The rules of quantum physics[...] use mathematical operators called Hermitian Hamiltonians. Hermitian operators have underpinned quantum physics for nearly 100 years, but recently, theorists have realized that it is possible to extend its fundamental equations to the use of Hermitian operators that are not Hermitian. The new equations describe a universe with its own peculiar set of rules: For example, by looking in the mirror and reversing the direction of time, you should see the same version of you as in the actual world. In their new paper, a team of researchers [...] used a quantum computer to create a toy universe that behaves according to these new rules.
The researchers made qubits, the part of the quantum computer that carries out calculations, behave according to the new rules of non-Hermitian quantum mechanics. They demonstrated experimentally a couple of exciting results that are forbidden by regular Hermitian quantum mechanics. [...] applying operations to the qubits did not conserve quantum information—a behavior so fundamental to standard quantum theory that it results in currently unsolved problems like Stephen Hawking's black hole information paradox. [...]
Entanglement is a type of correlation that appears between qubits, as if they have a magic connection that makes them behave in sync with each other. [...] Under regular quantum physics, it is not possible to alter the degree of entanglement between two particles by tampering with one of the particles on its own. However, in non-Hermitian quantum mechanics, the researchers were able to alter the level of entanglement of the qubits by manipulating just one of them, a result that is expressly off-limits in regular quantum physics.
"The exciting thing about these results is that quantum computers are now developed enough to start using them for testing unconventional ideas that have been only mathematical so far," said Sorin Paraoanu. "With the present work, Einstein's 'spooky action at a distance' becomes even spookier. And although we understand very well what is going on, it still gives you the shivers."
[...] Several novel optical or microwave-based devices developed in recent times do seem to behave according to the new rules. The present work opens the way to simulating these devices on quantum computers.'
https://phys.org/new...cs-quantum.html
An expert on computational linear algebra told me iirc that the applications of quantum computing to linear algebra problems would be severely limited by the restriction to Hermitian operators. So without that restriction....
This post has been edited by Azath Vitr (D'ivers: 15 February 2021 - 08:04 PM

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