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agaitaarino
agaitaarino
9:25 AM
In the (undercrowded) Quantum Computing SE beta site someone asked about Explicit Lieb-Robinson Velocity Bounds. I found the question worthy and offered my first bounty on it... which is still unclaimed. Maybe some people from the theory salon are up for that?
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Q: Explicit Lieb-Robinson Velocity Bounds

DaftWullieLieb-Robinson bounds describe how effects are propagated through a system due to a local Hamiltonian. They are often described in the form $$ \left|[A,B(t)]\right|\leq Ce^{vt-l}, $$ where $A$ and $B$ are operators that are separated by a distance $l$ on a lattice where the Hamiltonian has, for ex...

simulation performance many-body-systems
 
 
5 hours later…
vzn
vzn
2:18 PM
Lieb-Robinson bounds
The Lieb-Robinson bound is a theoretical upper limit on the speed at which information can propagate in non-relativistic quantum systems. It demonstrates that information cannot travel instantaneously in quantum theory, even when the relativity limits of the speed of light are ignored. The existence of such a finite speed was discovered mathematically by Elliott Lieb and Derek William Robinson in 1972. It turns the locality properties of physical systems into the existence of, and upper bound for this speed. The bound is now known as the Lieb-Robinson bound and the speed is known as the Lieb-Robinson...
hi, it appears the theory was developed significantly prior to QC and hasnt been connected to it a lot, wikipedia doesnt even have any QC citations in the article at all. it seems to involve disregarding qubit transport times and focus on qubit interactions. guess the basic idea would apply to large-qubit gates? does it increase with # of qubits per gate? anyway it looks like a big/ difficult maybe even central open question, a very worthy question but not nec a good fit for SE fmt.
 

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