TO: Alexey Milekhin, Physics Department, University of California, Santa Barbara
FM: Bruce E. Camber
RE: Your work with Popov, referenced here; then Measurement-induced phase transitions in quantum teleportation, Bulletin of the American Physical Society, ArXiv, March 2023; and with Juan Maldacena: Alexey Milekhin, “Humanly traversable wormholes“. Physical Review D. 103 (6): 066007, arXiv: 2008.06618. doi:10.1103/PhysRevD.103.066007, March 2021; and Fedor Popov, The Center for Cosmology and Particle Physics, New York University, a Simons Junior Fellow at NYU and with support from the Simons Foundation., and Milekhin/Popov, Measurement-induced phase transitions in quantum teleportation [Abstract. We demonstrate that some quantum teleportation protocols exhibit measurement-induced phase transitions in Sachdev-Ye-Kitaev model. Namely, Kitaev-Yoshida and Gao-Jafferis-Wall protocols have a phase transition if we apply them at a large projection rate or at a large coupling rate respectively. It is well-known that at small rates they allow teleportation to happen only within a small time-window. We show that for large rates, the teleportation can be performed at any moment. These two regimes are separated by a phase transition. In order to analyze Kitaev-Yoshida case, we argue that certain projections can be approximated by low-energy quantum channels, which do not heat the system but qualitatively behave like a real projection. An unusual feature of this measurement-induced phase transition is that it can be diagnosed by an observable linear in the density matrix]. And, Google Scholar.
This page: https://81018.com/milekhin/
Second email: February 2026
We will write to Milekhin and Popov this month!
First email: 18 September 2023 at 5:43 PM
Dear Prof. Dr. Alexey Milekhin:
We believe your work, Measurement-induced phase transitions in quantum teleportation, (PDF), is set within the following parameters:
1. The universe is encapsulated by 202 base-2 notations from the Planck Time/Planck Length to this day, the Now. That chart is here: https://81018.com/chart/. It all started when first-year geometry students followed the tetrahedron, its octahedron within it, and a base-2 regression back the 112 steps within both to the Planck Length and Planck Time, then out the 90 steps to the current time and approximate size of the universe.
2. The first 56 notations, well-below the thresholds for measurement, are the epitome of smoothness. There is a perfection within those geometries creating and filling space-and-time. There is too little time, too much density, and too little room for anything but the perfections of pi and the infinitesimal spheres being generated.
3. Inherent within pi and the spheres are three facets, continuity-symmetry-and-harmony; and in spite of quantum physics, there can be synchronicity and alignments within groups of notations.
Idiosyncratic, of course. But, look at your own work!
I thought you might be amused, interested, and possibly even fascinated. Thank you.
Warmest regards,
Bruce
PS. Now, today (19 September 2023), looking at the three parameters above, I think it is important to add a fourth as a boundary condition/parameter. That is electromagnetism-gravity, a fundamental and natural relation, on the order of space-time, matter-energy, when the Milnor–Smale attractors and repellers are introduced at the Planck Scale. Thanks –BEC
Also note: Another email is sent to Milekhin/Popov team as well as to Milnor and Smale pointing them all to this page. Of course, it’s totally audacious, but life is short and there’s got to be an awakening to simplicity and commonsense (simple logic) and we don’t know who will be brave enough to engage it, then encourage it. -BEC