Plane wave function Updated 2025-07-16
In this solution of the Schrödinger equation, by the uncertainty principle, position is completely unknown (the particle could be anywhere in space), and momentum (and therefore, energy) is perfectly known.
The plane wave function appears for example in the solution of the Schrödinger equation for a free one dimensional particle. This makes sense, because when solving with the time-independent Schrödinger equation, we do separation of variable on fixed energy levels explicitly, and the plane wave solutions are exactly fixed energy level ones.
Quantum error correction Updated 2025-07-16
Technique that uses multiple non-ideal qubits (physical qubits) to simulate/produce one perfect qubit (logical).
One is philosophically reminded of classical error correction codes, where we also have multiple input bits per actual information bit.
TODO understand in detail. This appears to be a fundamental technique since all physical systems we can manufacture are imperfect.
Part of the fundamental interest of this technique is due to the quantum threshold theorem.
For example, when PsiQuantum raised 215M in 2020, they announced that they intended to reach 1 million physical qubits, which would achieve between 100 and 300 logical qubits.
Spycraft Updated 2025-07-16
Symmetry Updated 2025-07-16
Directly modelled by group.
John C. Baez Updated 2025-07-16
Phase-space formulation Updated 2025-07-16
An "alternative" formulation of quantum mechanics that does not involve operators.
Symmetric multilinear map Updated 2025-07-16
Same value if you swap any input arguments.
Five Eyes Updated 2025-07-16

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