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suma
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Is it not possible to deduce quantum states from a density matrix?
suma said:(1 0)'*(1 0) = (1 0; 0 0), ok
but if (a1 a2)'*(a1 a2) = (1 0; 0 0) and in general case there is no solution to find a1 and a2, is this correct?
thanks
naima said:Is (1 0; 0 0) a notation for the density matrix in a v1 v2 basis?
if yes this density matrix is |v1> < v1|
suma said:Is it not possible to deduce quantum states from a density matrix?
suma said:hi,
this was just an example, the main question is whether states can be derived from density matrix
thanks
A density matrix is a mathematical representation of a quantum system that takes into account both the pure and mixed states of the system. It is a matrix of numbers that describes the probability of the system being in a particular state.
The density matrix is used to calculate the properties of a quantum system, such as the expectation value of observables and the evolution of the system over time. It is also used to study the entanglement and coherence of quantum states.
Yes, it is possible to deduce quantum states from a density matrix. This process is known as quantum state tomography and involves reconstructing the quantum state based on measurements of the system.
One of the main challenges is that there are an infinite number of possible quantum states that could produce the same density matrix. This makes the reconstruction process complex and requires a large number of measurements to accurately deduce the state.
Deducing quantum states from a density matrix has applications in quantum information processing, quantum communication, and quantum computing. It can also be used for characterizing and diagnosing quantum systems, as well as studying the dynamics of complex quantum systems.