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harish.ravi
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In a density matrix, can some coherances (off diagonal terms) be zero while the diagonal terms(populations) aren't? I am confused because rhoij=Ci*Cj'. How can coherance be zero if Ci and Cj aren't?
A density matrix is a mathematical representation used in quantum mechanics to describe the state of a quantum system. It contains information about the probabilities of different states that the system can be in.
The density matrix is used to calculate the degree of coherence in a quantum system. Coherence refers to the ability of a quantum system to maintain a stable phase relationship between different states.
Yes, coherence can be zero in a density matrix if the system is in a completely mixed state. This means that the system is equally likely to be in any state and there is no preferred phase relationship between states.
Coherence in a density matrix can be affected by various factors such as temperature, external perturbations, and the presence of decoherence mechanisms. These factors can disrupt the stable phase relationship between states and decrease coherence.
Coherence is crucial for the functioning of many quantum technologies, such as quantum computing and quantum communication. The ability to maintain coherence allows for the manipulation and control of quantum states, which is essential for performing complex quantum operations.