The article introduces the concept of quaterbits, which differ from qubits by having four states instead of two, based on the quaternion mathematical framework established in 1843 by Hamilton. While qubits rely on complex numbers and are foundational to existing quantum computing paradigms, quaterbits present new computational opportunities through their 4-dimensional state representation. The transition from qubits to quaterbits necessitates an understanding of linear algebra, much like quantum computation's requirement for proficiency in complex number systems. This article also encourages readers to explore related educational content from IBM and D-Wave.
The quaterbit, unlike the qubit, has 4 states due to its foundation in quaternion mathematics, expanding the potential computational capabilities.
Quaterbits are vector representations of 4 by 1, and their quantum gates are expressed in 4 by 4 matrices, presenting enhanced computational possibilities.
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