What is a unitary transformation and how does it relate to the rotation of a quantum system in the Hilbert space?
Sunday, 06 August 2023 by EITCA Academy
A unitary transformation is a fundamental concept in quantum mechanics that describes the evolution of a quantum system in the Hilbert space. It is a linear transformation that preserves the inner product between vectors, ensuring that the norm and the orthogonality of vectors are conserved. In other words, it preserves the probability amplitudes of quantum
- Published in Quantum Information, EITC/QI/QIF Quantum Information Fundamentals, Quantum Information processing, Time evolution of a quantum system, Examination review
Tagged under: Hilbert Space, Quantum Information, Quantum Mechanics, Quantum System, Rotation, Unitary Transformation
Explain the measurement axiom in quantum mechanics and how it affects the state of a system after measurement.
Sunday, 06 August 2023 by EITCA Academy
The measurement axiom is a fundamental concept in quantum mechanics that describes the effect of measurement on the state of a quantum system. It states that when a measurement is performed on a quantum system, the system will collapse into one of the eigenstates of the observable being measured, with the probability of each outcome
- Published in Quantum Information, EITC/QI/QIF Quantum Information Fundamentals, Quantum Entanglement, K-level system and bra-ket notation, Examination review
Tagged under: Eigenstates, Measurement Axiom, Observable, Quantum Information, Quantum Mechanics, Quantum System