Graph-weighted functional for distinguishing Lindblad-equivalent quantum channels via interaction topology

I am an independent researcher with a background in Computer Systems Engineering, working on open quantum systems and quantum information theory.

I have developed a manuscript introducing a graph-weighted functional Φ_struct defined on the Choi matrix of a quantum channel, combined with a coarse-grained interaction graph.

The motivation is the known non-uniqueness in open quantum systems: different microscopic interaction structures can generate identical Lindblad master equations while differing in their underlying process structure.

If anyone is interested in this madness and would like to collab on the research and paper in general, please feel free to check out the current version and have a discussion from there.
Research Paper v1 - QPH

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u/GearFar5131 — 5 days ago

Here is a hypothesis: interaction geometry leaves detectable structural fingerprints in quantum channels even when reduced dynamics are identical.

I am an independent researcher with a background in Computer Systems Engineering and a long-standing interest in quantum information theory. While studying open quantum systems (on my own), I became interested in a known result from the process tensor framework: distinct microscopic interaction structures can produce identical Lindblad dynamics.

This led me to explore whether interaction topology itself could be used as a classification axis.

I wrote a manuscript proposing a graph-weighted functional, Φ_struct, defined on quantum channels and interaction graphs. The goal is not to modify quantum mechanics, but to provide a structural diagnostic that may help distinguish different interaction architectures when reduced dynamics alone are insufficient.

The work draws on Choi representations, Lindblad dynamics, and ideas from process tensor theory.

I am currently preparing an arXiv submission and am interested in feedback from people familiar with open quantum systems, quantum information, or mathematical physics.

Computational tools were used for literature organization and algebraic assistance, but the hypotheses, framework, and manuscript development were directed by me.

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u/GearFar5131 — 7 days ago
▲ 8 r/SomebodyMakeThis+8 crossposts

For years, I had the same problem. I’d see a good video on YouTube, then something interesting on Facebook, then a Reddit post I wanted to read properly later. Every time I told myself, “I’ll come back to this.”

I never did.

My system was chaos. Sometimes I’d send links to myself on WhatsApp, sometimes save inside apps, sometimes Notes, sometimes bookmarks. Then when I finally had time, I’d just sit there like: “Where did I even save that thing?” and give up.

I build apps all the time, bigger, sometimes complex ones. So one day I thought, “This should be easy. Just save links and open them later.” A quick mini project. I also assumed there were already tons of apps doing this anyway.

Before building, I asked a few friends how they handle links. Same story: WhatsApp, saved posts, open tabs, forgetting most of them. Basically… the same mess.

So I built something small. Simple. No overthinking.

When I shared it with them, their reaction was interesting. They were happy.. but not like, “Wow you built this?” More like, “You introduced us to a solution.” I don’t even think they know I built it.

Then I got curious about what everyone else around the world is using. Turns out there was a popular app (I think it was Pcket) that died. Tools like Raindrop. io came along, but they feel more like power-user bookmark managers, folders, tags, organization. Great, but not what I wanted.

I just wanted this:
save something → come back later → watch or read it.

No friction. One place. Done.

That small “lazy weekend project” is now something I use every day now, and a few people around me use it too.

If you’re like us, saving links everywhere, forgetting them, or never going back, this might help:
https://play.google.com/store/apps/details?id=com.contenthub.app

Would genuinely love feedback... does this solve your problem? Anything you’d improve? Any bugs?

NB: “Share to” feature is coming in the next update.

u/GearFar5131 — 28 days ago
▲ 0 r/tryhackme+2 crossposts

I’ve been thinking about this a lot lately, and honestly… I don’t think most companies have a real answer.

Everyone is using AI now:

  • devs debugging with ChatGPT
  • support teams pasting customer issues
  • analysts uploading reports
  • even internal tools calling LLM APIs directly

But if you look closely at what’s being sent…

It’s not just “text”.

It’s:

  • customer emails, phone numbers, addresses
  • API keys and internal tokens
  • database connection strings
  • payment details
  • sometimes even full identity info

And all of that is being sent to external models.

The uncomfortable part:

Most teams rely on:

  • “don’t paste sensitive data” policies
  • trust in the model provider
  • or nothing at all

But in reality:

  • people will paste real data (especially under pressure)
  • logs, retries, and debugging can store that data
  • models can echo or transform it in weird ways
  • prompt injection can literally try to extract secrets

Simple example:

A developer debugging might paste something like:

>

That’s it.
Now your credentials just left your system.

So what’s the actual solution?

This is where I got stuck.

Because telling people “don’t do it” doesn’t work.

You need something that works even when people make mistakes.

What we’re experimenting with:

We started building a proxy layer in front of LLMs that:

  • detects sensitive data before it leaves your system
  • replaces it with tokens
  • sends only safe data to the model
  • then reconstructs responses safely
  • and blocks anything suspicious coming back

So from the user’s perspective:

>

But under the hood:

>

The tricky part:

Now we’re dealing with questions like:

  • Should the system remember sensitive data across sessions?
  • If a user asks “what was the card number again?”, do you allow it?
  • How do you stop the model from hallucinating fake sensitive data?
  • Where do you draw the line between usability and security?

Why I’m posting:

I feel like this problem is way bigger than people admit, but not many are talking about it seriously.

If you’re working in:

  • engineering
  • security
  • AI/ML
  • or building internal tools

How are you handling this?

Actual solutions, not policies.

We’re building something around this (OpenAI-compatible proxy with detection + tokenization), but I’m more interested in whether people think this approach makes sense, or if we’re missing something obvious.
Sample Video Demo of Aegis: https://youtu.be/IFhf3k-Tjf8

u/GearFar5131 — 1 month ago