When two or more subsystems of a quantum system interact with each other they can become entangled. In this case the individual subsystems can no longer be described as pure quantum states. For systems with only 2 subsystems this entanglement can be described using the Schmidt decomposition. This selects a preferred orthonormal basis for expressing the wavefunction and gives a measure of the degree of entanglement present in the system. The extension of this to the more general case of n subsystems is not yet known. We present a review of this process using the standard representation and apply this method to the geometric algebra representation. This latter form has the advantage of suggesting a generalisation to n subsystems.
CITATION STYLE
Parker, R., & Doran, C. J. L. (2002). Analysis of One and Two Particle Quantum Systems using Geometric Algebra. In Applications of Geometric Algebra in Computer Science and Engineering (pp. 213–226). Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-0089-5_20
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