qubit holds its delicate quantum state before noise scrambles it. Longer coherence means more time to compute., and every useful operation has to finish well inside that window.2

That is also where the payoff lives. A qubitThe basic unit of a quantum computer. Like a 'bit' in a normal computer, but instead of being only 0 or 1 it can be 0, 1, or a blend of both at once. is just a controllable superposition of 0 and 1, and superposition together with entanglementA quantum link where two qubits' states become tied together, so acting on or measuring one affects the other. It is a key resource for quantum computing. is what gives a quantum computer its reach: add one qubit and the space of states it can explore doubles.2 Superposition is the strange fact underneath all of it. Keep it alive, and it is the most valuable resource in the machine.

Sources

  1. Arndt, M. & Hornberger, K. “Testing the Limits of Quantum Mechanical Superpositions.” Nature Physics 10, 271–277 (2014). DOI: 10.1038/nphys2863. Preprint: arXiv:1410.0270.
  2. Ladd, T. D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C. & O’Brien, J. L. “Quantum Computers.” Nature 464, 45–53 (2010). DOI: 10.1038/nature08812. Preprint: arXiv:1009.2267.
  3. Bach, R., Pope, D., Liou, S.-H. & Batelaan, H. “Controlled Double-Slit Electron Diffraction.” New Journal of Physics 15, 033018 (2013). DOI: 10.1088/1367-2630/15/3/033018. Preprint: arXiv:1210.6243.
  4. Monroe, C., Meekhof, D. M., King, B. E. & Wineland, D. J. “A ‘Schrödinger Cat’ Superposition State of an Atom.” Science 272, 1131–1136 (1996). DOI: 10.1126/science.272.5265.1131.