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zekise

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Michael Price said:...

Hi Michael,

Is it fair to say that whether system A is coherent or decoherent, it is always with respect to another system B? Of course the environment is another system (E), and an observer yet another system (O). So when we specify coherence or decoherence of system A, it is in respect to another system B (or E or O). It is a relational concept. For example A can be coherent w.r.t. B but decoherent w.r.t. system C. A system is not coherent or decoherent by itself.

Now, is it correct to say that if A is fully (100%) decoherent w.r.t. C, then the two systems are entangled?

And if A is fully (100%) coherent w.r.t. B, then A appears as a superposition to B?

Finally, coherence (ǂ) and decoherence (≡) is commutative. A ǂ B ==> B ǂ A, A ≡ B ==> B ≡ A .

Decoherence is transitive, but coherence is not. A ≡ B & B ≡ C ==> A ≡ C .

Coherence (or disentanglement) results in a loss of quantum information between A & B. Thus energy is required.

Decoherence (or entanglement) results is a gain of information between A & B, and energy is released.

Your opinion is appreciated.

Zek

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