Roberto Pavani's latest activity
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Roberto Pavani replied to the thread Undergrad Entanglement swapping and Bohmian mechanics.Standard entanglement-swapping setup: two Bell pairs ##|\Phi^+\rangle_{AB} \otimes |\Phi^+\rangle_{CD}## BSM on ##BC##, measurements on... -
Roberto Pavani reacted to Demystifier's post in the thread Undergrad Entanglement swapping and Bohmian mechanics with
Agree.
Even if I accept that there is free will, not merely in some weak/illusional/emergent/compatibilist sense, but in the strong fundamental... -
Roberto Pavani replied to the thread Undergrad Entanglement swapping and Bohmian mechanics.Similar idea was illustrated by the circuit in my earlier post. The point of the circuit is actually quite simple. Start from the...
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Roberto Pavani reacted to emillindberg's post in the thread Undergrad Entanglement swapping and Bohmian mechanics with
Like.
I think neither option quite follows. The future swap does not need to cause the earlier A/D outcomes, and the earlier outcomes do not... -
Roberto Pavani reacted to Matterwave's post in the thread Graduate Is this Hessian/spectral viewpoint known? with Like.
This will be the case only when your ##H## is symmetric (assuming it's real). It's true for the Hessian since mixed partials commute...
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Roberto Pavani replied to the thread Graduate Is this Hessian/spectral viewpoint known?.Good point. You're right that the step ## A = Q \Lambda Q^T ## requires additional assumptions and does not hold for a completely...
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Roberto Pavani replied to the thread Graduate Is this Hessian/spectral viewpoint known?.Thanks for your answer. What I have in mind can be written abstractly as follows. Suppose a scalar field is generated by multiple...
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Roberto Pavani reacted to Matterwave's post in the thread Graduate Is this Hessian/spectral viewpoint known? with Like.
Honestly, I don't know. Maybe something like principal axes/directions of curvature (of x,y,z field)? When I think second derivatives...
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Roberto Pavani replied to the thread Graduate Is this Hessian/spectral viewpoint known?.Fair enough. For charge density and similar field theories, first derivatives certainly play a direct physical role, so my statement was...
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Roberto Pavani replied to the thread Graduate Is this Hessian/spectral viewpoint known?.A very simple example is electrostatics. The electrostatic potential obeys superposition, ## V(\mathbf r)=\sum_a V_a(\mathbf r), ##...
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Roberto Pavani posted the thread Graduate Is this Hessian/spectral viewpoint known? in Linear and Abstract Algebra.I recently encountered a situation where local observables are obtained from the eigendecomposition of a Hessian matrix. A scalar field...
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Roberto Pavani reacted to Morbert's post in the thread Graduate Polarization Entanglement, following Bohmian ideas and/or orthodox QM with
Informative.
I forgot about B. Before A is detected, the state of B is the usual ##\mathrm{tr}_\mathrm{A}\ket{\Phi^+}_\mathrm{AB}##. After A is... -
Roberto Pavani replied to the thread Undergrad Entanglement swapping and Bohmian mechanics.I'd point out that the interesting step is not the decomposition of ρ₁₂₃₄ (which everyone agrees on), but the passage ρ₁₂₃₄ → E(a,b) →...
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Roberto Pavani reacted to Morbert's post in the thread Undergrad Entanglement swapping and Bohmian mechanics with Like.
To explicitly model* the measurement of 2 and 3 first, we would include the apparatus degrees of freedom and trace over them...
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Roberto Pavani replied to the thread Undergrad Entanglement swapping and Bohmian mechanics.I've edited the post adding the missing attachment here "stripped" condensed output: === Full ensemble (q0...