Knotted picture of unitary transformation applied to single particle quantum state. (English) Zbl 1392.81011
Summary: This paper introduces the unified expression of four Bell bases and uses the composition operation in knot theory to obtain the knotted picture of unitary operators based on Pauli operators, and gives the knotted expressions of 12 inversion relations between the four Bell bases.
MSC:
| 81P16 | Quantum state spaces, operational and probabilistic concepts |
| 57M25 | Knots and links in the \(3\)-sphere (MSC2010) |
