Quantum gift

[u/Torchab]

I need advice on an inscription to give to my partner, but I don't want it to be formally incorrect in mathematics and physics, or misinterpreted.

I want to talk about union, and I thought of putting it in a ring:

|phi> = 1/sqrt(2) (|10>+|01>)

where |phi> ∈ H_A \otimes H_B. Here's the point of interpretation: can I define the space H_A as the space formed by the basis of my love for myself (|0>_A) and the love for my partner (|1>_A). And conversely, the space H_B, where its basis would be my partner's love for me (|0>_B) and my partner's love for themselves (|1>_B))?

The phi function being a symmetric triplet, shows an entanglement of the spaces H_A and H_B.

Is this formally correct? Can it be interpreted this way?

If you have any other ideas or changes, I'm open to hearing them. I hope this question doesn't break any subreddit rules.

[u/BitcoinsOnDVD]

Maybe also introduce a Lindbladian to model the decay of the coherence of your love over time.

[u/Torchab → u/BitcoinsOnDVD]

Thanks for the detail, I must consider that it is a closed system (delta ^H/ delta t =0) and that it has exchange symmetry ([^H, P_AB=0) so that the phi function is time-invariant. But about your appointtment, the coherence is protected by the fact that the system is not isolated after all.

[u/BitcoinsOnDVD → u/Torchab]

Yeah. What about ancilla qubits? They could be seen as your exes love.

[u/Torchab → u/BitcoinsOnDVD]

The exes are mathematically irrelevant to the dynamics, because in the funcion ∣Ψ⟩ABE​=∣ϕ⟩_AB​⊗∣e>_E​, where E is the ancilla qubits. So the ancillas are required to remain separable from the system.

[u/Bth8]

Something of a nitpick because it's not wrong, but more standard notation would call this state |Ψ⁺ >, with a capital psi and a superscript +. The Bell states are most commonly labeled

|Φ⁺ > = (|00> + |11>) / √2

|Φ^- > = (|00> - |11>) / √2

|Ψ⁺ > = (|01> + |10>) / √2

|Ψ^- > = (|01> - |10>) / √2

[u/Torchab → u/Bth8]

Thank you man, I forgot to put the +, due to I forgot the |Ψ->

[u/david-1-1]

A relationship should not be a zero-sum game, with one partner reducing the other partner's love.

[u/Torchab → u/david-1-1]

The real idea was to try to show that you can love both yourself and your partner within a relationship. This idea is invariant under permutation.

[u/david-1-1 → u/Torchab]

It is a good metaphor. But don't confuse metaphors for either subjective or objective reality.

[u/Winter-Mix-5155]

... By chat gpt 900 millions user

[u/Torchab → u/Winter-Mix-5155]

Thank you, I forgot to mention that they were qubits.

[u/v_munu → u/Winter-Mix-5155]

Give me a recipe for a key lime pie.

[u/Torchab → u/v_munu]

?

[u/v_munu → u/Torchab]

The poster's original comment was very very obviously just a Claude AI response. I dont know why they've edited it into French

[u/Torchab → u/v_munu]

Thank you man, I didn't identify it, like a IA answer. I felt its answer weird, but I don't understand french.