Physicists create elusive particles that remember their pasts
quantamagazine.org
quantamagazine.org
> Some physicists consider these efforts simulations, because the qubits inside the processor are abstractions of particles (while their physical nature varies from lab to lab, you can visualize them as particles spinning around an axis). But the quantum nature of the qubits is real, so — simulations or not — the processors have become playgrounds for topological experiments.
So far (AFAIU) anything that can be simulated on a qc can also be simulated (much more easily) on a classical computer. Did the simulation leverage specific quantum properties of the qubits in a way that resulted in a genuinely never-seen-before physical system, or did they just simulate it on a qc for the heck of it?
Guess I'll wait for the Scott Aaronson writeup.
Edit: feeling kinda bad to give the stereotypical skeptical/dismissive comment, so I want to stress that I legitimately don't understand a lot of what is actually happening here. Maybe it's way cooler than I'm making it out to be.
You can get a lot of flexibility from all the extra stuff you have controlling your simulator, but the simulator is essentially the same thing it is simulating. You don't have to ignore anything.
But the abstract of the pre-print (https://arxiv.org/abs/2210.10255) covers some of what you are asking:
"Despite the well developed mathematical description of non-Abelian anyons and numerous theoretical proposals, the experimental observation of their exchange statistics has remained elusive for decades. Controllable many-body quantum states generated on quantum processors offer another path for exploring these fundamental phenomena. While efforts on conventional solid-state platforms typically involve Hamiltonian dynamics of quasi-particles, superconducting quantum processors allow for directly manipulating the many-body wavefunction via unitary gates."
They created a collection of quasi-particles that has different statistical properties that we don't see in 3D (the Non-abelian anyon https://en.wikipedia.org/wiki/Anyon). So simulated or created becomes a tricky word here, the quantum processor is putting these qubits into a state that acts as a quasi-particle so they can study it directly. So no a classical computer would not be able to do this in the same way it would have to use classical bits to simulate the quasi-particle.
That quote is extremely terse and would have taken a considerable amount of time to understand.
A few things about this idea.
1. It really depends on what you mean by "more easily." From a technical perspective, yes, simulating this on a classical computer is much easier. But simulating this on a quantum computer gives an exponential speed up, presuming you can live with the provisos associated with such a simulation.
2. Suppose our _model_ of quantum mechanics itself is wrong. For example, suppose we live in a universe where some peculiar physical collapse theory obtains (it would have to be peculiar indeed given the constraints we have on such a thing, but presume anyway, for the sake of argument). Then the quantum simulation may indeed tell us something that we don't know. If you've read Aaronson's book, he sort of suggests this is one of the cool things about Quantum Computing: it operates as an experimental domain within which some pretty strict limits on our quantum theory can be tested. Eg, if we did discover that there is a physical collapse of some kind, then one way that might happen is with a non-linearity in the Schrodinger Equation. But if there is such a non-linearity than it has some pretty profound (one might even say absurd) implications for what you can get away with with a quantum computer.
The simulation is like a reverse of those scaled flood models. Yes it’s a scaled simulation, but the same fluid dynamics come into play. It’s not a math model simulation like you would perform on a classical computer.
https://mateusaraujo.info/2022/12/01/the-death-of-quanta-mag...
One subset of problems that are solved exponentially faster are those that intersect with tensor products. Entanglement essentially "is" a tensor product of the probabilistic state space of two qubits.
From _ and EM Wave Polarization Transductions (1999):
> Time As Energy and Why It Is Very Dense Energy: In addition to the three spatial polarizations of photons and EM waves, there is a very, very useful t-polarization along the time axis. In this polarization, the 3-spatial energy is not oscillating at all. Instead, the time or time- energy is oscillating. Time can be taken to be energy compressed by at least c2, so it has at least the same energy density as mass. In other words, one second is 9x10^16 joules of time- energy (energy compressed into time). The t- polarized photon or EM wave is called the scalar photon or scalar EM wave, respectively. [... MKS units ... 1999 ... probably real]
Circularly-polarized light: https://youtu.be/QCX62YJCmGk?si=9Vqx7RB6v74WG5bv
"Physicists use a 350-year-old theorem to reveal new properties of light waves" (2023) https://news.ycombinator.com/item?id=37226121